Alexander I. Bobenko. Published papers

[110] A.I. Bobenko, A. Sridhar, Abelian Higgs Vortices and Discrete Conformal maps, Lett. Mat. Phys. (to appear), Preprint (2017) arXiv:1703.04735 [math-ph]

[109] A. Akopyan, A.I. Bobenko, Incircular nets and confocal conics, Trans. AMS (to appear), Preprint (2016) arXiv:1602.04637 [math.MG]

[108] A.I. Bobenko, F. Günther, Discrete Riemann surfaces based on quadrilateral cellular decompositions, Advances in Mathematics,Volume 311, (2017), 885–932, Preprint (2015) arXiv:1511.00652 [math.CV]

[107] A.I. Bobenko, N. Dimitrov, S. Sechelmann, Discrete uniformization of polyhedral surfaces with non-positive curvature and branched covers over the sphere via hyper-ideal circle patterns, Discrete and Computational Geometry, v. 57, (2017), 431-469, Preprint (2015) arXiv:1510.04053 [math.MG]

[106] A.I. Bobenko, S. Sechelmann, B. Springborn, Discrete conformal maps: Boundary value problems, cirlce domains, Fuchsian and Schottky uniformizations, In: Advances in Discrete Differential Geometry, A.I. Bobenko (ed.), Springer, 2016, 1-56

[105] A.I. Bobenko, F. Günther, Discrete complex analysis on planar quad-graphs, In: Advances in Discrete Differential Geometry, A.I. Bobenko (ed.), Springer, 2016, 57-132, Preprint (2015) arXiv:1505.05673 [math.CV]

[104] A.I. Bobenko, T. Hoffmann, S-conical CMC surfaces. Towards a unified theory of discrete surfaces with constant mean curvature, In: Advances in Discrete Differential Geometry, A.I. Bobenko (ed.), Springer, 2016, 287-308

[103] M. Joswig, M. Mehner, S. Sechelmann, J. Techter, A.I. Bobenko, DGD Gallery: Storage, sharing, and publication of digital research data, In: Advances in Discrete Differential Geometry, A.I. Bobenko (ed.), Springer, 2016, 421-439, Preprint (2015) arXiv:1512.04364 [cs.OH]

[102] A.I. Bobenko, W.K. Schief, Yu.B. Suris, J. Techter, On a discretization of confocal quadrics. I. An integrable systems approach, Journal of Integrable Systems (2016) Volume 1:1, 1-34, doi:10.1093/integr/xyz005 , Preprint (2016) arXiv:1511.01777 [math.DG]

[101] A.I. Bobenko, W.K. Schief, Circle complexes and the discrete CKP equation, Internat. Math. Research Notices, vol. 2017(5), 1504-1561, Preprint (2015) arXiv:1509.04109 [math.DG]

[100] A.I. Bobenko, E. Huhnen-Venedey, T. Rörig, Supersyclidic nets, Internat. Math. Research Notices, vol. 2017 (2), 323-371, Preprint (2014) arXiv:1412.7422 [math.DG]

[99] A.I. Bobenko, M.P. Weidner, On a new conformal functional for simplicial surfaces, In: Curves and Surfaces 2014, J.-D. Boissonnat et al. (eds.), Lect. Notes in Comp. Sci. 9213, Springer, 2015, 47-59, Preprint (2015) arXiv:1505.08054 [math.DG]

[98] A.I. Bobenko, A. Its, The asymptotic behaviour of the discrete holomorphic map Z^a via the Riemann-Hilbert method, Duke Math. J. 165:14, (2016), 2607-2682, Preprint (2014) arXiv:1409.2667 [math.CV]

[97] A.I. Bobenko, W.K. Schief, Discrete line complexes and integrable evolution of minors, Proc. Royal Soc. A. 471, (2015) 20140819 ,DOI: 10.1098/rspa.2014.081, Preprint (2014) arXiv:1410.5794 [math.DG]

[96] A.I. Bobenko, U. Hertrich-Jeromin, I. Lukyanenko, Discrete constant mean curvature nets in space forms:
Steiner's formula and Christoffel duality, Discrete and Computational Geometry (2014) 52, 612-629, Preprint (2014) arXiv:1409.2001 [math.DG]

[95] A.I. Bobenko, U. Pinkall, B. Springborn, Discrete conformal maps and ideal hyperbolic polyhedra, Geometry and Topology., 19, (2015), 2155-2215, Prerpint (2010) arXiv:1005.2698 [math.GT]

[94] A.I. Bobenko, Yu.B. Suris, Discrete pluriharmonic functions as solutions of linear pluri-Lagrangian systems, Comm. Math. Phys., 336(1), (2015), 199-215, Preprint (2014), arXiv:1403.2876 [math-ph], Computer algebra proof of Theorem 12 (Mathematica file)

[93] A.I. Bobenko, M. Skopenkov, Discrete Riemann surfaces: linear discretization and its convergence, J. reine und angew. Math.,720, (2016), 217-250, Preprint (2012) arXiv:1210.0561 [math.CV]

[92] R.F. Bikbaev, A.I. Bobenko, A.R. Its, Landau-Lifshitz equation, uniaxial anisotropy case: Theory of exact solutions, Theoretical and Mathematical Physics, 178(2), (2014), 143-193, [pdf file English], [pdf file Russian]

[91] A.I. Bobenko, B. Springborn, Diskretisierung in Geometrie und Dynamik - Elastische Stäbe und Rauchringe, Mitteilungen der DMV, 21(4), (2013), 218-224

[90] S. Sechelmann, T. Rörig, A.I. Bobenko, Quasiisothermic mesh layout. In: Advances in Architectural Geometry 2012, L. Hesselgreet al. (eds.), Springer, 2013, 243-258

[89] A.I. Bobenko, F. Günther, On discrete integrable equations with convex variational principles, Lett. Math. Phys. (2012), 102, 181-202, Preprint (2011) arXiv:1111.6273 [nlin.SI]

[88] A.I. Bobenko, E. Huhnen-Venedey, Curvature line parametrized surfaces and orthogonal coordinate systems. Discretization with Dupin cyclides, Geometria Dedicata (2012), 159:1, 207-237 , Preprint (2011) arXiv:1101.5955 [math.DG]

[87] V.E. Adler, A.I. Bobenko, Yu.B. Suris, Classification of integrable discrete equations of octahedron type, Internat. Math. Research Notices 2011, doi:10.1093/imrn/rnr083, 1-68, [pdf file], [html file], Preprint (2010) arXiv:1011.3527 [nlin.SI]

[86] A.I. Bobenko, Introduction to Compact Riemann Surfaces, In: Computational Approach to Riemann Surfaces, A.I. Bobenko, Ch. Klein (Eds.), Lecture Notes in Mathematics, Vol. 2013, Springer, 2011, 3-64   [pdf file]

[85] A.I. Bobenko, Ch. Mercat, M. Schmies, Conformal Structures and Period Matrices of Polyhedral Surfaces, In: Computational Approach to Riemann Surfaces, A.I. Bobenko, Ch. Klein (Eds.), Lecture Notes in Mathematics, Vol. 2013, Springer, 2011, 213-226, Preprint (2009) arXiv:0909.1305 [math.DG]   [pdf file]

[84]. A.I. Bobenko, H. Pottmann, J. Wallner, A curvature theory for discrete surfaces based on mesh parallelity, Math. Annalen 348 (2010), 1-24,  Preprint (2009) arXiv:0901.4620 [math.DG]  [pdf file]

[83]. A.I. Bobenko, Yu.B. Suris, On the Lagrangian structure of integrable quad-equations, Lett. Math. Phys. 92, No.1 (2010), 17-31 ,  Preprint (2009) arXiv:0912.2464 [nlin.SI]   [pdf file]

[82]. V.E. Adler, A.I. Bobenko, Yu.B. Suris, Integrable discrete nets in Grassmannians, Lett. Math. Phys. 89 (2009) 131-139,  Preprint (2008) arXiv:0812.5102 [math.DG]  [pdf file]

[81]. A.I. Bobenko, Yu.B. Suris, Discrete Koenigs nets and discrete isothermic surfaces, Internat. Math. Research Notices (2009) 1976-2012, Preprint (2007) arXiv:0709.3408 [math.DG]   [pdf file]

[80]. V.E. Adler, A.I. Bobenko, Y.B. Suris, Discrete nonlinear hyperbolic equations. Classification of integrable cases, Functional Anal. and Appl. 43, No.1 (2009),  3-21, Preprint (2007) arXiv:0705.1663 [nlin.SI]  [pdf file](Russian)   [pdf file](English)

[79]. A.I. Bobenko, Exploring Surfaces through Methods from the Theory of Integrable Systems: The Bonnet Problem, In: Surveys on Geometry and Integrable Systems, Advanced Studies in Pure Mathematics 51 (2008) 1-51, SFB288 Preprint 403 (1999),  math.DG/9909003   [pdf file]

[77]. A.I. Bobenko, Surfaces from Circles, In: Discrete Differential Geometry, A.I. Bobenko, P. Schröder, J.M. Sullivan, G.M. Ziegler, (eds.), Series: Oberwolfach Seminars, Vol. 38, 2008,  (Preprint) arXiv:0707.1318 [math.DG]  [pdf file]

[76]. A.I. Bobenko, I. Izmestiev, Alexandrov's theorem, weighted Delaunay triangulations, and mixed volumes, Annales de l'Institut Fourier 58:2 (2008) 447-505,  Preprint (2006), math.DG/0609447   [pdf file] (preprint)

[75]. H. Pottmann, Y. Liu, J. Wallner, A. Bobenko, W. Wang, Geometry of Multi-layer Freeform Structures for Architecture,   ACM Trans. Graphics 26(3) (2007), SIGGRAPH 2007   [pdf file]

[74]. A.I. Bobenko, Yu.B. Suris, Isothermic surfaces in sphere geometries as Moutard nets, Proc. Royal. Soc. A. 463 (2007) 3171-3193, Preprint (2006) math.DG/0610434   [pdf file]

[73]. A.I. Bobenko, B.A. Springborn, A discrete Laplace-Beltrami operator for simplicial surfaces, Discrete and Computational Geometry 38:4 (2007) 740-756,  Preprint (2005) math.DG/0503219  [pdf file]

[72]. M. Fischer, B. Springborn, P. Schröder, A.I. Bobenko, An Algorithm for the Construction of Intrinsic Delaunay Triangulations with Applications to Digital Geometry Processing, Computing 81:2-3 (2007) 199-213,  Preprint (2006)

[71]. A.I. Bobenko, Yu. B. Suris, On organizing principles of Discrete Differential Geometry. The geometry of spheres. Uspekhi Mat. Nauk 62 (2007), no. 1(373), 3--50; translation in Russian Math. Surveys 62 (2007), no. 1, 1--4 [pdf file] (English)   [pdf file] (Russian)

[70].A.I. Bobenko, Geometry of discrete integrability. The consistency approach, In: Faddeev et al. (eds.), Bilinear Integrable Systems: From Classical to Quantum, Continous to Discrete, 2006, Springer, 43-53  [pdf file]

[69]. A.I. Bobenko, T. Hoffmann, B.A. Springborn, Minimal surfaces from circle patterns: Geometry from combinatorics, Ann. of Math. 164:1 (2006) 231-264,  Preprint (2003), math.DG/0305184  [pdf file]

[68]. A.I. Bobenko, A conformal energy for simplicial surfaces,Combinatorial and Computational Geometry, MSRI Publications, V. 52, 2005,133-143, Preprint (2004),  math.DG/0406128 [pdf file]

[67]. A.I. Bobenko, P. Schröder, Discrete Willmore Flow, Eurographics Symposium on Geometry Processing (2005), M. Desbrun, H. Pottmann (eds.), 101-110   [pdf file]

[66]. A.I. Bobenko, Ch. Mercat, Yu.B. Suris, Linear and nonlinear theories of discrete analytic functions. Integrable structure and isomonodromic Green's function, J. reine und angew. Math. 583 (2005) 117-161   math.DG/0402097   [pdf file]

[65]. A.I. Bobenko, D. Matthes, Yu.B. Suris, Nonlinear hyperbolic equations in surface theory: integrable discretizations and approximation results, Algebra and Analysis 17:1 (2005) 53-83, St. Petersburg Math. J. 17:1 (2006), 39-61   math.NA/0208042   [pdf file]

[64]. V.E. Adler, A.I. Bobenko, Yu.B. Suris, Geometry of Yang-Baxter maps: pencils of conics and quadrirational mappings, Communications in Analysis and Geometry 12:5 (2004) 967-1008,  math.QA/0307009   [pdf file]

[63]. A.I. Bobenko, Discrete Differential Geometry. Integrability as Consistency. In: Lect. Notes Phys. 644, 85-110 (2004),  [pdf file]

[62]. B.Deconinck, M. Heil, A.I. Bobenko, M. van Hoeij, M. Schmies, Computing Riemann Theta Functions, Mathematics of Computation 73 (2004) 1417-1442,  SFB288 Preprint 560 (2002),  nlin.SI/0206009  [pdf file]

[61]. A.I. Bobenko, B.A. Springborn, Variational principles for circle patterns and Koebe's theorem, Trans. AMS 356 (2004) 659-689SFB288 Preprint 545 (2002),  arXiv:math/0203250   [pdf file]

[60]. A.I. Bobenko, T.V. Pavlyukevich, B.A. Springborn, Hyperbolic constant mean curvature one surfaces: Spinor representation and trinoids in hypergeometric functions, Math. Z. 245 (2003) 63-91SFB288 Preprint 554 (2002),  math.DG/0206021  [pdf file]

[59]. S.I. Agafonov, A.I. Bobenko, Hexagonal circle patterns with constant intersection angles and discrete painlevé and Riccati equations, J. Math. Phys. 44:8 (2003) 3455-3469, Preprint (2003)  math.CV/0301282   [pdf file]

[58]. A.I. Bobenko, D. Matthes, Yu.B. Suris, Discrete and smooth orthogonal systems: $C^\infty$-approximation, Internat. Math. Research Notices 2003:45, 2415-2459 Preprint (2003),  math.DG/0303333   [pdf file]

[57]. V. E. Adler, A.I. Bobenko, Yu.B. Suris, Classification of integrable equations on quad-graphs. The consistency approach, Comm. Math. Phys. 233 (2003) 513-543 SFB288 Preprint 557 (2002),  nlin.SI/0202024   [pdf file]

[56]. A.I. Bobenko, T. Hoffmann, Hexagonal circle patterns and integrable systems. Patterns with constant angles, Duke Math. J. 116:3 (2003) 525-566  SFB288 Preprint 516 (2001),  math.CV/0109018  [pdf file]

[55]. A.I. Bobenko, Yu.B. Suris, Integrable non-commutative equations on quad-graphs. The consistency approach, Lett. Math. Phys. 61 (2002) 241-254SFB288 Preprint 558 (2002),  nlin.SI/0206010   [pdf file]

[54]. A.I. Bobenko, Yu.B. Suris, Integrable systems on quad-graphs, International Math. Research Notices 2002:11, 573-612, SFB288 Preprint 521 (2001),  nlin.SI/0110004   [pdf file]

[53]. A.I. Bobenko, T. Hoffmann, Yu.B. Suris, Hexagonal circle patterns and integrable systems. Patterns with the multi-ratio property and Lax equations on the regular triangular lattice, International Math. Research Notices 2002:3, 111-164 SFB288 Preprint 502 (2001),  math.CV/0104244  [pdf file]

[52]. A.I. Bobenko, U.J. Hertrich-Jeromin, Orthogonal Nets and Clifford Algebras, Tohoku Math. Publ. 20 (2001) 7-22, SFB288 Preprint 310 (1998),   math.DG/9802126  [pdf file]

[51]. A.I. Bobenko, M. Umehara, Monodromy of isometric deformations of CMC surfaces, Hiroshima Math. Journal 31:2 (2001) 291-297   [pdf file]

[50]. A.I. Bobenko, T. Hoffmann, Conformally symmetric circle packings. A generalization of Doyle spirals, Experimental Mathematics 10:1 (2001) 141-150 SFB288 Preprint 468 (2000),  interactive version with Java appletsmath.CV/0005245 [pdf file]

[49]. S.I. Agafonov, A.I. Bobenko, Discrete Z^a and painlevé Equations, International Math. Research Notices 2000:4 165-193, SFB288 Preprint 404 (1999),  solv-int/9909002  [pdf file]

[48]. A.I. Bobenko, W.K. Schief, Affine Spheres: Discretization via Duality Relations, Experimental Mathematics 8:3 (1999), 261-280,   SFB288 Preprint 297 (1997)   [pdf file]

[47]. A.I. Bobenko, Yu.B. Suris, Discrete Lagrangian Reduction, Discrete Euler-Poincaré Equations, and Semidirect Products, Lett. Math. Phys. 49 (1999) 79-93SFB288 Preprint 398 ,   math.SG/9906108   [pdf file]

[46]. A.I. Bobenko, U. Pinkall, Discretization of Surfaces and Integrable Systems, In: A.I. Bobenko, R. Seiler (eds.) "Discrete Integrable Geometry and Physics", Oxford University Press (1999) pp. 3-58 SFB288 Preprint 296 (1997)  [pdf file]

[45]. A.I. Bobenko, W.K. Schief, Discrete Indefinite Affine Spheres, In: A.I. Bobenko, R. Seiler (eds.) "Discrete Integrable Geometry and Physics", Oxford University Press (1999) pp.113-138 SFB288 Preprint 263 (1997)  [pdf file]

[44]. A.I. Bobenko, Discrete Conformal Maps and Surfaces, In: P.A. Clarkson, F.W. Nijhoff (eds.) "Symmetries and Integrability of Difference Equations", London Mathematical Society Lecture Notes Series 255, Cambridge University Press 1999, pp. 97- 108 (GANG Preprint IV.27 , University of Massachusetts, Amherst (1996))  [pdf file]

[43]. A.I. Bobenko, Yu.B. Suris, Discrete time Lagrangian mechanics on Lie groups, with an application on the Lagrange top, Comm. Math. Phys. 204 (1999), 147-188, SFB288 Preprint 345 (1998),  solv-int/9810018  [pdf file]

[42]. A.I. Bobenko, Discrete Integrable Systems and Geometry, In: "12th International Congress of mathematical Physics ICMP '97", (Brisbane, Australia, July 1997) Eds. D. De Wit, A.J. Bracken, M.D. Gould, P.A. Pearce, International Press, Boston 1999, pp. 219-226, SFB288 Preprint 298 (1997)   [pdf file]

[41]. A.I. Bobenko, A.V. Kitaev, On Asymptotic Cones of Surfaces with Constant Curvature and the Third painlevé Equation, Manuscripta Math. 97 (1998), 489-516 SFB288 Preprint 315 (1998)   [pdf file]

[40]. A.I. Bobenko, B. Lorbeer, Yu.B. Suris, Integrable Discretizations of the Euler top, Journal of Mathematical Physics, Vol. 39:12 (1998), 6668-6683, SFB288 Preprint 312 (1998), solv-int/9803016   [pdf file]

[39]. A.I. Bobenko, Helicoids with Handles and Baker-Akhiezer Spinors, Math. Z. 229 (1998), 9-29 , SFB288 Preprint 264 (1997) [pdf file]

[38]. A.I. Bobenko, U. Eitner, Bonnet Surfaces and painlevé Equations, J. reine angew. Math. 499 (1998) 47-79 SFB288 Preprint 151 (1994) [pdf file]

[37]. A.I. Bobenko, U. Eitner, A.V. Kitaev, Surfaces with Harmonic Inverse Mean Curvature and Painlevé Equations, Geometriae Dedicata 68 (1997) 187-227 SFB288 Preprint 182 (1995)   [pdf file]

[36]. A.I. Bobenko, U. Pinkall, Discrete Surfaces with Constant Negative Gaussian Curvature and the Hirota Equation, J. Differential Geometry 43 (1996) 527-611,,   SFB288 Preprint 127 (1993)   [pdf file]

[35]. A.I. Bobenko, U. Pinkall, Discrete Isothermic Surfaces, J. reine angew. Math. 475 (1996) 187-208 SFB288 Preprint 143 (1994)   [pdf file]

[34]. V. Bazhanov, A. Bobenko, N. Reshetikhin, Quantum Discrete Sine-Gordon Model at Roots of 1: Integrable Quantum System on the Integrable Classical Background, Comm. Math. Phys. 175 (1996) 377-400   SFB288 Preprint 166 (1995)   [pdf file]

[33]. A.I. Bobenko, N. Ercolani, H. Knoerrer, E. Trubowitz, Density of heat curves in the moduli space, Panoramas of Mathematics, Banach Center Publications 34, 19-27, , v. Warszava (1995) [pdf file]

[32]. A.I. Bobenko, A.R. Its A, The Painlevé III Equation and the Iwasawa Decomposition, Manuscripta Mathematica 87, 369-377 (1995)   [pdf file]

[31]. A.I. Bobenko, S.B Kuksin, Small-Amplitude Solutions of the Sine-Gordon Equation on an Interval under Dirichlet or Neumann Boundary Conditions, Journal of Nonlinear Science 5, 207-232 (1995) [pdf file]

[30]. A.I. Bobenko, S.B. Kuksin, The Nonlinear Klein-Gordon Equation on an Interval as a Perturbed Sine-Gordon Equation, Comm. Math. Helvetici 70, 63-112 (1995)  [pdf file]

[29]. A.I. Bobenko, M. Bordemann, C. Gunn, U. Pinkall, On two integrable cellular automata, Comm. Math. Phys. 158, 127-134 (1993)  [pdf file]

[28]. M.V. Babich, A.I. Bobenko, Willmore tori with umbilic lines and minimal surfaces in hyperbolic space, Duke Mathematical Journal 72:1, 151-185 (1993)  [pdf file]

[27].A.I. Bobenko, Surfaces in Terms of 2 by 2 Matrices. Old and New Integrable Cases, SFB288 Preprint 66 (1993) In: A.P. Fordy, J.C. Wood (eds.) "Harmonic Maps and Integrable Systems", Vieweg, Braunschweig/Wiesbaden 1994, pp. 81-127 [pdf file]

[26]. A.I. Bobenko, N. Kutz, U. Pinkall, The discrete quantum pendulum, Physics Letters A 177, 399-404 (1993)   [pdf file]

[25]. A.I. Bobenko, S.B. Kuksin, Finite-gap periodic solutions of the KdV equation are non-degenerate. Physics Letters A 161, 274-276 (1991)   [pdf file]

[24]. A.I. Bobenko, Constant mean curvature surfaces and integrable equations. Uspekhi Mat. Nauk 46:4, 3-42 (1991), [English transl.: Russian Math. Surveys 46:4, 1-45 (1991) [pdf file] (English)   [pdf file] (German)

[23]. A.I. Bobenko, All constant mean curvature tori in R3, S3 and H3 in terms of theta-functions. Math. Ann. 290, 209-245 (1991) [pdf file]

[22]. A.I. Bobenko, Integrable surfaces. In "Nonlinear World" (ed. V.G.Bar´yakhtar et al.), v.1, 36-55, World Scientific, Singapore (1990)

[21]. A.I. Bobenko, Integrable surfaces. Functional Anal. i Priloz. 24:3, 68-69 (1990), [Functional Anal. Appl. 24, 227-228 (1990)]   [pdf file] (English)   [pdf file] (Russian)

[20]. A.I. Bobenko, Eigenfunctions of the Dirichlet and Neumann problems for the elliptic sinh-Gordon equation on a rectangle. Zap. Nauch. Semin. Leningrad. Otdel. Mat. Inst. Steklov (LOMI) 179, 32-36 (1989), [translated in J. Soviet Math.] [pdf file] (English)   [pdf file] (Russian)

[19]. A.I. Bobenko, A.G. Reyman, M.A. Semenov-Tian-Shansky, The Kowalewski top 99 years later: a Lax pair, generalizations and explicit solutions. Comm. Math. Phys. 122, 321-354 (1989) [pdf file]

[18]. A.I. Bobenko, L.A. Bordag, Periodic multiphase solutions of the Kadomsev-Petviashvili equation. J. Phys. A: Math. Gen. 22, 1259-1274 (1989) [pdf file]

[17]. A.I. Bobenko, V.B Kuznetsov, Lax representation and new formulae for the Goryachev-Chaplygin top J. Phys. A: Math. Gen. 21, 1999-2006 (1988) [pdf file]

[16]. A.I. Bobenko, D.A. Kubensky, Qualitative analysis and calculations of the finite-gap solutions of the KdV equation. An automorphic approach. Teor. Mat. Fiz. 72:3, 352-360 (1987), [pdf file] (Russian)

[15]. A.I. Bobenko, L.A. Bordag, Qualitative analysis of finite-gap solutions of the KdV equation by the automorphic approach. Zap. Nauch. Semin. Leningrad. Otdel. Mat. Inst. Steklov (LOMI) 165, 31-41 (1987), [J.Soviet Math. 50:6, 1951-1959 (1990)] [pdf file] (Russian)

[14]. A.I. Bobenko, Schottky uniformization and finite-gap integration. Dokl. Akad. Nauk SSSR, 295:2, 268-272 (1987), [Soviet Math. Dokl. 36:1, 38-42 (1988)] [pdf file] (English)   [pdf file] (Russian)

[13]. E.D. Belokolos, A.I. Bobenko, V.Z. Enolskii, V.B. Matveev, Algebraic-geometric principles of superposition of finite-zone solutions of integrable non-linear equations. Uspekhi Mat. Nauk 41:2, 3-42 (1986), [Russian Math. Surveys 41:2, 1-49 (1986)] [pdf file] (Russian)

[12]. A.I. Bobenko, Euler equations on algebras e(3) and so(4). Isomorphism of integrable cases. Functional Anal. i Priloz. 20:1, 64-66 (1986), [Functional Anal. Appl. 20, 53-56 (1986)] [pdf file] (English) [pdf file] (Russian)

[11]. M.V. Babich, A.I. Bobenko, V.B. Matveev, Solutions of nonlinear equations integrable in Jacobi theta functions by the method of the inverse problem and symmetries of algebraic curves. Izvestiya Akad. Nauk SSSR, ser. Math., 49:3, 511-529 (1985), [Math. USSR Izvestiya, 26:3, 479-496 (1986)] [pdf file]

[10]. A.I. Bobenko, Real algebro-geometric solutions of the Landau-Lifshitz equation by Prym theta-functions. Functional Anal. i Priloz. 19:1, 6-19 (1985), Functional Anal. Appl. [ 19, 5-17 (1985)] [pdf file]

[9]. Bobenko, A. I. On the finite-gap integration of the Landau - Lifshitz equation. Nonlinear and turbulent processes in physics, Vol. 3 (Kiev, 1983), 1195--1199, Harwood Academic Publ., Chur, 1984. [pdf file] (preprint)

[8]. A.I. Bobenko, On periodic finite-zone solutions of the sine-Gordon equation. Functional Anal. i Priloz. 18:3, 74-75 (1984), [Functional Anal. Appl. 18, 240-242 (1984) [pdf file] (Russian)   [pdf file] (English)

[7]. A.I. Bobenko, Darboux transformation and rational solutions of the rank 2 of the Kadomsev-Petviashvili equation. Vestnik Leningrad Univ. 22, 74-77 (1984) [pdf file] (Russian)

[6]. M.V. Babich, A.I. Bobenko, V.B. Matveev, Reduction of Riemann theta-functions of genus g to theta-functions of lower genus and symmetries of algebraic curves. Dokl. Akad. Nauk SSSR, 272:1, 13-17 (1983), [Soviet Math. Dokl. 28, 304-308 (1983)] [pdf file] (English)   [pdf file] (Russian)

[5]. R.F. Bikbaev, A.I. Bobenko, A.R. Its, Finite-zone integration of the Landau-Lifshitz equation. Dokl. Akad. Nauk SSSR, 272:6, 1293-1298 (1983), [Soviet Math. Dokl. 28, 512-516 (1983)] [pdf file] (English)   [pdf file] (Russian)

[4]. A.I. Bobenko, Landau-Lifshitz equation. Dressing up of the solutions and the elementary excitations. Zap. Nauch. Semin. Leningrad. Otdel. Mat. Inst. Steklov (LOMI) 123, 58-66 (1983), [J.Soviet Math. 28:4, 499-505 (1985)] [pdf file]

[3]. A.I. Bobenko, Finite-range solutions in the language of automorphic functions. The Kadomsev-Petviashvili equation. Zap. Nauch. Semin. Leningrad. Otdel. Mat. Inst. Steklov (LOMI) 129, 5-16 (1983), [J.Soviet Math. 29:2, 1101-1110 (1985)] [pdf file] (Russian)

[2]. A.I. Bobenko, Darboux transformations and canonical transformations. Vestnik Leningrad University Journal, 22:0 1982, 14--21 [pdf file] (Russian)

[1]. A.I. Bobenko, V.B. Matveev, M.A. Salle, Nonlocal equations of Korteweg-de Vries and Kadomsev-Petviashvili. Dokl. Akad. Nauk SSSR 265:6, 1357-1360 (1982), [English transl.: Soviet Phys. Dokl. 27, 610-611 (1982)]