Citation:
E. I. Ganzha, S. P. Tsarev, “An algebraic formula for superposition and the completeness of the Bäcklund transformations of (2+1)-dimensional integrable systems”, Russian Math. Surveys, 51:6 (1996), 1200–1202
\Bibitem{GanTsa96}
\by E.~I.~Ganzha, S.~P.~Tsarev
\paper An algebraic formula for superposition and the completeness of the B\"acklund transformations of $(2+1)$-dimensional integrable systems
\jour Russian Math. Surveys
\yr 1996
\vol 51
\issue 6
\pages 1200--1202
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https://doi.org/10.1070/RM1996v051n06ABEH003007
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Bobenko I A., Tsarev S., “The Curvature Line Parametrization From Circular Nets on a Surface”, J. Math. Phys., 59:9, SI (2018), 091410
Adam Doliwa, “Non-commutative lattice-modified Gel’fand–Dikii systems”, J. Phys. A: Math. Theor, 46:20 (2013), 205202
A. I. Bobenko, Y. B. Suris, “Discrete Koenigs Nets and Discrete Isothermic Surfaces”, Internat Math Res Notices, 2009
I. A. Taimanov, S. P. Tsarev, “Two-dimensional rational solitons and their blowup via the Moutard
transformation”, Theoret. and Math. Phys., 157:2 (2008), 1525–1541
Tsarev, SP, “Classification of three-dimensional integrable scalar discrete equations”, Letters in Mathematical Physics, 84:1 (2008), 31
M. V. Pavlov, “Integrability of the Egorov systems of hydrodynamic type”, Theor Math Phys, 150:2 (2007), 225
A. I. Bobenko, Yu. B. Suris, “On organizing principles of discrete differential geometry. Geometry of spheres”, Russian Math. Surveys, 62:1 (2007), 1–43
Bobenko, AI, “Isothermic surfaces in sphere geometries as Moutard nets”, Proceedings of the Royal Society A-Mathematical Physical and Engineering Sciences, 463:2088 (2007), 3171
Dajczer, M, “The vectorial ribaucour transformation for submanifolds and applications”, Transactions of the American Mathematical Society, 359:10 (2007), 4977
Burstall, FE, “The Ribaucour transformation in Lie sphere geometry”, Differential Geometry and Its Applications, 24:5 (2006), 503
Bobenko, AI, “Discrete and smooth orthogonal systems: C-infinity-approximation”, International Mathematics Research Notices, 2003, no. 45, 2415
Doliwa, A, “Discrete asymptotic nets and W-congruences in Plucker line geometry”, Journal of Geometry and Physics, 39:1 (2001), 9
Adam Doliwa, Integrable Hierarchies and Modern Physical Theories, 2001, 355
E. I. Ganzha, “An analogue of the Moutard transformation for the Goursat equation $$\vartheta _{xy} = 2\sqrt {\lambda \left( {x,y} \right)\vartheta _x \vartheta _y } $$ ”, Theor Math Phys, 122:1 (2000), 39
Ganzha, EI, “On approximation of solutions to some (2+1)-dimensional integrable systems by Backlund transformations”, Siberian Mathematical Journal, 41:3 (2000), 442
Tsarev S.P., “Integrability of equations of hydrodynamic type from the end of the 19th to the end of the 20th century”, Integrability: the Seiberg-Witten and Whitham Equations, 2000, 251–265
Gibbons, J, “Conformal maps and reductions of the Benney equations”, Physics Letters A, 258:4–6 (1999), 263
B. G. Konopelchenko, W. K. Schief, “Three–dimensional integrable lattices in Euclidean spaces: conjugacy and orthogonality”, Proc. R. Soc. Lond. A, 454:1980 (1998), 3075
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