MOTION AND B^|^Auml;CKLUND TRANSFORMATIONS OF DISCRETE PLANE CURVES

DOI10.2206/kyushujm.66.303zbMath1269.53008arXiv1008.2808OpenAlexW2962827375MaRDI QIDQ4904989

Kenji Kajiwara, Jun-Ichi Inoguchi, Nozomu Matsuura, Yasuhiro Ohta

Publication date: 14 February 2013

Published in: Kyushu Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.2808

zbMATH Keywords

Bäcklund transformation\(\tau\) functiondiscrete integrable systemsdiscrete curvesdiscrete motiondiscrete potential mKdV equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Curves in Euclidean and related spaces (53A04) Polyhedral manifolds (52B70) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

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