Integrable discretizations of the Dym equation

DOI10.1007/s11464-013-0321-yzbMath1303.37022arXiv1403.6196OpenAlexW2017259141MaRDI QIDQ384601

Kenji Kajiwara, Ken-Ichi Maruno, Yasuhiro Ohta, Bao-Feng Feng, Jun-Ichi Inoguchi

Publication date: 28 November 2013

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.6196

zbMATH Keywords

integrable discretization\(N\)-soliton solutionDym equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51) Partial difference equations (39A14)

Related Items (3)

Isogonal deformation of discrete plane curves and discrete Burgers hierarchy ⋮ Solving the Dym initial value problem in reproducing kernel space ⋮ Self-adaptive moving mesh schemes for short pulse type equations and their Lax pairs

Cites Work

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• New Integrable Nonlinear Evolution Equations
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• Derivation and implicit solution of the Harry Dym equation and its connections with the Korteweg-de Vries equation
• An integrable semi-discretization of the Camassa–Holm equation and its determinant solution
• On Reciprocal Bäcklund Transformations of Inverse Scattering Schemes
• The Korteweg–de Vries hierarchy as dynamics of closed curves in the plane
• N-loop solitons and their link with the complex Harry Dym equation
• MOTION AND B^|^Auml;CKLUND TRANSFORMATIONS OF DISCRETE PLANE CURVES

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