Generalized Volterra lattices: binary Darboux transformations and self-consistent sources

DOI10.1016/j.geomphys.2016.11.026zbMath1362.37134arXiv1606.03744OpenAlexW2441126374MaRDI QIDQ508075

Yong-Cai Geng, Sumit K. Garg

Publication date: 9 February 2017

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.03744

zbMATH Keywords

Darboux transformationself-consistent sourcesbidifferential calculusVolterra latticeBogoyavlensky lattices

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Soliton equations (35Q51) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Geometric theory, characteristics, transformations in context of PDEs (35A30) Soliton solutions (35C08)

Related Items (3)

Self-Consistent Sources Extensions of Modified Differential-Difference KP Equation ⋮ \(M\)-lump solution, semirational solution, and self-consistent source extension of a novel \(( 2 + 1)\)-dimensional KdV equation ⋮ Integrability and asymptotic behaviour of a differential-difference matrix equation

Cites Work

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