A generalized TD hierarchy through the Lax matrix and their explicit solutions

DOI10.1016/j.physleta.2003.11.039zbMath1118.81393OpenAlexW2084966871MaRDI QIDQ2383256

Jinshun Zhang, Xue-Mei Li

Publication date: 8 October 2007

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2003.11.039

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) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Solutions to PDEs in closed form (35C05)

Related Items (3)

Darboux transformation and multi-soliton solutions for some soliton equations ⋮ A new hierarchy of (1 + 1)-dimensional soliton equations and its quasi-periodic solutions ⋮ Darboux transformation and bidirectional soliton solutions of a new (2+1)-dimensional soliton equation

Cites Work

• Unnamed Item
• Nonlinearization of the Lax system for AKNS hierarchy
• The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems. II
• Restricted flows of soliton hierarchies: coupled KdV and Harry Dym case
• How to construct finite-dimensional bi-Hamiltonian systems from soliton equations: Jacobi integrable potentials
• Relation between the Kadometsev–Petviashvili equation and the confocal involutive system

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