A family of new integrable couplings with two arbitrary functions of TC hierarchy

DOI10.1063/1.1501165zbMath1060.37063OpenAlexW2024627989MaRDI QIDQ4832776

Zhenya Yan, Hong-Qing Zhang

Publication date: 14 December 2004

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1501165

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 infinite-dimensional Lie algebras and other algebraic structures (37K30) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (1)

The \((2+1)\)-dimensional integrable coupling of KdV equation: auto-Bäcklund transformation and new non-traveling wave profiles

Cites Work

• Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman
• Integrable couplings of soliton equations by perturbations. I: A general theory and application to the KdV hierarchy
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