New finite-dimensional integrable systems and explicit solutions of Hirota–Satsuma coupled Kortweg–de Vries equation

DOI10.1063/1.532035zbMath0878.58037OpenAlexW2065891052MaRDI QIDQ4345160

Yong-Tang Wu, Xiangguo Geng

Publication date: 17 July 1997

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

Full work available at URL: https://doi.org/10.1063/1.532035

zbMATH Keywords

finite-dimensional integrable Hamiltonian systemsHirota-Satsuma coupled Korteweg-de Vries 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) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (6)

A generalized Hirota-Satsuma coupled Korteweg-de Vries equation and Miura transformations ⋮ Integrable KdV systems: Recursion operators of degree four ⋮ Two types of new integrable decompositions of the Kaup-Newell equation ⋮ Complex form, reduction and Lie-Poisson structure for the nonlinearized spectral problem of the Heisenberg hierarchy ⋮ Some new integrable nonlinear evolution equations and Darboux transformation ⋮ Quasi-periodic solution of the \((2+1)\)-dimensional Boussinesq-Burgers soliton equation

Cites Work

• The Hamiltonian structure and new finite-dimensional integrable system associated with Harry-Dym type equations
• A classical integrable system and the involutive representation of solutions of theKdV equation
• Separability and Lax pairs for the two-dimensional Hamiltonian system with a quartic potential
• A new integrable symplectic map associated with lattice soliton equations
• C Neumann and Bargmann systems associated with the coupled KdV soliton hierarchy

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