Hierarchies of Korteweg–de Vries type equations

DOI10.1063/1.531158zbMath0828.35120OpenAlexW2028167799MaRDI QIDQ4837389

Andrei K. Svinin

Publication date: 3 July 1995

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

Full work available at URL: https://doi.org/10.1063/1.531158

zbMATH Keywords

eigenvalue problemreductionsbi-Hamiltonian systems

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)

Cites Work

• New hierarchies of nonlinear completely integrable systems related to a change of variables for evolution parameters
• On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
• Symmetries and Integrability
• A simple model of the integrable Hamiltonian equation

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