Coupled Korteveg–de Vries hierarchy with sources and its Newton decomposition

DOI10.1063/1.532163zbMath0890.35133OpenAlexW1975419317MaRDI QIDQ4378319

Krzysztof Marciniak

Publication date: 4 March 1998

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

Full work available at URL: https://doi.org/10.1063/1.532163

zbMATH Keywords

Lagrangian formulationLax representationNewton equationsSchrödinger spectral problem

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

Construction of coupled Harry Dym hierarchy and its solutions from Stäckel systems, Invertible Coupled KdV and Coupled Harry Dym Hierarchies

Cites Work

• Factorisation of energy dependent Schrödinger operators: Miura maps and modified systems
• The Hénon-Heiles system revisited
• Schrödinger spectral problems with energy–dependent potentials as sources of nonlinear Hamiltonian evolution equations
• Restricted flows of soliton hierarchies: coupled KdV and Harry Dym case