Integrable coupled KdV systems

DOI10.1063/1.532278zbMath1042.37528arXivsolv-int/9711015OpenAlexW2000072963MaRDI QIDQ4260548

Atalay Karasu, Metin Gürses

Publication date: 16 December 2002

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

Full work available at URL: https://arxiv.org/abs/solv-int/9711015

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)

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Cites Work

• Symplectic structures, their Bäcklund transformations and hereditary symmetries
• Coupled KdV equations with multi-Hamiltonian structures
• Jordan algebras and generalized Korteweg-de Vries equations
• The integrable hierarchy constructed from a pair of KdV-type hierarchies and its associated \(W\) algebra
• Degenerate Svinolupov KdV systems
• The Lie Algebra Structure of Nonlinear Evolution Equations Admitting Infinite Dimensional Abelian Symmetry Groups
• Asymptotic Integrability of Water Waves