Prolongation structures of a generalized coupled Korteweg-de Vries equation and Miura transformation

DOI10.1016/j.cnsns.2009.10.020zbMath1222.37056OpenAlexW2005030149MaRDI QIDQ720131

Yuan-Hao Cao, Deng-Shan Wang

Publication date: 13 October 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2009.10.020

zbMATH Keywords

Miura transformationLax pairprolongation structureKdv 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) Nonlinear higher-order PDEs (35G20)

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Cites Work

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• Jordan algebras and generalized Korteweg-de Vries equations
• Jordan algebras and integrable systems
• A generalized Hirota-Satsuma coupled Korteweg-de Vries equation and Miura transformations
• Integrable KdV systems: Recursion operators of degree four
• Degenerate Svinolupov KdV systems
• A finite-dimensional integrable system related to a new coupled KdV hierarchy
• Non-autonomous Svinolupov-Jordan KdV systems
• Weak and Strong Interactions between Internal Solitary Waves
• Prolongation structures of nonlinear evolution equations
• Integrable coupled KdV systems
• Introduction to Lie Algebras and Representation Theory

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