Complete integrability and the Miura transformation of a coupled KdV equation

DOI10.1016/j.aml.2010.02.002zbMath1189.35294OpenAlexW2067422204MaRDI QIDQ972948

Deng-Shan Wang

Publication date: 21 May 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2010.02.002

zbMATH Keywords

integrabilityMiura transformationLax pairprolongation structure

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)

Related Items (5)

Integrability and equivalence relationships of six integrable coupled Korteweg-de Vries equations ⋮ Alice-Bob systems, P^-T^-Ĉ symmetry invariant and symmetry breaking soliton solutions ⋮ Results of symmetry classification of 2-field third-order evolutionary systems with a constant separant ⋮ The prolongation structure of a coupled KdV equation ⋮ Lie symmetry analysis, conservation laws and solitary wave solutions to a fourth-order nonlinear generalized Boussinesq water wave equation

Cites Work

• Weak and Strong Interactions between Internal Solitary Waves
• Coupled KdV equations derived from two-layer fluids
• Prolongation structures of nonlinear evolution equations
• Prolongation structures of nonlinear evolution equations. II
• On Miura transformations of evolution equations
• Strong Interactions between Solitary Waves Belonging to Different Wave Modes
• Introduction to Lie Algebras and Representation Theory

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