Korteweg-de Vries hierarchy as an asymptotic limit of the Boussinesq system

DOI10.1007/s11232-008-0024-9zbMath1156.35461OpenAlexW2011797779MaRDI QIDQ949193

Svetlana A. Kordyukova

Publication date: 21 October 2008

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-008-0024-9

zbMATH Keywords

small parameternonlinear equationsolitonasymptotic representationmultiscale methodLie-Bäcklund canonical operatorpotentiated Korteweg-de Vries 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) Theoretical approximation in context of PDEs (35A35) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

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Cites Work

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• Multiple-scale perturbation beyond the nonlinear Schrödinger equation. I
• Approximate Symmetries of the Boussinesq Equation