Group-invariant solutions of a integrable coupled system

DOI10.1016/J.NONRWA.2007.05.007zbMath1154.35302OpenAlexW1997465911MaRDI QIDQ1003239

Suping Qian, Lixin Tian

Publication date: 27 February 2009

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2007.05.007

zbMATH Keywords

classical symmetrymodified direct methodthe coupled KdV system

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) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (1)

Conservation laws for some systems of nonlinear partial differential equations via multiplier approach

Cites Work

• Nonclassical symmetry reductions of the Boussinesq equation
• Coupled KdV equations derived from two-layer fluids
• New similarity reductions of the Boussinesq equation
• Potential symmetries and direct reduction methods of order two
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