Generalized Boussinesq equation and KdV equation --- Painlevé properties, Bäcklund transformations and Lax pairs

zbMath0738.35088MaRDI QIDQ1180004

Sen-yue Lou

Publication date: 27 June 1992

Published in: Science in China. Series A (Search for Journal in Brave)

zbMATH Keywords

Boussinesq equationKdV equationBäcklund transformationsLax pairsKadomtsev-Petviashvili equationPainlevé propertiessingularity analysis method

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (3)

A simple method to construct soliton-like solution of the general KdV equation with external force ⋮ Nonclassical symmetry reductions of the Boussinesq equation ⋮ Nonclassical symmetry reductions of nonlinear partial differential equations

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