SIMILARITY REDUCTIONS FOR A GENERALIZED VARIABLE-COEFFICIENT KADOMTSEV–PETVIASHVILI EQUATION WITH SYMBOLIC COMPUTATION

DOI10.1142/S0129183199000899zbMath0945.37021MaRDI QIDQ4488243

Bo Tian

Publication date: 5 July 2000

Published in: International Journal of Modern Physics C (Search for Journal in Brave)

zbMATH Keywords

symbolic computationsimilarity reductionswater wavesgeneralized Kadomtsev-Petviashvili equationPainlevé conjecture

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) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Software, source code, etc. for problems pertaining to dynamical systems and ergodic theory (37-04)

Related Items (2)

Soliton-like structures and the connection between the Bq and KP equations ⋮ SYMBOLIC COMPUTATION AND POSSIBLY OBSERVABLE EFFECTS FOR THE SOLITON-LIKE LIQUID WAVE PROPAGATION IN THE PRESENCE OF SURFACE TENSION

Cites Work

• Evolution of solitary waves in multicomponent plasmas
• New similarity reductions of the Boussinesq equation
• Water waves and Korteweg–de Vries equations

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