An algorithmic method in Painlevé analysis of PDE

DOI10.1016/S0010-4655(03)00343-6zbMath1196.37111OpenAlexW2057246235MaRDI QIDQ709412

Fuding Xie, Yong Chen

Publication date: 18 October 2010

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0010-4655(03)00343-6

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)

Generalized method and new exact wave solutions for \((2 + 1)\)-dimensional Broer-Kaup-Kupershmidt system ⋮ Extended Jacobi Elliptic Function Rational Expansion Method and Its Application to (2+1)-Dimensional Stochastic Dispersive Long Wave System ⋮ Rational and semi‐rational solutions for a (3 + 1)‐dimensional generalized KP–Boussinesq equation in shallow water wave ⋮ Dynamical analysis of rational and semi‐rational solution for a new extended (3 + 1)‐dimensional Kadomtsev‐Petviashvili equation ⋮ PDEPtest: a package for the Painlevé test of nonlinear partial differential equations

Cites Work

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• Solitary wave solutions for variant Boussinesq equations
• Truncated Painlevé expansion and a wide-ranging type of generalized variable-coefficient Kadomtsev-Petviashvili equations
• The differential ideal \([P : M^ \infty\).]
• Associative differential operations
• The sine-Gordon equations: Complete and partial integrability
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• The Painlevé property and Bäcklund transformations for the sequence of Boussinesq equations
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
• A new truncation in Painleve analysis
• The singular manifold method revisited

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