PDEPtest: a package for the Painlevé test of nonlinear partial differential equations

DOI10.1016/j.amc.2004.10.055zbMath1082.65591OpenAlexW2001105078MaRDI QIDQ2571982

Zhi-Bin Li, Gui-Qiong Xu

Publication date: 14 November 2005

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2004.10.055

zbMATH Keywords

Painlevé testSymbolic computationNonlinear partial differential equationsPainlevé integrabilityKruskal's simplificationThe WTC method

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Simulation of dynamical systems (37M05) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)

Related Items (5)

Dynamical analysis of rational and semi‐rational solution for a new extended (3 + 1)‐dimensional Kadomtsev‐Petviashvili equation ⋮ A modified WTC algorithm for the Painlevé test of nonlinear variable-coefficient PDEs ⋮ PDEPtest ⋮ 2 + 1 KdV(N) equations ⋮ Symbolic Software for the Painlevé Test of Nonlinear Ordinary and Partial Differential Equations

Uses Software

• Maple
• WKPtest

Cites Work

• Unnamed Item
• An algorithmic method in Painlevé analysis of PDE
• Symbolic computation of the Painlevé test for nonlinear partial differential equations using Maple
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• The Painlevé property. One century later
• Solitons and symmetries
• Soliton solutions and symmetries of the \(2+1\) dimensional Kaup-Kupershmidt equation
• Classification of certain integrable coupled potential KdV and modified KdV-type equations
• Integrability of a Generalized Ito System: The Painlevé Test
• The Painlevé property for partial differential equations
• Algebraic-geometrical solutions of some multidimensional nonlinear evolution equations
• Unified approach to Miura, Bäcklund and Darboux Transformations for Nonlinear Partial Differential Equations
• (2+1)-dimensional (M+N)-component AKNS system: Painlevé integrability, infinitely many symmetries, similarity reductions and exact solutions
• New explicit travelling wave solutions for two new integrable coupled nonlinear evolution equations
• The Jacobi elliptic-function method for finding periodic-wave solutions to nonlinear evolution equations

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