Searching for Painlevé integrable conditions of nonlinear PDEs with constant parameters using symbolic computation

DOI10.1016/j.cpc.2007.11.006zbMath1196.35071OpenAlexW2060803081MaRDI QIDQ710275

Gui-Qiong Xu

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/j.cpc.2007.11.006

zbMATH Keywords

symbolic computationintegrabilitynonlinear PDEsPainlevé analysis\texttt{Maple}P-integrable condition

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Systems of nonlinear higher-order PDEs (35G50)

Related Items (6)

A note on the Painlevé test for nonlinear variable-coefficient PDEs ⋮ Dynamical analysis of rational and semi‐rational solution for a new extended (3 + 1)‐dimensional Kadomtsev‐Petviashvili equation ⋮ New bilinearization, Bäcklund transformation and infinite conservation laws for the KdV6 equation with Bell polynomials ⋮ A modified WTC algorithm for the Painlevé test of nonlinear variable-coefficient PDEs ⋮ Negative-order modified KdV equations: multiple soliton and multiple singular soliton solutions ⋮ Characteristics of integrability, bidirectional solitons and localized solutions for a (\(3+1\))-dimensional generalized breaking soliton equation

Uses Software

• Maple

Cites Work

• Unnamed Item
• Symbolic computation of the Painlevé test for nonlinear partial differential equations using Maple
• Implementation of the Painlevé test for ordinary differential systems
• Exploratory approach to explicit solution of nonlinear evolution equations
• The Painlevé property. One century later
• Painléve analysis and Bäcklund transformations for coupled generalized Schrödinger-Boussinesq system
• An improved algebra method and its applications in nonlinear wave equations
• On the Painlevé integrability, periodic wave solutions and soliton solutions of generalized coupled higher-order nonlinear Schrödinger equations
• The Painlevé property for partial differential equations
• Dark soliton solutions of the coupled Hirota equation in nonlinear fiber

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