Symmetry analysis of an integrable Itô coupled system

DOI10.1016/j.camwa.2010.10.010zbMath1207.35263OpenAlexW1994173346MaRDI QIDQ630702

Hassan A. Zedan

Publication date: 19 March 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.10.010

zbMATH Keywords

symbolic computationtruncated Painlevé expansioncoupled evolution systemWeiss-Kruskal simplification

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) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (9)

The application of the homotopy analysis method and the homotopy perturbation method to the Davey-Stewartson equations and comparison between them and exact solutions ⋮ Lie groups analysis and contact transformations for Itô system ⋮ The application of the homotopy perturbation method and the homotopy analysis method to the generalized Zakharov equations ⋮ Conservation laws for some systems of nonlinear partial differential equations via multiplier approach ⋮ Symmetry reductions, exact solutions and conservation laws of a new coupled KdV system ⋮ A novel class of solutions for the \((2+1)\)-dimensional higher-order Broer-Kaup system ⋮ Application of Lie groups to compressible model of two-phase flows ⋮ A comparative study of numerical methods for solving the generalized Ito system ⋮ Q-symmetry and conditional Q-symmetries for Drinfel'd-Sokolov-Wilson system

Cites Work

• Unnamed Item
• Unnamed Item
• Nonclassical symmetry reductions of the Boussinesq equation.
• Integrable evolution equations on associative algebras
• Integrable discrete systems and numerical integrators
• Painlevé Tests, Singularity Structure and Integrability
• The Painlevé-Kowalevski and Poly-Painlevé Tests for Integrability
• Symmetry-based algorithms to relate partial differential equations: I. Local symmetries
• Do integrable cellular automata have the confinement property?
• LIE, a PC program for Lie analysis of differential equations

This page was built for publication: Symmetry analysis of an integrable Itô coupled system