Symmetry analysis of an integrable reaction-diffusion equation

DOI10.1016/S0960-0779(99)00200-3zbMath1015.35006OpenAlexW2073484365MaRDI QIDQ1868524

Roberto A. Kraenkel, Murugaian Senthilvelan

Publication date: 28 April 2003

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(99)00200-3

zbMATH Keywords

integrability propertiesPainlevé analysisparticular solutionssimilarity reductionLie symmetry analysistwo component reaction-diffusion system

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Reaction-diffusion equations (35K57) Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30) Second-order parabolic systems (35K40)

Related Items (6)

New solutions for the cubic Schrödinger equation and solitonic solutions ⋮ A study of the symmetry analysis for the Hirota-Satsuma equations ⋮ Group classification of systems of nonlinear reaction-diffusion equations with general diffusion matrix. II: Generalized Turing systems ⋮ On the particular solutions of an integrable equation governing short waves in a long-wave model ⋮ A note on solutions of an equation modelling arterial deformation ⋮ Blow-up the symmetry analysis for the Hirota-Satsuma equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Integrable evolution equations on associative algebras
• Nonclassical symmetry reductions of the Boussinesq equation
• The Painlevé property for partial differential equations
• Integrable dissipative structures in the gauge theory of gravity
• A symmetry test for quasilinear coupled systems
• On a unique nonlinear oscillator
• Symmetries and differential equations
• LIE, a PC program for Lie analysis of differential equations

This page was built for publication: Symmetry analysis of an integrable reaction-diffusion equation