ON THE INTEGRABILITY, BÄCKLUND TRANSFORMATION AND SYMMETRY ASPECTS OF A GENERALIZED FISHER TYPE NONLINEAR REACTION–DIFFUSION EQUATION

DOI10.1142/S0218127404010205zbMath1061.35037arXivnlin/0405044OpenAlexW2020260748MaRDI QIDQ4655644

P. S. Bindu, Muthusamy Lakshmanan, Murugaian Senthilvelan

Publication date: 8 March 2005

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0405044

zbMATH Keywords

linearizationLie symmetriesgeneralized conditional symmetryPainlevé singularity structure analysis

Mathematics Subject Classification ID

Related Items (1)

The Lie group and integrability of the Fisher type travelling wave equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Explicit solutions of Fisher's equation for a special wave speed
• Symmetry reductions and exact solutions of a class of nonlinear heat equations
• Nonclassical symmetries for a family of Cahn-Hilliard equations
• Separation of variables and exact solutions to quasilinear diffusion equations with nonlinear source
• Nonclassical reductions of a \((3+1)\)-cubic nonlinear Schrödinger system
• Non-spiral autowave structures in unrestricted excitable media
• Singularity structure, symmetries and integrability of generalized Fisher-type nonlinear diffusion equation
• Non-classical symmetry reduction: example of the Boussinesq equation
• The Painlevé property for partial differential equations
• On the exactly solvable equation$S_t = [ ( \beta S + \gamma )^{ - 2} S_x _x + \alpha ( \beta S + \gamma )^{ - 2} S_x $ Occurring in Two-Phase Flow in Porous Media]
• Nonclassical symmetry solutions and the methods of Bluman–Cole and Clarkson–Kruskal
• Group Classification and Generalized Conditional Symmetry Reduction of the Nonlinear Diffusion–Convection Equation with a Nonlinear Source
• Nonlinear interaction of traveling waves of nonintegrable equations
• Non-classical reductions of initial-value problems for a class of nonlinear evolution equations
• On a unique nonlinear oscillator
• Symmetry groups and separation of variables of a class of nonlinear diffusion-convection equations
• Travelling waves and static structures in a two-dimensional exactly solvable reaction-diffusion system
• A Front Dynamics Approach to Curvature-Dependent Flow
• LIE, a PC program for Lie analysis of differential equations
• New symmetries for a model of fast diffusion

This page was built for publication: ON THE INTEGRABILITY, BÄCKLUND TRANSFORMATION AND SYMMETRY ASPECTS OF A GENERALIZED FISHER TYPE NONLINEAR REACTION–DIFFUSION EQUATION