scientific article; zbMATH DE number 510425
From MaRDI portal
Publication:4280896
zbMath0788.35067MaRDI QIDQ4280896
Elizabeth L. Mansfield, Peter A. Clarkson
Publication date: 9 June 1994
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exact solutionsnonlinear heat equationnonlinear reaction-diffusion equationsdirect methodLie methodFitzhugh-Nagumo equationnonclassical symmetry reductionsnonclassical methodreal Landau-Ginzburg equation
Reaction-diffusion equations (35K57) Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30)
Related Items
Nonclassical symmetries as special solutions of heir-equations ⋮ On nonlinear diffusion equations with \(x\)-dependent convection and absorption ⋮ Symmetry reductions and exact solutions of a class of nonlinear heat equations ⋮ Symmetry analysis of differential equations with MATHEMATICA ⋮ Gröbner bases and involutive methods for algebraic and differential equations ⋮ Review of symbolic software for Lie symmetry analysis ⋮ New \(Q\)-conditional symmetries and exact solutions of some reaction-diffusion-convection equations arising in mathematical biology ⋮ Solitary wave and other solutions for nonlinear heat equations ⋮ Extended Jacobi elliptic function expansion solutions of variant Boussinesq equations ⋮ Solitary wave solution of nonlinear multi-dimensional wave equation by bilinear transformation method ⋮ Nonlinear systems of the Burgers-type equations: Lie and \(Q\)-conditional symmetries, ansätze and solutions. ⋮ Near-ordinary periodic waves of a generalized reaction-convection-diffusion equation ⋮ Generalized conditional symmetries of evolution equations ⋮ Conditional symmetries and exact solutions of the diffusive Lotka-Volterra system ⋮ Symmetry classifications and reductions of some classes of \((2+1)\)-nonlinear heat equation ⋮ Separation of variables and exact solutions to nonlinear diffusion equations with \(x\)-dependent convection and absorption ⋮ Classical and potential symmetries for a generalized Fisher equation ⋮ A generalized FitzHugh-Nagumo equation ⋮ Vector shock soliton and the Hirota bilinear method ⋮ A class of self-similar solutions to a singular and degenerate diffusion equation ⋮ Extended rotation and scaling groups for nonlinear evolution equations ⋮ Nonclassical reductions of a \((3+1)\)-cubic nonlinear Schrödinger system ⋮ Extension to the direct methods and applications to the generalized Burgers equation ⋮ Nonclassical symmetry reductions of the Boussinesq equation ⋮ Separation of variables of a generalized porous medium equation with nonlinear source.
Uses Software