Exact solutions and generalized conditional symmetries to \((1 + 1)\)-dimensional reaction-diffusion equations
From MaRDI portal
Publication:720244
DOI10.1016/j.cnsns.2009.12.014zbMath1222.35103OpenAlexW2043602923MaRDI QIDQ720244
Huabing Jia, Wei Xu, Hongxian Zhou
Publication date: 13 October 2011
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2009.12.014
Reaction-diffusion equations (35K57) Geometric theory, characteristics, transformations in context of PDEs (35A30) Solutions to PDEs in closed form (35C05)
Cites Work
- Unnamed Item
- Nonclassical symmetry reductions of the Boussinesq equation.
- Exact solutions and generalized conditional symmetries to \((n+1)\)-dimensional nonlinear diffusion equations with source term
- The construction of special solutions to partial differential equations
- Explicit and exact solutions to a Kolmogorov-Petrovskii-Piskunov equation
- New explicit solutions of quasilinear heat equations with general first-order sign-invariants
- Initial-value problems for evolutionary partial differential equations and higher-order conditional symmetries
- New similarity reductions of the Boussinesq equation
- Group-Invariant Solutions of Differential Equations
- Analytic solutions of the Nagumo equation
- Quasilinear heat equations with first-order sign-invariants and new explicit solutions
- The method of generalised conditional symmetries and its various implementations
- Nonlinear interaction of traveling waves of nonintegrable equations
- Non-classical reductions of initial-value problems for a class of nonlinear evolution equations
- Conditional Lie-Backlund symmetry and reduction of evolution equations
- Invariant subspaces and new explicit solutions to evolution equations with quadratic nonlinearities
- Non-classical symmetries and the singular manifold method: the Burgers and the Burgers-Huxley equations
- Variable Separation and Derivative-Dependent Functional Separable Solutions to Generalized Nonlinear Wave Equations
- New exact solutions of the Boussinesq equation
