Separation of variables and exact solutions to nonlinear diffusion equations with \(x\)-dependent convection and absorption
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Publication:2465858
DOI10.1016/j.jmaa.2007.07.063zbMath1132.35023OpenAlexW1996092568MaRDI QIDQ2465858
Huabing Jia, Xiaoshan Zhao, Wei Xu, Zhanguo Li
Publication date: 10 January 2008
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.07.063
Related Items (4)
Functional separable solutions of nonlinear convection-diffusion equations with variable coefficients ⋮ Construction of exact solutions to nonlinear PDEs with delay using solutions of simpler PDEs without delay ⋮ Functional separable solutions of nonlinear reaction-diffusion equations with variable coefficients ⋮ Symmetry reductions and new functional separable solutions of nonlinear Klein–Gordon and telegraph type equations
Cites Work
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- A quasilinar heat equation with a source: Peaking, localization, symmetry exact solutions, asymptotics, structures
- Exact solutions and generalized conditional symmetries to \((n+1)\)-dimensional nonlinear diffusion equations with source term
- Painlevé expansions for nonintegrable evolution equations
- Classification and reduction of some systems of quasilinear partial differential equations
- Separation of variables and exact solutions to quasilinear diffusion equations with nonlinear source
- Separation of variables of a generalized porous medium equation with nonlinear source.
- On nonlinear diffusion equations with \(x\)-dependent convection and absorption
- Nonlinear partial differential equations in engineering. Vol. II
- New explicit solutions of quasilinear heat equations with general first-order sign-invariants
- Painleve analysis of the generalized Burgers-Huxley equation
- New similarity reductions of the Boussinesq equation
- Similarity reductions of partial differential equations
- Classical point symmetries of a porous medium equation
- Symmetries, ansätze and exact solutions of nonlinear second-order evolution equations with convection terms
- Reductions and exact solutions of some nonlinear partial differential equations under four types of generalized conditional symmetries
- Exact solutions to nonlinear diffusion equations obtained by a generalized conditional symmetry method
- Nonclassical symmetry reductions of the linear diffusion equation with a nonlinear source
- Quasilinear heat equations with first-order sign-invariants and new explicit solutions
- Group Classification and Generalized Conditional Symmetry Reduction of the Nonlinear Diffusion–Convection Equation with a Nonlinear Source
- New variable separation approach: application to nonlinear diffusion equations
- The method of generalised conditional symmetries and its various implementations
- Nonlinear interaction of traveling waves of nonintegrable 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
- Conditional Symmetry Groups of Nonlinear Diffusion Equations with x -Dependent Convection and Absorption
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