New invariant sets to nonlinear diffusion equations with \(x\)-dependent convection and absorption
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Publication:847071
DOI10.1016/J.JMAA.2009.11.012zbMath1190.35123OpenAlexW2012431857MaRDI QIDQ847071
Publication date: 12 February 2010
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.2009.11.012
Solutions to PDEs in closed form (35C05) Symmetries, invariants, etc. in context of PDEs (35B06) Quasilinear parabolic equations (35K59)
Cites Work
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- Some invariant solutions for a microwave heating model
- Symmetry reductions and exact solutions of a class of nonlinear heat equations
- Groups of scalings and invariant sets for higher-order nonlinear evolution equations.
- Separation of variables of a generalized porous medium equation with nonlinear source.
- Classical symmetry reductions of nonlinear diffusion-convection equations
- The construction of special solutions to partial differential equations
- Nonlinear partial differential equations in engineering. Vol. II
- New explicit solutions of quasilinear heat equations with general first-order sign-invariants
- Nonclassical symmetry solutions for reaction-diffusion equations with explicit spatial dependence
- New results on group classification of nonlinear diffusion–convection equations
- New similarity reductions of the Boussinesq equation
- Group-Invariant Solutions of Differential Equations
- Similarity reductions of partial differential equations
- Classical point symmetries of a porous medium equation
- Nonclassical symmetry reductions of the linear diffusion equation with a nonlinear source
- Quasilinear heat equations with first-order sign-invariants and new explicit solutions
- Nonlinear interaction of traveling waves of nonintegrable equations
- Systematic construction of hidden nonlocal symmetries for the inhomogeneous nonlinear diffusion equation
- Maximal sign-invariants of quasilinear parabolic equations with gradient diffusivity
- Conditional Lie-Backlund symmetry and reduction of evolution equations
- Invariant subspaces and new explicit solutions to evolution equations with quadratic nonlinearities
- Nonclassical Symmetries and the Singular Manifold Method: Theory and Six Examples
- Symmetry-based algorithms to relate partial differential equations: I. Local symmetries
- New exact solutions of the Boussinesq equation
- Extended rotation and scaling groups for nonlinear evolution equations
- Ordered invariant sets for KdV-type nonlinear evolution equations
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