Extended rotation and scaling groups for nonlinear evolution equations
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Publication:5917471
DOI10.1016/S0362-546X(02)00278-XzbMath1019.35024MaRDI QIDQ5917471
Chang-Zheng Qu, Pilar G. Estevez
Publication date: 11 March 2003
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Nonlinear first-order PDEs (35F20) Invariance and symmetry properties for PDEs on manifolds (58J70) Solutions to PDEs in closed form (35C05)
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Symmetries and solutions to the thin film equations, Invariant sets and solutions to a class of wave equations, New invariant sets to nonlinear diffusion equations with \(x\)-dependent convection and absorption, Conditional Lie Bäcklund symmetries of Hamilton-Jacobi equations, Invariant sets and solutions to the two-dimensional nonlinear reaction-diffusion equations, Generalized conditional symmetries of evolution equations, Invariant sets and solutions to the generalized thin film equation, Extended rotation and scaling groups for nonlinear diffusion equations, Invariant sets and solutions to higher-dimensional reaction-diffusion equations with source term
Cites Work
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- Nonclassical symmetry reductions of the Boussinesq equation.
- Iterating the nonclassical symmetries method
- Classification and reduction of some systems of quasilinear partial differential equations
- Separation of variables and exact solutions to quasilinear diffusion equations with nonlinear source
- Groups of scalings and invariant sets for higher-order nonlinear evolution equations.
- The construction of special solutions to partial differential equations
- Exact polynomial solutions to some nonlinear diffusion equations
- New explicit solutions of quasilinear heat equations with general first-order sign-invariants
- New similarity reductions of the Boussinesq equation
- Group-Invariant Solutions of Differential Equations
- Similarity reductions of partial differential equations
- 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
- 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
- Nonclassical Symmetries and the Singular Manifold Method: Theory and Six Examples
- Non-classical symmetries and the singular manifold method: the Burgers and the Burgers-Huxley equations
- Symmetry-based algorithms to relate partial differential equations: I. Local symmetries
- New exact solutions of the Boussinesq equation
- Ordered invariant sets for KdV-type nonlinear evolution equations