Conditional Lie-Bäcklund symmetries and sign-invariants to second-order evolution equations
From MaRDI portal
Publication:450318
DOI10.1016/J.CNSNS.2012.01.011zbMath1250.35019OpenAlexW2060489298MaRDI QIDQ450318
Rong Yan, Li-na Ji, Xiang-Wei Zhang
Publication date: 13 September 2012
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.2012.01.011
Initial value problems for nonlinear higher-order PDEs (35G25) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Symmetries, invariants, etc. in context of PDEs (35B06)
Cites Work
- Unnamed Item
- 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
- On the derivation of first integrals for similarity solutions
- On some diffusive waves in nonlinear heat conduction
- Symmetry reductions and exact solutions of a class of nonlinear heat equations
- Separation of variables of a generalized porous medium equation with nonlinear source.
- On nonlinear diffusion equations with \(x\)-dependent convection and absorption
- New explicit solutions of quasilinear heat equations with general first-order sign-invariants
- Conditional Lie-Backlund symmetries and invariant subspaces to non-linear diffusion equations
- Nonlinear diffusion equation, Tsallis formalism and exact solutions
- Conditional Lie Bäcklund symmetries and solutions to (n+1)-dimensional nonlinear diffusion equations
- Exact results for the nonlinear diffusion equations delta u/ delta t= delta / delta x(u-4/3delta u/ delta x) and delta u/ delta t- delta / delta x(u-2/3delta u/ delta x)
- Classical point symmetries of a porous medium equation
- Nonclassical symmetries of a porous medium equation with absorption
- Symmetries, ansätze and exact solutions of nonlinear second-order evolution equations with convection terms
- New non-Lie ansätze and exact solutions of nonlinear reaction-diffusion-convection equations
- Exact solutions to nonlinear diffusion equations obtained by a generalized conditional symmetry method
- Nonclassical symmetry reductions of a porous medium equation with convection
- 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
- Potential symmetries of a porous medium equation
- On the Porous Medium Equation with Modified Fourier's Law: Symmetries and Integrability
- Nonlinear interaction of traveling waves of nonintegrable equations
- Maximal sign-invariants of quasilinear parabolic equations with gradient diffusivity
- Conditional Lie-Backlund symmetry and reduction of evolution equations
- Nonclassical Symmetries for Nonlinear Diffusion and Absorption
- 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
- Symmetry groups and separation of variables of a class of nonlinear diffusion-convection equations
- Solutions and symmetry reductions of the n-dimensional non-linear convection-diffusion equations
- Symmetries, ansätze and exact solutions of nonlinear second-order evolution equations with convection terms, II
- Some non-local transformations between nonlinear diffusion equations
- New conditional symmetries and exact solutions of nonlinear reaction–diffusion–convection equations
This page was built for publication: Conditional Lie-Bäcklund symmetries and sign-invariants to second-order evolution equations