Separation of variables of a generalized porous medium equation with nonlinear source.

From MaRDI portal
Publication:1856896

DOI10.1016/S0022-247X(02)00214-7zbMath1072.35542MaRDI QIDQ1856896

Shunli Zhang, Pilar G. Estevez, Chang-Zheng Qu

Publication date: 11 February 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)




Related Items

On nonlinear diffusion equations with \(x\)-dependent convection and absorption, New invariant sets to nonlinear diffusion equations with \(x\)-dependent convection and absorption, Functionally separable solutions to nonlinear wave equations by group foliation method, An elementary symmetry-based derivation of the heat kernel on Heisenberg group, Lie symmetry analysis, conservation laws and separation variable type solutions of the time-fractional porous medium equation, A symmetry analysis of some classes of evolutionary nonlinear \((2+1)\)-diffusion equations with variable diffusivity, Functional Separable Solutions to Nonlinear Diffusion Equations by Group Foliation Method, Functional separable solutions of nonlinear convection-diffusion equations with variable coefficients, Invariant subspaces and conditional Lie-Bäcklund symmetries of inhomogeneous nonlinear diffusion equations, Nonclassical symmetries of evolutionary partial differential equations and compatibility., Conditional Lie-Bäcklund symmetries and sign-invariants to second-order evolution equations, Construction of exact solutions to nonlinear PDEs with delay using solutions of simpler PDEs without delay, Generalized traveling-wave solutions of nonlinear reaction-diffusion equations with delay and variable coefficients, Conditional Lie Bäcklund symmetries and solutions to (n+1)-dimensional nonlinear diffusion equations, Lie group analysis and dynamical behavior for classical Boussinesq-Burgers system, Extended rotation and scaling groups for nonlinear diffusion equations, Symmetry classifications and reductions of some classes of \((2+1)\)-nonlinear heat equation, Separation of variables and exact solutions to nonlinear diffusion equations with \(x\)-dependent convection and absorption, Symmetry classification for the nonlinear heat conductivity equation, A class of self-similar solutions to a singular and degenerate diffusion equation, Functional separable solutions of nonlinear reaction-diffusion equations with variable coefficients, Reductions and exact solutions of Lotka-Volterra and more complex reaction-diffusion systems with delays, Functional separable solutions of two classes of nonlinear mathematical physics equations, Separation of variables in PDEs using nonlinear transformations: applications to reaction-diffusion type equations, Wave equation on spherically symmetric Lorentzian metrics



Cites Work