Functional Separable Solutions to Nonlinear Diffusion Equations by Group Foliation Method

DOI10.1088/0253-6102/47/2/001zbMath1355.35086OpenAlexW2092666992MaRDI QIDQ2960008

Hui Yin, Jiayi Hu, Chang-Zheng Qu

Publication date: 7 February 2017

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0253-6102/47/2/001

zbMATH Keywords

nonlinear diffusion equationsymmetry groupgroup foliation methodfunctional separation of variable

Mathematics Subject Classification ID

Foliations (differential geometric aspects) (53C12) Solutions to PDEs in closed form (35C05) Second-order parabolic equations (35K10)

Cites Work

• Separation of variables for the 1-dimensional nonlinear diffusion equation
• 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.
• Exact solutions of semilinear radial wave equations in \(n\) dimensions
• Evolution equations, invariant surface conditions and functional separation of variables
• On the coherent structures of the Nizhnik-Novikov-Veselov equation
• Separation of Variables and Exact Solutions of Generalized Nonlinear Klein-Gordon Equations
• Differential-Stäckel matrices
• Generalized Stäckel matrices
• A family of nonlinear Klein–Gordon equations and their solutions
• Separation of variables in (1+2)-dimensional Schrödinger equations
• Invariant subspaces and new explicit solutions to evolution equations with quadratic nonlinearities
• On the new approach to variable separation in the time-dependent Schrödinger equation with two space dimensions
• Symmetry groups and separation of variables of a class of nonlinear diffusion-convection equations
• Symmetries and differential equations

This page was built for publication: Functional Separable Solutions to Nonlinear Diffusion Equations by Group Foliation Method