Separation of variables in PDEs using nonlinear transformations: Applications to reaction–diffusion type equations

Author:

Polyanin Andrei D.ORCID,Zhurov Alexei I.ORCID

Funder

Ministry of Education and Science of the Russian Federation

Russian Foundation for Basic Research

Publisher

Elsevier BV

Subject

Applied Mathematics

Reference26 articles.

1. A family of nonlinear Klein–Gordon equations and their solutions;Grundland;J. Math. Phys.,1992

2. Separation of variables in the non-linear wave equation;Zhdanov;J. Phys. A,1994

3. Separation of variables for the 1-dimensional non-linear diffusion equation;Doyle;Int. J. Non-Linear Mech.,1998

4. Separation of variables and exact solutions to quasilinear diffusion equations with nonlinear source;Qu;Phys. D: Nonlinear Phenom.,2000

5. Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics;Galaktionov,2007

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