Differential constraints and exact solutions of nonlinear diffusion equations
Mathematical Physics
2009-11-07 v1 math.MP
Abstract
The differential constraints are applied to obtain explicit solutions of nonlinear diffusion equations. Certain linear determining equations with parameters are used to find such differential constraints. They generalize the determining equations used in the search for classical Lie symmetries.
Cite
@article{arxiv.math-ph/0204036,
title = {Differential constraints and exact solutions of nonlinear diffusion equations},
author = {Oleg V. Kaptsov and Igor V. Verevkin},
journal= {arXiv preprint arXiv:math-ph/0204036},
year = {2009}
}