Solitary wave and other solutions for nonlinear heat equations
Mathematical Physics
2007-07-25 v1 Analysis of PDEs
math.MP
Exactly Solvable and Integrable Systems
Abstract
New exact solutions for the heat equation with a polynomial non-linearity and for the Fisher equation are found. An extended class of non-linear heat equations admitting solitary wave solutions is found. The generalization of the Fisher equation is proposed whose solutions propagate with arbitrary ad hoc fixed velocity.
Keywords
Cite
@article{arxiv.math-ph/0303004,
title = {Solitary wave and other solutions for nonlinear heat equations},
author = {Anatoly G. Nikitin and Tetyana A. Barannyk},
journal= {arXiv preprint arXiv:math-ph/0303004},
year = {2007}
}
Comments
18 pages, LaTeX2e