Function expansion methods for solving autonomous nonlinear partial differential equations
Mathematical Physics
2011-10-04 v1 math.MP
Abstract
In this paper, we propose some algorithms for analytical solution construction to nonlinear polynomial partial differential equations with constant function coefficients. These schemes are based on one-(single), two- (double) or three- (triple) function expansion methods. Most of the existing expansion function methods are well recovered from the mentioned schemes. The effectiveness of these methods has been tested on some nonlinear partial differential equations (NLPDEs) describing important phenomena in physics.
Cite
@article{arxiv.1110.0238,
title = {Function expansion methods for solving autonomous nonlinear partial differential equations},
author = {Mahouton Norbert Hounkonnou and Pascal Alain Dkengne Sielenou},
journal= {arXiv preprint arXiv:1110.0238},
year = {2011}
}