Function expansion methods for solving autonomous nonlinear partial differential equations

Details Function expansion methods for solving autonomous nonlinear partial differential equations Function expansion methods for solving autonomous nonlinear partial differential equations

2011-10-02

arxiv.org/abs/1110.0238v1

Physics

Mathematical Physics

Scientific paper

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.

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