Meromorphic solutions of nonlinear ordinary differential equations
Exactly Solvable and Integrable Systems
2012-01-04 v1
Abstract
Exact solutions of some popular nonlinear ordinary differential equations are analyzed taking their Laurent series into account. Using the Laurent series for solutions of nonlinear ordinary differential equations we discuss the nature of many methods for finding exact solutions. We show that most of these methods are conceptually identical to one another and they allow us to have only the same solutions of nonlinear ordinary differential equations.
Keywords
Cite
@article{arxiv.1201.0126,
title = {Meromorphic solutions of nonlinear ordinary differential equations},
author = {Nikolay A. Kudryashov},
journal= {arXiv preprint arXiv:1201.0126},
year = {2012}
}