Singularity methods for meromorphic solutions of differential equations
Exactly Solvable and Integrable Systems
2018-06-11 v1
Abstract
This chapter is mainly a tutorial introduction to methods recently developed in order to find all (as opposed to some) meromorphic particular solutions of given nonintegrable, autonomous, algebraic ordinary differential equations of any order. The examples are taken from physics and include Kuramoto-Sivashinsky and complex Ginzburg-Landau equations.
Cite
@article{arxiv.1806.03177,
title = {Singularity methods for meromorphic solutions of differential equations},
author = {Robert Conte and Tuen Wai Ng and Chengfa Wu},
journal= {arXiv preprint arXiv:1806.03177},
year = {2018}
}
Comments
29 pages, 1 figure. Chapter in book "Nonlinear systems and their remarkable mathematical structures", ed. N. Euler (CRC, Boca Raton, 2018), to appear