获取非线性偏微分方程精确解的最简方程法的改进及其过去与现状
可精确求解与可积系统
2019-06-20 v1
摘要
我们简要回顾了用于获取非线性偏微分方程(NPDEs)精确特解的最简方程法的方法学演变,以及该方法学的一个版本——改进最简方程法(Modified method of simplest equation)近期的扩展。这一扩展使该方法学能够导出比单个孤立波更为复杂的非线性偏微分方程的解。
引用
@article{arxiv.1906.08053,
title = {Modified method of simplest equation for obtaining exact solutions of nonlinear partial differential equations: past and present},
author = {Nikolay K. Vitanov},
journal= {arXiv preprint arXiv:1906.08053},
year = {2019}
}
备注
18 pages, 1 figure. arXiv admin note: substantial text overlap with arXiv:1904.03481