English

Modified method of simplest equation for obtaining exact solutions of nonlinear partial differential equations: past and present

Exactly Solvable and Integrable Systems 2019-06-20 v1

Abstract

We present a short review of the evolution of the methodology of the Method of simplest equation for obtaining exact particular solutions of nonlinear partial differential equations (NPDEs) and the recent extension of a version of this methodology called Modified method of simplest equation. This extension makes the methodology capable to lead to solutions of nonlinear partial differential equations that are more complicated than a single solitary wave.

Keywords

Cite

@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}
}

Comments

18 pages, 1 figure. arXiv admin note: substantial text overlap with arXiv:1904.03481