English

The modified simplest equation method to look for exact solutions of nonlinear partial differential equations

Exactly Solvable and Integrable Systems 2010-11-23 v1

Abstract

The modification of simplest equation method to look for exact solutions of nonlinear partial differential equations is presented. Using this method we obtain exact solutions of generalized Korteweg-de Vries equation with cubic source and exact solutions of third-order Kudryashov-Sinelshchikov equation describing nonlinear waves in liquids with gas bubbles.

Keywords

Cite

@article{arxiv.1011.4606,
  title  = {The modified simplest equation method to look for exact solutions of nonlinear partial differential equations},
  author = {Olga Yu. Efimova},
  journal= {arXiv preprint arXiv:1011.4606},
  year   = {2010}
}

Comments

7 pages

R2 v1 2026-06-21T16:46:43.077Z