English

Five Specific Cases of the Simple Equations Method (SEsM)

Exactly Solvable and Integrable Systems 2025-04-24 v1

Abstract

We discuss the Simple Equations Method (SEsM) for obtaining exact solutions of nonlinear partial differential equations. We show that the Jacobi Elliptic Function Expansion Method, F-Expansion method, Modified Simple Equation method, Trial Function Method, General Projective Riccati Equations Method and the First Integral Method are specific cases of SEsM.

Keywords

Cite

@article{arxiv.2504.16660,
  title  = {Five Specific Cases of the Simple Equations Method (SEsM)},
  author = {Zlatinka I. Dimitrova},
  journal= {arXiv preprint arXiv:2504.16660},
  year   = {2025}
}

Comments

21 pages, 0 figures

R2 v1 2026-06-28T23:08:29.649Z