English

Solitary wave solutions of a generalization of the mKdV equation

Exactly Solvable and Integrable Systems 2023-02-23 v1 Analysis of PDEs

Abstract

We consider a generalization of the mKdV equation, which contains dissipation terms similar to those contained in both the Benjamin-Bona-Mahoney equation and the famous Camassa-Holm and Degasperis-Procesi equations. Our objective is the construction of classical (solitons) and non-classical (peakons and cuspons) solitary wave solutions of this equation.

Keywords

Cite

@article{arxiv.2302.11155,
  title  = {Solitary wave solutions of a generalization of the mKdV equation},
  author = {J. Noyola Rodriguez and G. Omel'yanov},
  journal= {arXiv preprint arXiv:2302.11155},
  year   = {2023}
}

Comments

Preparation for Journal submission