English

Classification of traveling wave solutions of the modified Zakharov--Kuznetsov equation

Analysis of PDEs 2024-11-22 v1

Abstract

The C\mathcal{C}^{\infty}-structure-based method of integration of distributions of vector fields is used to classify all the traveling wave solutions of the modified Zakharov--Kuznetsov equation. This work unifies and generalizes the particular results obtained in the recent literature by using specific ansatz-based methods.

Keywords

Cite

@article{arxiv.2411.14024,
  title  = {Classification of traveling wave solutions of the modified Zakharov--Kuznetsov equation},
  author = {A. J. Pan-Collantes and C. Muriel and A. Ruiz},
  journal= {arXiv preprint arXiv:2411.14024},
  year   = {2024}
}