English

The symmetric (2+1)-dimensional Lotka-Volterra equation with self-consistent sources

Exactly Solvable and Integrable Systems 2024-04-25 v2

Abstract

The symmetric (2+1)-dimensional Lotka-Volterra equation with self-consistent sources is constructed and solved by employing the source generation procedure, whose solutions are expressed in terms of pfaffians. As special cases of the pfaffian solutions, different types of explicit solutions are obtained, including dromions, soliton solutions and breather solutions.

Keywords

Cite

@article{arxiv.2404.14969,
  title  = {The symmetric (2+1)-dimensional Lotka-Volterra equation with self-consistent sources},
  author = {Mengyuan Cui and Chunxia Li and Yuqin Yao},
  journal= {arXiv preprint arXiv:2404.14969},
  year   = {2024}
}