English

A new Painleve-integrable equation possessing KdV-type solitons

Exactly Solvable and Integrable Systems 2019-11-26 v1 Mathematical Physics math.MP Pattern Formation and Solitons

Abstract

A new three-dimensional second-order nonlinear wave equation is introduced which passes the Painleve test for integrability and possesses KdV-type multisoliton solutions. Lax integrability of this equation remains unknown.

Keywords

Cite

@article{arxiv.1907.01324,
  title  = {A new Painleve-integrable equation possessing KdV-type solitons},
  author = {Sergei Sakovich},
  journal= {arXiv preprint arXiv:1907.01324},
  year   = {2019}
}

Comments

7 pages, 1 figure