English

Smooth soliton solutions of a new integrable equation by Qiao

Exactly Solvable and Integrable Systems 2011-02-10 v1 Mathematical Physics Analysis of PDEs math.MP Pattern Formation and Solitons

Abstract

We find a transformation which relates a new third-order integrable nonlinear evolution equation, introduced recently by Qiao, with the well-known modified Korteweg - de Vries equation. Then we use this transformation to derive smooth soliton solutions of the new equation from the known rational and soliton solutions of the old one.

Keywords

Cite

@article{arxiv.1010.1907,
  title  = {Smooth soliton solutions of a new integrable equation by Qiao},
  author = {Sergei Sakovich},
  journal= {arXiv preprint arXiv:1010.1907},
  year   = {2011}
}

Comments

10 pages, 10 figures