English

On classification of higher-order integrable nonlinear partial differential equations

Exactly Solvable and Integrable Systems 2016-11-29 v1

Abstract

We investigate existence of solitonic solutions for higher-order partial differential equations with polynomial nonlinearities. Using the Hirota method we obtain classification for higher-order integrable systems of equations.

Keywords

Cite

@article{arxiv.1611.09292,
  title  = {On classification of higher-order integrable nonlinear partial differential equations},
  author = {I. A. Il'in and D. S. Noshchenko and A. S. Perezhogin},
  journal= {arXiv preprint arXiv:1611.09292},
  year   = {2016}
}
R2 v1 2026-06-22T17:06:58.611Z