English

Partially integrable nonlinear equations with one higher symmetry

Exactly Solvable and Integrable Systems 2007-05-23 v1

Abstract

In this paper we present a family of second order in time nonlinear partial differential equations, which have only one higher symmetry. These equations are not integrable, but have a solution depending on one arbitrary function.

Keywords

Cite

@article{arxiv.nlin/0601047,
  title  = {Partially integrable nonlinear equations with one higher symmetry},
  author = {Alexander V. Mikhailov and Vladimir S. Novikov and Jing Ping Wang},
  journal= {arXiv preprint arXiv:nlin/0601047},
  year   = {2007}
}
R2 v1 2026-07-22T18:14:54.262Z