English

Dark parameterization approach to Ito equation

Exactly Solvable and Integrable Systems 2014-07-23 v1

Abstract

The novel coupling Ito systems are obtained with the dark parameterization approach. By solving the coupling equations, the traveling wave solutions are constructed with the mapping and deformation method. Some novel types of exact solutions are constructed with the solutions and symmetries of the usual Ito equation. In the meanwhile, the similarity reduction solutions of the model are also studied with the Lie point symmetry theory.

Cite

@article{arxiv.1407.5849,
  title  = {Dark parameterization approach to Ito equation},
  author = {Bo Ren and Xi-Zhong Liu and Ping Liu},
  journal= {arXiv preprint arXiv:1407.5849},
  year   = {2014}
}
R2 v1 2026-06-22T05:09:51.256Z