English

Application of Binary Bell polynomial approach to a (2+1) dimensional nonlinear evolution equation

Analysis of PDEs 2014-09-24 v2 Exactly Solvable and Integrable Systems

Abstract

In this paper, we apply the binary Bell polynomial approach to a (2+1) dimensional nonlinear evolution equation. Namely, this study is an integrability work. Bilinear formalism, bilinear Backlund transformation, Lax pair of referred equation are obtained in the light of this work. Moreover, infinite conservation laws are also presented. This approach can also be applied to other nonlinear partial differential equations.

Keywords

Cite

@article{arxiv.1407.0804,
  title  = {Application of Binary Bell polynomial approach to a (2+1) dimensional nonlinear evolution equation},
  author = {Ömer Ünsal and Filiz Taşcan and Mehmet Naci Özer},
  journal= {arXiv preprint arXiv:1407.0804},
  year   = {2014}
}

Comments

The paper has been withdrawn due to the crucial error in soliton solutions

R2 v1 2026-06-22T04:54:06.490Z