English

Darboux Transformations and solutions for an equation in 2+1 dimensions

solv-int 2007-05-23 v1 Exactly Solvable and Integrable Systems

Abstract

Painleve analysis and the singular manifold method are the tools used in this paper to perform a complete study of an equation in 2+1 dimensions. This procedure has allowed us to obtain the Lax pair, Darboux transformation and tau functions in such a way that a plethora of different solutions with solitonic behavior can be constructed iteratively

Keywords

Cite

@article{arxiv.solv-int/9811011,
  title  = {Darboux Transformations and solutions for an equation in 2+1 dimensions},
  author = {Pilar Garcia Estevez},
  journal= {arXiv preprint arXiv:solv-int/9811011},
  year   = {2007}
}

Comments

LaTeX 16 pages with 6 figures. Journal of Mathematical Physics (to appear)

R2 v1 2026-07-22T20:08:52.912Z