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

arXiv eprints
 Pub Date:
 November 1998
 DOI:
 10.48550/arXiv.solvint/9811011
 arXiv:
 arXiv:solvint/9811011
 Bibcode:
 1998solv.int.11011G
 Keywords:

 Exactly Solvable and Integrable Systems;
 Nonlinear Sciences  Exactly Solvable and Integrable Systems;
 35A20 (Primary) 35P30 (Secondary)
 EPrint:
 LaTeX 16 pages with 6 figures. Journal of Mathematical Physics (to appear)