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 e-prints
- Pub Date:
- November 1998
- DOI:
- 10.48550/arXiv.solv-int/9811011
- arXiv:
- arXiv:solv-int/9811011
- Bibcode:
- 1998solv.int.11011G
- Keywords:
-
- Exactly Solvable and Integrable Systems;
- Nonlinear Sciences - Exactly Solvable and Integrable Systems;
- 35A20 (Primary) 35P30 (Secondary)
- E-Print:
- LaTeX 16 pages with 6 figures. Journal of Mathematical Physics (to appear)