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

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

1998-11-16

arxiv.org/abs/solv-int/9811011v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

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

Scientific paper

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

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