Lax pair, Darboux Transformations and solitonic solutions for a (2+1) dimensional NLSE

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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LaTeX, 9 figures

Scientific paper

In this paper the Singular Manifold Method has allowed us to obtain the Lax
pair, Darboux transformations and tau functions for a non-linear Schr\"odiger
equation in 2+1 dimensions. In this way we can iteratively build different kind
of solutions with solitonic behavior.

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