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

P. G. Estevez·G. A. Hernáez
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Abstract

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

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P. G. Estevez, G. A. Hernáez. 1999-10-14. Lax pair, Darboux Transformations and solitonic solutions for a (2+1) dimensional NLSE. https://arxiv.org/abs/solv-int/9910005

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