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

Pilar Garcia Estevez
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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

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Pilar Garcia Estevez. 1998-11-16. Darboux Transformations and solutions for an equation in 2+1 dimensions. https://arxiv.org/abs/solv-int/9811011

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