Binary Transformations and (2 + 1)-Dimensional Integrable Systems |
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Authors: | Sydorenko Yu. M. |
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Affiliation: | (1) Lviv University, Lviv |
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Abstract: | A class of nonlinear nonlocal mappings that generalize the classical Darboux transformation is constructed in explicit form. Using as an example the well-known Davey–Stewartson (DS) nonlinear models and the Kadomtsev–Petviashvili matrix equation (MKP), we demonstrate the efficiency of the application of these mappings in the (2 + 1)-dimensional theory of solitons. We obtain explicit solutions of nonlinear evolution equations in the form of a nonlinear superposition of linear waves. |
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