Dromion solutions of noncommutative Davey-Stewartson equations

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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23 pages, 6 figures

Scientific paper

We consider a noncommutative version of the Davey-Stewartson equations and
derive two families of quasideterminant solution via Darboux and binary Darboux
transformations. These solutions can be verified by direct substitution. We
then calculate the dromion solutions of the equations and obtain computer plots
in a noncommutative setting.

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