Generalized Darboux and Darboux-Levi transformations in 2+1 dimensions by Wolfgang K. Schief

“…It is shown that the Moutard theorem and the dromion solutions for the Davey-Stewartson equation I are contained within this approach. Moreover, the applicability of an extended version of the generalized Darboux-Levi transformation to a Loewner-type system is demonstrated which leads to localized soli tonic solutions of a 2+1-dimensional sine-Gordon system (Konopelchenko-Rogers equations).…”
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