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The exact solutions to the complex KdV equation. (English) Zbl 1209.35123
Summary: Wronskian solutions for the complex KdV equation are obtained by Hirota’s bilinear method. Moreover, starting from the bilinear Bäcklund transformation, multi-soliton solutions are presented for the same equation. At the same time, it is also shown that these two kinds of solutions are equivalent.

MSC:
35Q53 KdV equations (Korteweg-de Vries equations)
35A30 Geometric theory, characteristics, transformations in context of PDEs
35Q51 Soliton equations
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