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Zbl 0588.35077
Freeman, N.C.; Nimmo, J.J.C.
Soliton solutions of the Korteweg-de Vries and Kadomtsev-Petviashvili equations: the Wronskian technique. (English)
[J] Proc. R. Soc. Lond., Ser. A 389, 319-329 (1983). ISSN 0080-4630

The soliton solutions of the KdV and KP equations are written in Wronskian form and shown by direct substitution to satisfy the equations and the associated Bäcklund transformation.
MSC 2000:
*35Q99 PDE of mathematical physics and other areas
35A22 Transform methods (PDE)

Keywords: soliton solutions; KdV and KP equations; Wronskian form; Bäcklund transformation

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