Two-Dimensional Multisoliton Solutions: Periodic Soliton Solutions to the Kadomtsev-Petviashvili Equation with Positive Dispersion

Masayoshi Tajiri; Youichi Murakami

doi:10.1143/JPSJ.58.3029

Journal of the Physical Society of Japan

Online ISSN : 1347-4073
Print ISSN : 0031-9015
ISSN-L : 0031-9015

Two-Dimensional Multisoliton Solutions: Periodic Soliton Solutions to the Kadomtsev-Petviashvili Equation with Positive Dispersion

Masayoshi Tajiri, Youichi Murakami

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1989 Volume 58 Issue 9 Pages 3029-3032

DOI https://doi.org/10.1143/JPSJ.58.3029

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Abstract

N-periodic soliton solutions that consist of N sequences of the algebraic localized solitons in arbitrary directions are presented to the Kadomtsev-Petviashvili equation with positive dispersion using the bilinear transformation method. The existence conditions and some properties of them are also given.

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