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On the construction of the KP line-solitons and their interactions

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arxiv 0911.2290 v1 pith:K45KACJO submitted 2009-11-12 nlin.SI math-phmath.MPnlin.PS

Sarbarish Chakravarty , Tim Lewkow , Ken-ichi Maruno This is my paper · ORCID
classification nlin.SImath-phmath.MPnlin.PS
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The line-soliton solutions of the Kadomtsev--Petviashvili (KP) equation are investigated in this article using the tau-function formalism. In particular, the Wronskian and the Grammian forms of the tau-function are discussed, and the equivalence of these two forms are established. Furthermore, the interaction properties of two special types of 2-soliton solutions of the KP equation are studied in details.

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