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arXiv · 0911.2290

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

Sarbarish Chakravarty·Tim Lewkow·Ken-ichi Maruno
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Abstract

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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Sarbarish Chakravarty, Tim Lewkow, Ken-ichi Maruno. 2009-11-12. On the construction of the KP line-solitons and their interactions. https://doi.org/10.1080/00036810903403343

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