Abstract
The line-soliton solutions of the Kadomtsev–Petviashvili (KP) equation are investigated in this article using the τ-function formalism. In particular, the Wronskian and the Grammian forms of the τ-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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Acknowledgements
We thank Yuji Kodama for useful discussions. The research of the S. Chakravarty and T. Lewkow is partially supported by the NSF grant DMS-0807404.