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

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.

16 pages, 6 figures, To appear in Applicable Analysis, Special Issue "Solitons and Integrable Systems"

References in corpus (2)

• Soliton solutions of the Kadomtsev-Petviashvili II equation
• Classification of the line-soliton solutions of KPII

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