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.
|Number of pages||17|
|Publication status||Published - 2010 Apr|
- KP equation
ASJC Scopus subject areas
- Applied Mathematics