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

Autor:	Chakravarty, Sarbarish, Lewkow, Tim, Maruno, Ken-ichi
Rok vydání:	2009
Předmět:	Nonlinear Sciences - Exactly Solvable and Integrable Systems Mathematical Physics Nonlinear Sciences - Pattern Formation and Solitons
Zdroj:	Applicable Analysis, 89 (2010) 529-545
Druh dokumentu:	Working Paper
DOI:	10.1080/00036810903403343
Popis:	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. Comment: 16 pages, 6 figures, To appear in Applicable Analysis, Special Issue "Solitons and Integrable Systems"
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0911.2290 Zobrazit plný text záznamu View this record from Arxiv