LATTICE SOLITON - SOLUTIONS TO THE KADOMTSEV-PETVIASHVILI EQUATION WITH POSITIVE DISPERSION

Citation
M. Tajiri et Y. Murakami, LATTICE SOLITON - SOLUTIONS TO THE KADOMTSEV-PETVIASHVILI EQUATION WITH POSITIVE DISPERSION, Journal of mathematical physics, 34(6), 1993, pp. 2400-2411
Citations number
22
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
ISSN journal
00222488
Volume
34
Issue
6
Year of publication
1993
Pages
2400 - 2411
Database
ISI
SICI code
0022-2488(1993)34:6<2400:LS-STT>2.0.ZU;2-R
Abstract
Lattice soliton solutions that have doubly periodic array of the local ized structures in the plane are presented to the Kadomtsev-Petviashvi li equation with the positive dispersion by using the superposition of the rational functions. Each structure is similar to the rational sol iton. The existence condition and some properties are also presented.