Soliton interaction in the modified Kadomtsev-Petviashvili-(II) equation

被引：8

作者：

Chang, Jen-Hsu ^{[1
]}

机构：

[1] Natl Def Univ, Dept Comp Sci & Informat Engn, Tauyuan City, Taiwan

来源：

APPLICABLE ANALYSIS | 2019年 / 98卷 / 14期

关键词：

r-function; Grassmannian; resonance; kink soliton; PETVIASHVILI; MKP; RESONANCES; EVOLUTION;

D O I：

10.1080/00036811.2018.1466285

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study soliton interaction in the Modified Kadomtsev-Petviashvili-(II) equation (MKP-(II)) using the totally non-negative Grassmannian. One constructs the multi-kink soliton of MKP equation using the -function and the Binet-Cauchy formula, and then investigates the interaction between kink solitons and line solitons. Especially, Y-type kink-soliton resonance, O-type kink soliton and P-type kink soliton of X-shape are investigated. Their amplitudes of interaction are computed after choosing appropriate phases.

引用

页码：2589 / 2603

页数：15

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