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.
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页码：2589 / 2603
页数：15
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