CURVED ASYMPTOTIC SOLITONS OF KADOMTSEV-PETVIASHVILI-I AND MODIFIED KADOMTSEV-PETVIASHVILI-I EQUATIONS

被引：7
作者：
ANDERS, IA
机构：
[1] B. Verkin Institute for Low Temperature Physics and Engineering, Kharkov
来源：
PHYSICA D | 1995年 / 87卷 / 1-4期
关键词：
D O I：
10.1016/0167-2789(95)00125-N
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Within the framework of the Zakharov-Shabat scheme nondecreasing solutions of the Kadomtsev-Petviashvili-I equation and the modified Kadomtsev-Petviashvili-I equation are constructed. The asymptotic behaviour of these solutions is investigated for large time. It is proved that their asymptotic behaviour is described by a chain of curved solitons. It is shown that a different choice of a measure implies a different form of asymptotic solitons.
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页码：160 / 167
页数：8
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