Lump Solutions of Kadomtsev-Petviashvili I Equation in Non-uniform Media

被引：22

作者：

Zhu Xiao-Ming ^{[1
]}

Zhang Da-Jun ^{[1
]}

Chen Deng-Yuan ^{[1
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2011年 / 55卷 / 01期

基金：

中国国家自然科学基金;

关键词：

non-isospectral Kadomtsev-Petviashvili I equation; inverse scattering transform; lump solutions; TIME-DEPENDENT SCHRODINGER; INVERSE SCATTERING TRANSFORM; SOLITONS;

D O I：

10.1088/0253-6102/55/1/03

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

N-lump solutions of the Kadomtsev-Petviashvili I equation in non-uniform media are derived through the inverse scattering transform. The obtained solutions describe lump waves with time-dependent amplitudes and velocities. Dynamics of 1-lump wave and interactions of two lump wave are illustrated.

引用

页码：13 / 19

页数：7

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