N-soliton solutions and asymptotic analysis for a Kadomtsev-Petviashvili-Schrodinger system for water waves

被引：4

作者：

Wang, Yu-Feng ^{[1
,2
]}

Tian, Bo ^{[1
,2
]}

Liu, Li-Cai ^{[1
,2
]}

Li, Min ^{[1
,2
]}

Qin, Bo ^{[1
,2
]}

机构：

[1] Beijing Univ Posts & Telecommun, State Key Lab Informat Photon & Opt Commun, Beijing 100876, Peoples R China

[2] Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2015年 / 66卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Water waves; Kadomtsev-Petviashvili-Schrodinger system; Hirota method; N-soliton solutions; Symbolic computation; 5TH-ORDER KDV EQUATION; INVERSE SCATTERING TRANSFORM; TIME-DEPENDENT SCHRODINGER; NONSTATIONARY SCHRODINGER; DIFFERENTIAL-EQUATIONS; SURFACE-WAVES; PAINLEVE TEST; KP; MECHANICS; PLASMAS;

D O I：

10.1007/s00033-015-0538-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Under investigation in this paper is a Kadomtsev-Petviashvili-Schrodinger system, which describes the long waves in shallow water. Integrability study has been made through the Painlev, test. Via the Hirota method, the bilinear form and N-soliton solutions are obtained with an auxiliary variable. Collision of two solitons is found to be elastic by means of the asymptotic analysis. From the graphical descriptions of the two- and three-soliton solutions, it is found that both the bright and dark solitons collide with one another without any change in the physical quantities except for some small phase shifts during the process of each collision.

引用

页码：2543 / 2553

页数：11

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