The rogue waves of the KP equation with self-consistent sources

被引：34
作者：
Zhang, Yi [1 ]
Sun, YanBo [1 ]
Xiang, Wen [1 ]
机构：
[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 263卷
基金：
中国国家自然科学基金;
关键词：
Soliton; KP equation; Self-consistent sources; Hirota bilinear method; Rogue waves; KADOMTSEV-PETVIASHVILI EQUATION; NONLINEAR SCHRODINGER-EQUATION; RATIONAL SOLUTIONS; DYNAMICS;
D O I：
10.1016/j.amc.2015.03.116
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
General high-order rogue waves of the KP equation with self-consistent sources (KPESCSs) are derived via the Hirota bilinear method, which are given in terms of determinants whose matrix elements have plain algebraic expressions. By means of the regulation of free parameters, the presentation of fundamental rogue waves and the second-order rogue waves is demonstrated by the density and the three dimensional figures. (C) 2015 Elsevier Inc. All rights reserved.
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页码：204 / 213
页数：10
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