Observation of interaction phenomena for two dimensionally reduced nonlinear models

被引：16

作者：

Lin, Fu-Hong ^{[1
]}

Wang, Jian-Ping ^{[1
]}

Zhou, Xian-Wei ^{[1
]}

Ma, Wen-Xiu ^{[2
,3
,4
]}

Lue, Xing ^{[1
,5
]}

机构：

[1] Univ Sci & Technol Beijing, Sch Comp & Commun Engn, Beijing 100083, Peoples R China

[2] Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA

[3] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Shandong, Peoples R China

[4] North West Univ, Dept Math Sci, Int Inst Symmetry Anal & Math Modelling, Mafikeng Campus,Private Bag X 2046, ZA-2735 Mmabatho, South Africa

[5] Beijing Engn & Technol Res Ctr Convergence Networ, Beijing 100083, Peoples R China

来源：

NONLINEAR DYNAMICS | 2018年 / 94卷 / 04期

基金：

国家重点研发计划; 中国国家自然科学基金;

关键词：

Lump; Soliton; Rogue wave; Oceanography; KADOMTSEV-PETVIASHVILI EQUATION; MULTIPLE WAVE SOLUTIONS; LUMP SOLUTIONS; BACKLUND TRANSFORMATION; EVOLUTION-EQUATIONS; RATIONAL SOLUTIONS; SOLITON; DYNAMICS; DROMION;

D O I：

10.1007/s11071-018-4514-5

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

To study the lump-soliton interaction phenomenon for the (3+1)-dimensional nonlinear model with dimensional reduction, interaction solutions have been formulated by combining positive quadratic functions with hyperbolic function in bilinear equations. The collision between lump and soliton has been analyzed and simulated. When the lump is induced by a bounded twin soliton, the rogue wave turns up, which can only be visible at an instant time. Based on the solutions, it is easy to find the amplitude, the place and the arrival time of the rogue waves. The mechanism investigated in this paper may shed some light on the study of rogue waves in oceanography, fluid dynamics and nonlinear optics.

引用

页码：2643 / 2654

页数：12

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