Characteristics and interactions of solitary and lump waves of a (2+1)-dimensional coupled nonlinear partial differential equation

被引：90

作者：

Ren, Bo ^{[1
]}

Ma, Wen-Xiu ^{[2
,3
,4
,5
,6
]}

Yu, Jun ^{[1
]}

机构：

[1] Shaoxing Univ, Inst Nonlinear Sci, Shaoxing 312000, Peoples R China

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

[3] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China

[4] King Abdulaziz Univ, Dept Math, Jeddah, Saudi Arabia

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

[6] North West Univ, Dept Math Sci, Int Inst Symmetry Anal & Math Modelling, Mafikeng Campus,Private Bag X2046, ZA-2735 Mmabatho, South Africa

来源：

NONLINEAR DYNAMICS | 2019年 / 96卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Nonlinear partial differential equation; Hirota bilinear form; Solitary wave; Lump wave; Interaction solution; MODULATIONAL INSTABILITY; DISCRETE BREATHERS; STRIPE SOLITONS; JIMBO-MIWA; LATTICE;

D O I：

10.1007/s11071-019-04816-x

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

A (2 + 1)-dimensional coupled nonlinear partial equation which possesses a Hirota bilinear form is introduced. Based on the Hirota bilinear form, two solitary waves are constructed. In the meanwhile, lump waves are derived by using a positive quadratic function. By combining an exponential function with a quadratic function, interaction solutions between a lump and a one-kink soliton, and between a bi-lump and a one-soliton solution are generated. Some special concrete interaction solutions are depicted in both analytical and graphical ways.

引用

页码：717 / 727

页数：11

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