High-Order Lump-Type Solutions and Their Interaction Solutions to a (3+1)-Dimensional Nonlinear Evolution Equation

被引：18

作者：

Fang, Tao ^{[1
]}

Wang, Hui ^{[1
,2
]}

Wang, Yun-Hu ^{[1
,3
]}

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

机构：

[1] Shanghai Maritime Univ, Coll Art & Sci, Shanghai 201306, Peoples R China

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

[3] Educ Univ Hong Kong, Dept Math & Informat Technol, Hong Kong, 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, Mafikeng Campus, ZA-2735 Mmabatho, South Africa

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2019年 / 71卷 / 08期

基金：

中国国家自然科学基金; 美国国家科学基金会;

关键词：

high-order lump-type solutions; interaction solutions; Hirota bilinear method; RESONANCE STRIPE SOLITONS; RATIONAL SOLUTIONS; KINK SOLUTIONS; ROGUE WAVE; PAIR;

D O I：

10.1088/0253-6102/71/8/927

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

By means of the Hirota bilinear method and symbolic computation, high-order lump-type solutions and a kind of interaction solutions are presented for a (3+1)-dimensional nonlinear evolution equation. The high-order lump-type solutions of the associated Hirota bilinear equation are presented, which is a kind of positive quartic-quadratic-function solution. At the same time, the interaction solutions can also be obtained, which are linear combination solutions of quartic-quadratic-functions and hyperbolic cosine functions. Physical properties and dynamical structures of two classes of the presented solutions are demonstrated in detail by their graphs.

引用

页码：927 / 934

页数：8

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