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
收藏
页码：927 / 934
页数：8
相关论文
共 50 条
  • [31] The mixed solutions for soliton–breather–lump in the (3+1)-dimensional nonlinear evolution equation
    Wei Shi
    The European Physical Journal Plus, 137
  • [32] Solitary wave, lump and their interactional solutions of the (3+1)-dimensional nonlinear evolution equation
    Lan, Lan
    Chen, Ai-Hua
    Zhou, Ai-Juan
    PHYSICA SCRIPTA, 2019, 94 (10)
  • [33] Multiwave interaction solutions for a (3+1)-dimensional nonlinear evolution equation
    Wenying Cui
    Wei Li
    Yinping Liu
    Nonlinear Dynamics, 2020, 101 : 1119 - 1129
  • [34] Multiwave interaction solutions for a (3+1)-dimensional nonlinear evolution equation
    Cui, Wenying
    Li, Wei
    Liu, Yinping
    NONLINEAR DYNAMICS, 2020, 101 (02) : 1119 - 1129
  • [35] Abundant lump-type solutions of the Jimbo-Miwa equation in (3+1)-dimensions
    Yang, J. Y.
    Ma, W. X.
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 73 (02) : 220 - 225
  • [36] Lump-type solutions of a generalized Kadomtsev-Petviashvili equation in (3+1)-dimensions
    Cheng, Xue-Ping
    Ma, Wen-Xiu
    Yang, Yun-Qing
    CHINESE PHYSICS B, 2019, 28 (10)
  • [37] A Study on Lump and Interaction Solutions to a (3+1)-Dimensional Soliton Equation
    Liu, Xi-zhong
    Lou, Zhi-Mei
    Qian, Xian-Min
    Thiam, Lamine
    COMPLEXITY, 2019, 2019
  • [38] New lump solutions and several interaction solutions and their dynamics of a generalized(3+1)-dimensional nonlinear differential equation
    Yexuan Feng
    Zhonglong Zhao
    Communications in Theoretical Physics, 2024, 76 (02) : 3 - 15
  • [39] New lump solutions and several interaction solutions and their dynamics of a generalized (3+1)-dimensional nonlinear differential equation
    Feng, Yexuan
    Zhao, Zhonglong
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2024, 76 (02)
  • [40] The mixed solutions for soliton-breather-lump in the (3+1)-dimensional nonlinear evolution equation
    Shi, Wei
    Zhaqilao
    EUROPEAN PHYSICAL JOURNAL PLUS, 2022, 137 (04):
12345