Novel soliton molecules and wave interactions for a (3+1)-dimensional nonlinear evolution equation

被引：13
|
作者：
Tang, Xiao-yan [1 ]
Cui, Chao-jie [2 ]
Liang, Zu-feng [3 ]
Ding, Wei [4 ]
机构：
[1] East China Normal Univ, Sch Math Sci, Shanghai Key Lab PMMP, Shanghai 200062, Peoples R China
[2] East China Normal Univ, Shanghai Key Lab Trustworthy Comp, Shanghai 200062, Peoples R China
[3] Hangzhou Normal Univ, Dept Phys, Hangzhou 310036, Peoples R China
[4] Shanghai Normal Univ, Sch Comp Sci & Technol, Shanghai 200234, Peoples R China
来源：
NONLINEAR DYNAMICS | 2021年 / 105卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Soliton molecule; Dromion; Lump; Ring soliton; VARIABLE SEPARATION APPROACH; FORM;
D O I：
10.1007/s11071-021-06687-7
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
New wave excitations are revealed for a (3 + 1)-dimensional nonlinear evolution equation to enrich nonlinear wave patterns in nonlinear systems. Based on a new variable separation solution with two arbitrary variable separated functions obtained by means of the multilinear variable separation approach, localized excitations of N dromions, NxM lump lattice and ring soliton lattice are constructed. In addition, it is observed that soliton molecules can be composed of diverse "atoms" such as the dromions, lumps and ring solitons, respectively. Elastic interactions between solitons and soliton molecules are graphically demonstrated.
引用
收藏
页码：2549 / 2557
页数：9
相关论文
共 50 条
  • [21] A Pair of Resonance Stripe Solitons and Lump Solutions to a Reduced (3+1)-Dimensional Nonlinear Evolution Equation
    Chen, Mei-Dan
    Li, Xian
    Wang, Yao
    Li, Biao
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2017, 67 (06) : 595 - 600
  • [22] Dynamics of nonlinear wave and interaction phenomenon in the (3+1)-dimensional Hirota-Satsuma-Ito-like equation
    Wang, Binji
    Ma, Zhimin
    Liu, Xukun
    EUROPEAN PHYSICAL JOURNAL D, 2022, 76 (09)
  • [23] Novel interaction phenomena of localized waves in the generalized (3+1)-dimensional KP equation
    Liu, Yaqing
    Wen, Xiao-Yong
    Wang, Deng-Shan
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 78 (01) : 1 - 19
  • [24] Pfaffian solutions for the (3+1)-dimensional nonlinear evolution equation in a fluid/plasma/crystal and the (2+1)-dimensional Sawada-Kotera equation in a liquid
    Yin, Hui-Min
    Tian, Bo
    Zhen, Hui-Ling
    Chai, Jun
    Liu, Lei
    MODERN PHYSICS LETTERS B, 2017, 31 (22):
  • [25] A study on the resonant multi-soliton waves and the soliton molecule of the (3+1)-dimensional Kudryashov-Sinelshchikov equation
    Kuo, Chun-Ku
    CHAOS SOLITONS & FRACTALS, 2021, 152
  • [26] Solutions of novel soliton molecules and their interactions of (2+1)-dimensional potential Boiti-Leon-Manna-Pempinelli equation
    Ma, Hong-Cai
    Gao, Yi-Dan
    Deng, Ai-Ping
    CHINESE PHYSICS B, 2022, 31 (07)
  • [27] The (3+1)-dimensional Benjamin-Ono equation: Painleve analysis, rogue waves, breather waves and soliton solutions
    Kumar, Sachin
    Malik, Sandeep
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2022, 36 (20):
  • [28] Localized excitation and folded solitary wave for an extended (3+1)-dimensional B-type Kadomtsev-Petviashvili equation
    Li, Lingfei
    Yan, Yongsheng
    Xie, Yingying
    NONLINEAR DYNAMICS, 2022, 109 (03) : 2013 - 2027
  • [29] Integrability and multiple-rogue and multi-soliton wave solutions of the (3+1)-dimensional Hirota-Satsuma-Ito equation
    Chu, Jingyi
    Liu, Yaqing
    Ma, Wen-Xiu
    MODERN PHYSICS LETTERS B, 2024,
  • [30] New exact solitary wave solutions of the generalized (3+1)-dimensional nonlinear wave equation in liquid with gas bubbles via extended auxiliary equation method
    Sabi'u, Jamilu
    Shaayesteh, Mayssam Tarighi
    Taheri, Ali
    Rezazadeh, Hadi
    Inc, Mustafa
    Akgul, Ali
    OPTICAL AND QUANTUM ELECTRONICS, 2023, 55 (07)
12345