Line-soliton, lump and interaction solutions to the (2+1)-dimensional Hirota-Satsuma-Ito equation with time-dependent via Hirota bilinear forms

被引:3
|
作者
Yang, Deniu [1 ]
Jiang, Xujie [2 ]
机构
[1] South China Business Coll, Guangdong Univ Foreign Studies, Sch Comp Sci, Guangzhou 510545, Peoples R China
[2] Nanchang Hangkong Univ, Coll Math & Informat Sci, Nanchang 330063, Peoples R China
关键词
Hirota bilinear method; Soliton; Lump; Interaction solution; Generalized Hirota-Satsuma-Ito equation; TRAVELING-WAVE SOLUTIONS; INVERSE SCATTERING TRANSFORM; BACKLUND TRANSFORMATION; DARBOUX TRANSFORMATION;
D O I
10.1016/j.rinp.2023.106904
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this paper, we consider the (2+1)-dimensional generalized Hirota-Satsuma-Ito equation with time-dependent, which has applications in describing the propagation of shallow water waves. Based on the bilinear formalism and with the aid of symbolic computation, we obtain line-soliton, lump, one-lump-one-stripe and one-lump-one-soliton using various ansatze's function. To realize dynamics, we use diverse plots to analyze these solutions. Obtained solutions are reliable in the mathematical physics and engineering.
引用
收藏
页数:11
相关论文
共 50 条
  • [21] Breather-to-soliton conversions and their mechanisms of the (2+1)-dimensional generalized Hirota-Satsuma-Ito equation
    Wu, Zhi-Jia
    Tian, Shou-Fu
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2023, 210 : 235 - 259
  • [22] Soliton solutions and their degenerations in the (2+1)-dimensional Hirota–Satsuma–Ito equations with time-dependent linear phase speed
    Xin Chen
    Yaqing Liu
    Jianhong Zhuang
    Nonlinear Dynamics, 2023, 111 : 10367 - 10380
  • [23] The mixed solutions of the (2+1)-dimensional Hirota-Satsuma-Ito equation and the analysis of nonlinear transformed waves
    An, Yong-Ning
    Guo, Rui
    NONLINEAR DYNAMICS, 2023, 111 (19) : 18291 - 18311
  • [24] Resonant collisions among localized waves in the (2+1)-dimensional Hirota-Satsuma-Ito equation
    Wu, Jiaojiao
    Li, Biao
    MODERN PHYSICS LETTERS B, 2022, 36 (26N27):
  • [25] Bilinear Backlund transformation, kink and breather-wave solutions for a generalized (2+1)-dimensional Hirota-Satsuma-Ito equation in fluid mechanics
    Zhao, Xin
    Tian, Bo
    Du, Xia-Xia
    Hu, Cong-Cong
    Liu, Shao-Hua
    EUROPEAN PHYSICAL JOURNAL PLUS, 2021, 136 (02):
  • [26] A (2+1)-dimensional generalized Hirota-Satsuma-Ito equations: Lie symmetry analysis, invariant solutions and dynamics of soliton solutions
    Kumar, Sachin
    Nisar, Kottakkaran Sooppy
    Kumar, Amit
    RESULTS IN PHYSICS, 2021, 28
  • [27] A study on resonant multi-soliton solutions to the (2+1)-dimensional Hirota-Satsuma-Ito equations via the linear superposition principle
    Kuo, Chun-Ku
    Ma, Wen-Xiu
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2020, 190
  • [28] Interaction solutions and localized waves to the(2+1)-dimensional Hirota–Satsuma–Ito equation with variable coefficient
    闫鑫颖
    刘锦洲
    辛祥鹏
    Chinese Physics B, 2023, (07) : 236 - 242
  • [29] New waves solutions of the (2+1)-dimensional generalized Hirota-Satsuma-Ito equation using a novel expansion method
    Khaliq, Saqib
    Ahmad, Shabir
    Ullah, Aman
    Ahmad, Hijaz
    Saifullah, Sayed
    Nofal, Taher A.
    RESULTS IN PHYSICS, 2023, 50
  • [30] Localized wave solutions and interactions of the(2+1)-dimensional Hirota–Satsuma–Ito equation
    巩乾坤
    王惠
    王云虎
    Chinese Physics B, 2024, 33 (04) : 204 - 211