Symmetries and new exact solutions of the novel (3+1)-dimensional sinh-Gorden equation

被引：1
|
作者：
Liu, Rui [1 ]
Wang, Zhijun [2 ]
Su, Xing [2 ]
Wang, Gangwei [2 ]
机构：
[1] Liaocheng Univ, Sch Comp Sci, Liaocheng 252059, Shandong, Peoples R China
[2] Hebei Univ Econ & Business, Sch Math & Stat, Shijiazhuang 050061, Hebei, Peoples R China
来源：
JOURNAL OF THE KOREAN PHYSICAL SOCIETY | 2021年 / 79卷 / 06期
基金：
中国国家自然科学基金;
关键词：
New (3+1)-dimensional sinh-Gorden equation; Symmetries; F-expansion method; New analytic solutions; BACKLUND TRANSFORMATION; SOLITON;
D O I：
10.1007/s40042-021-00252-6
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In the present paper, some new exact solutions of the (3+1)-dimensional sinh-Gorden equation are displayed. First, based on the Lie point symmetry, basic infinitesimal generators given; also, and the Lie algebra and commutative relations are shown. Second, some exact solutions are obtained using the F-expansion method, and a great many Jacobian-elliptic function solutions are presented. Finally, other forms of solutions are derived using the traveling wave transform.
引用
收藏
页码：527 / 532
页数：6
相关论文
共 50 条
  • [21] New exact solutions and conservation laws to (3+1)-dimensional potential-YTSF equation
    Zhang, LH
    Liu, XQ
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2006, 45 (03) : 487 - 492
  • [22] Similarity reductions and new exact solutions for (3+1)-dimensional B-B equation
    Gaber, Ahmed A.
    Wazwaz, Abdul-Majid
    Mousa, Mohamed M.
    MODERN PHYSICS LETTERS B, 2023,
  • [23] Exact solutions and bifurcations of the new (3+1)-dimensional generalized Kadomstev-Petviashvili equation
    Meng, Hui
    Zheng, Zhen
    Zhang, Jing
    Wang, Zenggui
    PHYSICA SCRIPTA, 2025, 100 (01)
  • [24] NEW EXACT SOLUTIONS OF THE LOCAL FRACTIONAL (3+1)-DIMENSIONAL KADOMSTEV-PETVIASHVILI EQUATION
    Du, Chuan
    Wang, Kang-Jia
    Guo, Jin-Fei
    Bai, Yi-Chen
    THERMAL SCIENCE, 2024, 28 (4B): : 3473 - 3478
  • [25] New Exact Solutions and Conservation Laws to (3+1)-Dimensional Potential-YTSF Equation
    ZHANG Li-Hua LIU Xi-Qiang School of Mathematical Science
    Communications in Theoretical Physics, 2006, 45 (03) : 487 - 492
  • [26] A note on "Abundant new exact solutions for the (3+1)-dimensional Jimbo-Miwa equation"
    Kudryashov, Nikolay A.
    Sinelshchikov, Dmitry I.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 371 (01) : 393 - 396
  • [27] New Exact Non-traveling Wave Solutions for the (3+1)-dimensional KP Equation
    Xian Da-Quan
    Chen Han-Lin
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2010, 11 (08) : 611 - 617
  • [28] Multiple elliptic equation method and new exact solutions of the (3+1)-dimensional sine-Gordon equation
    Chen, Huai-Tang
    Yin, Hui-Cheng
    ISND 2007: PROCEEDINGS OF THE 2007 INTERNATIONAL SYMPOSIUM ON NONLINEAR DYNAMICS, PTS 1-4, 2008, 96
  • [29] THE NEW EXACT SOLITARY SOLUTIONS FOR THE (3+1)-DIMENSIONAL ZAKHAROV-KUZNETSOV EQUATION USING THE RICCATI EQUATION
    Yin, Xiao-Jun
    Liu, Quan-Sheng
    Yang, Lian-Gui
    Narenmandula
    THERMAL SCIENCE, 2020, 24 (06): : 3995 - 4000
  • [30] New exact solutions for (3+1)-dimensional Kadomtsev-Petviashvili equation and generalized (2+1)-dimensional Boussinesq equation
    El-Sabbagh, MF
    Ali, AT
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2005, 6 (02) : 151 - 162
12345