Soliton like and multi-soliton like solutions for the Boiti-Leon-Pempinelli equation

被引:78
|
作者
Lü, ZS [1 ]
Zhang, HQ
机构
[1] Dalian Univ Technol, Dept Math Appl, Dalian 116024, Peoples R China
[2] Chinese Acad Sci, MM Key Lab, Beijing 10080, Peoples R China
基金
中国国家自然科学基金;
关键词
D O I
10.1016/S0960-0779(03)00104-8
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The sine-Gordon equation or the sinh-Gordon equation are related to the Boiti-Leon-Pempinelli (BLP) equation by certain transformation [Inv. Probl. 3 (1987) 37; Theor. Math. Phys. 100 (1994) 1075]. In this paper, we construct explicit exact solutions for the BLP equation by using a further extended tanh method [Phys. Lett. A. 307 (2003) 269); Chaos, Solitons & Fractals 17 (2003) 669] and symbolic computation system Maple. We obtain abundant soliton like, multi-soliton like and period form solutions of the equation. (C) 2003 Elsevier Ltd. All rights reserved.
引用
收藏
页码:527 / 531
页数:5
相关论文
共 50 条
  • [21] NUMERICAL ANALYSIS OF THE (2+1)-DIMENSIONAL BOITI-LEON-PEMPINELLI EQUATION
    Lu, Jun-Feng
    THERMAL SCIENCE, 2017, 21 (04): : 1657 - 1663
  • [22] Localized structures for (2+1)-dimensional Boiti-Leon-Pempinelli equation
    Mu, Gui
    Dai, Zhengde
    Zhao, Zhanhui
    PRAMANA-JOURNAL OF PHYSICS, 2013, 81 (03): : 367 - 376
  • [23] The multi-soliton solutions of the CH-γ equation
    CHEN ChunLi~(1+) LI YiShen~2 ZHANG JinE~3 1 Department of Mathematics
    2 Department of Mathematics
    3 SB and SEF
    Science China Mathematics, 2008, (02) : 314 - 320
  • [24] Lie symmetries, invariant solutions and phenomena dynamics of Boiti-Leon-Pempinelli system
    Tanwar, Dig Vijay
    Kumar, Mukesh
    Tiwari, Atul Kumar
    PHYSICA SCRIPTA, 2022, 97 (07)
  • [25] Dispersive soliton solutions to the (4+1)-dimensional Boiti-Leon-Manna-Pempinelli equation via an analytical method
    Ahmad, Jamshad
    Rani, Sobia
    Muhammad, Taseer
    Rehman, Shafqat Ur
    OPTICAL AND QUANTUM ELECTRONICS, 2024, 56 (05)
  • [26] A variety of exact travelling wave solutions for the (2+1)-dimensional Boiti-Leon-Pempinelli equation
    Wazwaz, Abdul-Majid
    Mehanna, Mona S.
    APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (04) : 1484 - 1490
  • [27] The multi-soliton solutions of the CH-γ equation
    Chen ChunLi
    Li YiShen
    Zhang Jine
    SCIENCE IN CHINA SERIES A-MATHEMATICS, 2008, 51 (02): : 314 - 320
  • [28] 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)
  • [29] Solutions of novel soliton molecules and their interactions of (2+1)-dimensional potential Boiti-Leon-Manna-Pempinelli equation
    马红彩
    高一丹
    邓爱平
    Chinese Physics B, 2022, (07) : 100 - 106
  • [30] New Fractal Localized Structures in Boiti-Leon-Pempinelli System
    MA Zheng-Yi~1 ZHU Jia-Min~1 ZHENG Chun-Long~(1
    Communications in Theoretical Physics, 2004, 42 (10) : 521 - 523