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
来源：
CHAOS SOLITONS & FRACTALS | 2004年 / 19卷 / 03期
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
  • [41] Analytical multi-soliton solutions of a (2+1)-dimensional breaking soliton equation
    Wang, Shao-fu
    SPRINGERPLUS, 2016, 5
  • [42] New Soliton-like Solutions and Multi-soliton Structures for Broer-Kaup System with Variable Coefficients
    JI Ming-Jun~1 L(?) Zhuo-Sheng~21 Transportation Management College
    Communications in Theoretical Physics, 2005, 44 (11) : 802 - 806
  • [43] Point-symmetry pseudogroup, Lie reductions and exact solutions of Boiti-Leon-Pempinelli system
    Maltseva, Diana S.
    Popovych, Roman O.
    PHYSICA D-NONLINEAR PHENOMENA, 2024, 460
  • [44] Symmetry analysis and CTE solvability for the (2+1)-dimensional Boiti-Leon-Pempinelli equation
    Wang, Yun-Hu
    Wang, Hui
    PHYSICA SCRIPTA, 2014, 89 (12)
  • [45] Multi-Soliton, Soliton-Cnoidal, and Lump Wave Solutions for the Supersymmetric Boussinesq Equation
    Wei, Peng-Fei
    Zhang, Hao-Bo
    Liu, Ye
    Lin, Si-Yu
    Chen, Rui-Yu
    Xu, Zi-Yi
    Wang, Wan-Li
    Ren, Bo
    MATHEMATICS, 2024, 12 (13)
  • [46] Symmetry reduction and explicit solutions of the (2+1)-dimensional Boiti-Leon-Pempinelli system
    Fei, Jinxi
    Ma, Zhengyi
    Chen, Yuanming
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 268 : 432 - 438
  • [47] Diversity of exact solutions to a restricted Boiti-Leon-Pempinelli dispersive long-wave system
    Ma, WX
    PHYSICS LETTERS A, 2003, 319 (3-4) : 325 - 333
  • [48] Soliton molecules and the novel hybrid interaction solutions of the new extended (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation
    Wang, Kang-Jia
    Shi, Feng
    Liu, Jing-Hua
    PRAMANA-JOURNAL OF PHYSICS, 2024, 98 (02):
  • [49] Obtaining soliton solutions of the nonlinear (4+1)-dimensional Boiti-Leon-Manna-Pempinelli equation via two analytical techniques
    Esen, Handenur
    Secer, Aydin
    Ozisik, Muslum
    Bayram, Mustafa
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2024, 38 (01):
  • [50] Classical and SUSY solutions of the Boiti-Leon-Manna-Pempinelli equation
    Delisle, Laurent
    Mosaddeghi, Masoud
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2013, 46 (11)
12345