New exact periodic solitary-wave solution of MKdV equation

被引：10
|
作者：
Guo, Y. F. [1 ]
Dai, Z. D. [2 ]
Li, D. [1 ]
机构：
[1] Guangxi Univ Technol, Dept Informat & Comp Sci, Liuzhou 545006, Guangxi, Peoples R China
[2] Yunnan Univ, Sch Math & Stat, Kunming 650091, Yunnan, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2009年 / 14卷 / 11期
关键词：
Periodic solitary-wave; Homoclinic test technique; MKdV equation; MULTIPLE COLLISIONS; SOLITONS;
D O I：
10.1016/j.cnsns.2008.09.011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a new test technique, extended homoclinic test method, was used to seek for the new exact periodic solitary-wave solutions of the modified Korteweg-de Vries (MKdV) equation. This result reveals that it is entirely possible for some integrable nonlinear equations to obtain exact periodic solitary-wave solutions using the extended homoclinic test method. Crown Copyright (C) 2008 Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：3821 / 3824
页数：4
相关论文
共 50 条
  • [41] Uniqueness of Benjamin's solitary-wave solution of the Benjamin-Ono equation
    Amick, C.J.
    Toland, J.F.
    IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications), 1991, 46 (1-2): : 21 - 28
  • [42] Existence of the Periodic Peaked Solitary-Wave Solutions to the Camassa–Holm–Kadomtsev–Petviashvili Equation
    Byungsoo Moon
    Journal of Nonlinear Mathematical Physics, 2022, 29 : 905 - 918
  • [43] New solitary wave solutions for the combined KdV-MKdV equation
    Lu, Dianchen
    Shi, Qian
    Journal of Information and Computational Science, 2010, 7 (08): : 1733 - 1737
  • [44] New solitary wave-like solution and exact solution of variable coefficient KP equation
    Mao, JJ
    Yang, JR
    ACTA PHYSICA SINICA, 2005, 54 (11) : 4999 - 5002
  • [45] EXACT SOLITARY WAVE AND PERIODIC WAVE SOLUTIONS OF THE KAUP-KUPERSCHMIDT EQUATION
    Zhang, Lijun
    Khalique, C. M.
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2015, 5 (03): : 485 - 495
  • [46] A Variety of Exact Periodic Wave and Solitary Wave Solutions for the Coupled Higgs Equation
    Triki, Houria
    Wazwaz, Abdul-Majid
    ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2012, 67 (10-11): : 545 - 549
  • [47] A comment on the series solution of the solitary-wave problem
    Engevik, L
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2003, 54 (01): : 179 - 183
  • [48] A New Periodic Solution to Jacobi Elliptic Functions of MKdV Equation and BBM Equation
    Ma, Hong-cai
    Zhang, Zhi-ping
    Deng, Ai-ping
    ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2012, 28 (02): : 409 - 415
  • [49] New exact periodic solitary-wave solutions for the new (3+1)-dimensional generalized Kadomtsev-Petviashvili equation in multi-temperature electron plasmas
    Liu, Jian-Guo
    Tian, Yu
    Zeng, Zhi-Fang
    AIP ADVANCES, 2017, 7 (10):
  • [50] A New Periodic Solution to Jacobi Elliptic Functions of MKdV Equation and BBM Equation
    Hong-cai MA 1
    Acta Mathematicae Applicatae Sinica, 2012, (02) : 409 - 415
12345