The bifurcation and exact peakons, solitary and periodic wave solutions for the Kudryashov-Sinelshchikov equation

被引：37
|
作者：
He, Bin [1 ]
Meng, Qing [2 ]
Long, Yao [1 ]
机构：
[1] Honghe Univ, Coll Math, Mengzi 661100, Yunnan, Peoples R China
[2] Honghe Univ, Dept Phys, Mengzi 661100, Yunnan, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2012年 / 17卷 / 11期
基金：
中国国家自然科学基金;
关键词：
Kudryashov-Sinelshchikov equation; Bifurcation; Soliton; Periodic wave; Exact travelling wave solution; VISCOSITY; LIQUIDS;
D O I：
10.1016/j.cnsns.2012.03.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the Kudryashov-Sinelshchikov equation is studied by using the bifurcation method of dynamical systems and the method of phase portraits analysis. From dynamic point of view, the existence of peakon, solitary wave, smooth and non-smooth periodic waves is proved and the sufficient conditions to guarantee the existence of the above solutions in different regions of the parametric space are given. Also, some new exact travelling wave solutions are presented through some special phase orbits. (C) 2012 Elsevier B.V. All rights reserved.
引用
收藏
页码：4137 / 4148
页数：12
相关论文
共 50 条
  • [21] Traveling wave solutions and conservation laws of a generalized Kudryashov-Sinelshchikov equation
    Ben Muatjetjeja
    Adem, Abdullahi Rashid
    Mbusi, Sivenathi Oscar
    JOURNAL OF APPLIED ANALYSIS, 2019, 25 (02) : 211 - 217
  • [22] Numerical and dynamical behaviors of nonlinear traveling wave solutions of the Kudryashov-Sinelshchikov equation
    Karakoc, Seydi Battal Gazi
    Saha, Asit
    Bhowmik, Samir Kumar
    Sucu, Derya Yildirim
    WAVE MOTION, 2023, 118
  • [23] Orbital stability of solitary wave solutions of Kudryashov–Sinelshchikov equation
    XiaoHua Liu
    The European Physical Journal Plus, 135
  • [24] On group analysis, conservation laws and exact solutions of time-fractional Kudryashov-Sinelshchikov equation
    Prakash, P.
    COMPUTATIONAL & APPLIED MATHEMATICS, 2021, 40 (05):
  • [25] On the Solutions for a Fifth Order Kudryashov-Sinelshchikov Type Equation
    Coclite, Giuseppe Maria
    di Ruvo, Lorenzo
    SYMMETRY-BASEL, 2022, 14 (08):
  • [26] Exact Solutions of the Kudryashov-Sinelshchikov Equation Using the Multiple G′/G-Expansion Method
    He, Yinghui
    Li, Shaolin
    Long, Yao
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2013, 2013
  • [27] On the Kudryashov-Sinelshchikov equation for waves in bubbly liquids
    Randrueuet, Merle
    PHYSICS LETTERS A, 2011, 375 (42) : 3687 - 3692
  • [28] New exact solutions for Kudryashov–Sinelshchikov equation
    Junliang Lu
    Advances in Difference Equations, 2018
  • [29] A singular limit problem for the Kudryashov-Sinelshchikov equation
    Coclite, Giuseppe Maria
    di Ruvo, Lorenzo
    ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2017, 97 (09): : 1020 - 1033
  • [30] The exact solutions for Kudryashov and Sinelshchikov equation with variable coefficients
    Jisha, C. R.
    Dubey, Ritesh Kumar
    Benton, Dudley
    Rashid, A.
    PHYSICA SCRIPTA, 2022, 97 (09)
12345