New explicit and exact solutions for a compound KdV-Burgers equation

被引：7
|
作者：
Zhao, Hong [1 ]
机构：
[1] Liaocheng Univ, Sch Phys Sci & Informat Engn, Shandong 252059, Peoples R China
来源：
CZECHOSLOVAK JOURNAL OF PHYSICS | 2006年 / 56卷 / 08期
关键词：
hyperbolic function method; compound KdV-Burgers equation; exact solutions; Wu elimination method;
D O I：
10.1007/s10582-006-0132-4
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, new explicit and exact solutions for a compound KdV-Burgers equation are obtained using the hyperbolic function method and the Wu elimination method, which include new solitary wave solutions and periodic solutions. Particularly important cases of the equation, such as the compound KdV, mKdV-Burgers and mKdV equations can be solved by this method. The method can also be applied to solve other nonlinear partial differential equation and equations.
引用
收藏
页码：799 / 805
页数：7
相关论文
共 50 条
  • [41] New exact solutions to the KdV-Burgers-Kuramoto equation
    Fu, ZT
    Liu, SK
    Liu, SD
    CHAOS SOLITONS & FRACTALS, 2005, 23 (02) : 609 - 616
  • [42] New exact solutions of the KdV-Burgers-Kuramoto equation
    Zhang, Sheng
    PHYSICS LETTERS A, 2006, 358 (5-6) : 414 - 420
  • [43] Non-Lie Symmetry Group and New Exact Solutions for the Two-Dimensional KdV-Burgers Equation
    Wang Hong
    Tian Ying-Hui
    Chen Han-Lin
    CHINESE PHYSICS LETTERS, 2011, 28 (02)
  • [44] A Reliable Explicit Method to Approximate the General Type of the KdV-Burgers' Equation
    Korkut, Sila Ovgu
    Karabas, Neslisah Imamoglu
    IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2022, 46 (01): : 239 - 249
  • [45] A new lattice Boltzmann model for KdV-Burgers equation
    Ma, CF
    CHINESE PHYSICS LETTERS, 2005, 22 (09) : 2313 - 2315
  • [46] Exact and nonstandard finite difference schemes for the generalized KdV-Burgers equation
    Koroglu, C.
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [47] Exact Solutions to the KDV-Burgers Equation with Forcing Term Using Tanh-Coth Method
    Chukkol, Yusuf Buba
    Mohamad, Mohd Nor
    Muminov, Mukhiddin I.
    PROCEEDINGS OF THE 24TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM24): MATHEMATICAL SCIENCES EXPLORATION FOR THE UNIVERSAL PRESERVATION, 2017, 1870
  • [48] Nonlinear waves in layered media: Solutions of the KdV-Burgers equation
    Samokhin, Alexey
    JOURNAL OF GEOMETRY AND PHYSICS, 2018, 130 : 33 - 39
  • [49] Exact Null Controllability of KdV-Burgers Equation with Memory Effect Systems
    Kumar, Rajagounder Ravi
    Chong, Kil To
    Park, Jong Ho
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [50] Asymptotic properties of solutions of a KdV-Burgers equation with localized dissipation
    Huang, Guowei
    Russell, David L.
    Journal of Mathematical Systems, Estimation, and Control, 1998, 8 (04): : 467 - 470
12345