Exact solutions of the (2+1)-dimensional Camassa-Holm Kadomtsev-Petviashvili equation

被引：24
|
作者：
Ebadi, Ghodrat [1 ]
Fard, Nazila Yousefzadeh [1 ]
Triki, Houria [2 ]
Biswas, Anjan [3 ]
机构：
[1] Univ Tabriz, Fac Math Sci, Tabriz 5166614766, Iran
[2] Badji Mokhtar Univ, Dept Phys, Radiat Phys Lab, Anaba 2300, Algeria
[3] Delaware State Univ, Dept Math Sci, Dover, DE 19901 USA
来源：
NONLINEAR ANALYSIS-MODELLING AND CONTROL | 2012年 / 17卷 / 03期
关键词：
solitons; exp-function method; G '/G method; NUMERICAL-SOLUTIONS; EXPLICIT; WAVE;
D O I：
10.15388/NA.17.3.14056
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper studies the (2 + 1)-dimensional Camassa-Holm Kadomtsev-Petviashvili equation. There are a few methods that will be utilized to carry out the integration of this equation. Those are the G'/G method as well as the exponential function method. Subsequently, the ansatz method will be applied to obtain the topological soliton solution of this equation. The constraint conditions, for the existence of solitons, will also fall out of these.
引用
收藏
页码：280 / 296
页数：17
相关论文
共 50 条
  • [31] Resonance solutions and hybrid solutions of an extended (2+1)-dimensional Kadomtsev-Petviashvili equation in fluid mechanics
    Ma, Hongcai
    Mao, Xue
    Deng, Aiping
    NONLINEAR DYNAMICS, 2023, 111 (14) : 13439 - 13455
  • [32] Periodic Wave Solutions for(2+1)-Dimensional Boussinesq Equation and(3+1)-Dimensional Kadomtsev-Petviashvili Equation
    ZHANG Huan~1 TIAN Bo~(1
    CommunicationsinTheoreticalPhysics, 2008, 50 (11) : 1169 - 1176
  • [33] CONSTRUCTION OF NEW TRAVELING WAVE SOLUTIONS FOR THE (2+1) DIMENSIONAL EXTENDED KADOMTSEV-PETVIASHVILI EQUATION
    Elbrolosy, M. E.
    Elmandouh, A. A.
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2022, 12 (02): : 533 - 550
  • [34] A splitting lattice Boltzmann scheme for (2+1)-dimensional soliton solutions of the Kadomtsev-Petviashvili equation
    Wang, Boyu
    AIMS MATHEMATICS, 2023, 8 (11): : 28071 - 28089
  • [35] Construction of new soliton-like solutions for the (2+1) dimensional Kadomtsev-Petviashvili equation
    Yomba, E
    CHAOS SOLITONS & FRACTALS, 2004, 22 (02) : 321 - 325
  • [36] Periodic Wave Solutions for (2+1)-Dimensional Boussinesq Equation and (3+1)-Dimensional Kadomtsev-Petviashvili Equation
    Zhang Huan
    Tian Bo
    Zhang Hai-Qiang
    Geng Tao
    Meng Xiang-Hua
    Liu Wen-Jun
    Cai Ke-Jie
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2008, 50 (05) : 1169 - 1176
  • [37] LUMP SOLUTIONS TO THE GENERALIZED (2+1)-DIMENSIONAL B-TYPE KADOMTSEV-PETVIASHVILI EQUATION
    Cai, Benzhi
    Wang, Zhenli
    Zhang, Lihua
    Liu, Hanze
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2020, 10 (03): : 1038 - 1046
  • [38] Different wave structures and stability analysis for the generalized (2+1)-dimensional Camassa-Holm-Kadomtsev-Petviashvili equation
    Osman, M. S.
    Inc, Mustafa
    Liu, Jian-Guo
    Hossein, Kamyar
    Yusuf, Abdullahi
    PHYSICA SCRIPTA, 2020, 95 (03)
  • [39] LIE SYMMETRY AND EXACT SOLUTION OF (2+1)-DIMENSIONAL GENERALIZED KADOMTSEV-PETVIASHVILI EQUATION WITH VARIABLE COEFFICIENTS
    Ma, Hong-Cai
    Qin, Zhen-Yun
    Deng, Ai-Ping
    THERMAL SCIENCE, 2013, 17 (05): : 1490 - 1493
  • [40] Exact travelling wave solutions to the (3+1)-dimensional Kadomtsev-Petviashvili equation
    Peng, Y.-Z.
    Krishnan, E.V.
    Acta Phys Pol A, 3 (421-428):
12345