New exact periodic solitary-wave solutions for the new (3+1)-dimensional generalized Kadomtsev-Petviashvili equation in multi-temperature electron plasmas

被引:31
|
作者
Liu, Jian-Guo [1 ,2 ,3 ]
Tian, Yu [1 ]
Zeng, Zhi-Fang [4 ]
机构
[1] Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China
[2] Beijing Univ Posts & Telecommun, Sch Automat, Beijing 100876, Peoples R China
[3] Jiangxi Univ Tradit Chinese Med, Coll Comp, Nanchang 330004, Jiangxi, Peoples R China
[4] Jiangxi Vocat & Tech Coll Commun, Dept Basic, Nanchang 330013, Jiangxi, Peoples R China
来源
AIP ADVANCES | 2017年 / 7卷 / 10期
关键词
PARTIAL-DIFFERENTIAL-EQUATIONS; 3-WAVE SOLUTIONS; PAINLEVE TEST; KP; SOLITONS;
D O I
10.1063/1.4999913
中图分类号
TB3 [工程材料学];
学科分类号
0805 ; 080502 ;
摘要
In this paper, we aim to introduce a new form of the (3+1)-dimensional generalized Kadomtsev-Petviashvili equation for the long waves of small amplitude with slow dependence on the transverse coordinate. By using the Hirota's bilinear form and the extended homoclinic test approach, new exact periodic solitary-wave solutions for the new (3+1)-dimensional generalized Kadomtsev-Petviashvili equation are presented. Moreover, the properties and characteristics for these new exact periodic solitary-wave solutions are discussed with some figures. (C) 2017 Author(s).
引用
收藏
页数:14
相关论文
共 50 条
  • [31] Some lump solutions for a generalized (3+1)-dimensional Kadomtsev-Petviashvili equation
    Guan, Xue
    Liu, Wenjun
    Zhou, Qin
    Biswas, Anjan
    APPLIED MATHEMATICS AND COMPUTATION, 2020, 366
  • [32] Solitary wave solutions, lump solutions and interactional solutions to the (3+1)-dimensional generalized B-type Kadomtsev-Petviashvili equation
    Gao, Min
    Zhang, Hai-Qiang
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2020, 34 (07):
  • [33] Exact solutions of a generalized (3+1)-dimensional Kadomtsev-Petviashvili equation using Lie symmetry analysis
    Khalique, Chaudry Masood
    Adem, Abdullahi R.
    APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (10) : 2849 - 2854
  • [34] Pfaffianization of a (3+1)-dimensional generalized Kadomtsev-Petviashvili equation
    Meng, Xiang-Hua
    Xu, Xiao-Ge
    APPLIED MATHEMATICS LETTERS, 2013, 26 (06) : 612 - 616
  • [35] 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
  • [36] Two kinds of breather solitary wave and rogue wave solutions for the (3+1)-dimensional Kadomtsev-Petviashvili equation
    Xu, Zhenhui
    Chen, Hanlin
    Dai, Zhengde
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (02): : 521 - 527
  • [37] A new (3+1)-dimensional generalized Kadomtsev–Petviashvili equation
    Abdul-Majid Wazwaz
    S. A. El-Tantawy
    Nonlinear Dynamics, 2016, 84 : 1107 - 1112
  • [38] Lump Solutions for the (3+1)-Dimensional Kadomtsev-Petviashvili Equation
    Liu, De-Yin
    Tian, Bo
    Xie, Xi-Yang
    ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2016, 71 (12): : 1139 - 1141
  • [39] Two types of generalized integrable decompositions and new solitary-wave solutions for the modified Kadomtsev-Petviashvili equation with symbolic computation
    Xu, Tao
    Zhang, Hai-Qiang
    Zhang, Ya-Xing
    Li, Juan
    Feng, Qian
    Tian, Bo
    JOURNAL OF MATHEMATICAL PHYSICS, 2008, 49 (01)
  • [40] Asymptotic behavior of the periodic wave solution for the (3+1)-dimensional Kadomtsev-Petviashvili equation
    Wu, Yong-Qi
    APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (11) : 3154 - 3161