Multiple soliton solutions for (2+1)-dimensional Sawada-Kotera and Caudrey-Dodd-Gibbon equations

被引：47
|
作者：
Wazwaz, Abdul-Majid [1 ]
机构：
[1] St Xavier Univ, Dept Math, Chicago, IL 60655 USA
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2011年 / 34卷 / 13期
关键词：
SK equation; CDG equation; Hirota bilinear method; multiple soliton solutions; multiple singular soliton solutions; SHALLOW-WATER WAVES; NONLINEAR EVOLUTION EQUATION; HIROTA 3-SOLITON CONDITION; SINGULAR KINK SOLUTIONS; TANH-COTH METHOD; MODEL-EQUATIONS; KP EQUATION; BILINEAR EQUATIONS; SEARCH; FORM;
D O I：
10.1002/mma.1460
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Multiple soliton solutions for the (2+1)-dimensional Sawada-Kotera and the Caudrey-Dodd-Gibbon equations are formally derived. Moreover, multiple singular soliton solutions are obtained for each equation. The simplified form of Hirota's bilinear method is employed to conduct this analysis. Copyright (C) 2011 John Wiley & Sons, Ltd.
引用
收藏
页码：1580 / 1586
页数：7
相关论文
共 50 条
  • [41] Solitons and periodic waves for the (2 + 1)-dimensional generalized Caudrey–Dodd–Gibbon–Kotera–Sawada equation in fluid mechanics
    Gao-Fu Deng
    Yi-Tian Gao
    Jing-Jing Su
    Cui-Cui Ding
    Ting-Ting Jia
    Nonlinear Dynamics, 2020, 99 : 1039 - 1052
  • [42] Characteristics of the solitary waves and lump waves with interaction phenomena in a (2+1)-dimensional generalized Caudrey-Dodd-Gibbon-Kotera-Sawada equation
    Peng, Wei-Qi
    Tian, Shou-Fu
    Zou, Li
    Zhang, Tian-Tian
    NONLINEAR DYNAMICS, 2018, 93 (04) : 1841 - 1851
  • [43] Double Periodic Wave Solutions of the (2+1)-Dimensional Sawada-Kotera Equation
    Zhao, Zhonglong
    Zhang, Yufeng
    Xia, Tiecheng
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [44] Lump Solutions and Interaction Phenomenon for (2+1)-Dimensional Sawada-Kotera Equation
    Huang, Li-Li
    Chen, Yong
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2017, 67 (05) : 473 - 478
  • [45] New soliton solutions of conformable time fractional Caudrey-Dodd-Gibbon-Sawada-Kotera equation in modeling wave phenomena
    Ray, S. Saha
    MODERN PHYSICS LETTERS B, 2019, 33 (18):
  • [46] Symmetry Analysis and Exact Solutions of (2+1)-Dimensional Sawada-Kotera Equation
    ZHI Hong-Yan~1 ZHANG Hong-Qing~2 1 School of Mathematics and Computational Science
    CommunicationsinTheoreticalPhysics, 2008, 49 (02) : 263 - 267
  • [47] Symmetry analysis and exact solutions of (2+1)-dimensional Sawada-Kotera equation
    Zhi Hong-Yan
    Zhang Hong-Qing
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2008, 49 (02) : 263 - 267
  • [48] Lump-type solution, rogue wave, fusion and fission phenomena for the (2+1)-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada equation
    Fang, Tao
    Gao, Chun-Na
    Wang, Hui
    Wang, Yun-Hu
    MODERN PHYSICS LETTERS B, 2019, 33 (18):
  • [49] Soliton molecules and some novel mixed solutions for the extended Caudrey-Dodd-Gibbon equation
    Ma, Hongcai
    Wang, Yuxin
    Deng, Aiping
    JOURNAL OF GEOMETRY AND PHYSICS, 2021, 168
  • [50] Soliton solutions of the Caudrey-Dodd-Gibbon equation using three expansion methods and applications
    Rani, Attia
    Ashraf, Muhammad
    Ahmad, Jamshad
    Ul-Hassan, Qazi Mahmood
    OPTICAL AND QUANTUM ELECTRONICS, 2022, 54 (03)
12345