A variety of distinct kinds of multiple soliton solutions for a (3?+?1)-dimensional nonlinear evolution equation

被引：41
|
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 | 2013年 / 36卷 / 03期
关键词：
multiple soliton solutions; simplified Hirota's method; resonance; HIROTA 3-SOLITON CONDITION; BILINEAR EQUATIONS; FORM; SEARCH; WAVES;
D O I：
10.1002/mma.2600
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, a variety of distinct kinds of multiple soliton solutions is derived for a ( 3?+?1)-dimensional nonlinear evolution equation. The simplified form of the Hirota's method is used to derive this set of distinct kinds of multiple soliton solutions. The coefficients of the spatial variables play a major role in the existence of this variety of multiple soliton solutions for the same equation. The resonance phenomenon is investigated as well. Copyright (c) 2012 John Wiley & Sons, Ltd.
引用
收藏
页码：349 / 357
页数：9
相关论文
共 50 条
  • [21] New families of soliton solutions for the (2 + 1)-dimensional nonlinear evolution equation arising in nonlinear optics
    Ali K.K.
    Omri M.
    Mehanna M.S.
    Besbes H.
    Abdel-Aty A.-H.
    Alexandria Engineering Journal, 2023, 68 : 733 - 745
  • [22] Bäcklund transformation, multiple wave solutions and lump solutions to a (3 + 1)-dimensional nonlinear evolution equation
    Li-Na Gao
    Yao-Yao Zi
    Yu-Hang Yin
    Wen-Xiu Ma
    Xing Lü
    Nonlinear Dynamics, 2017, 89 : 2233 - 2240
  • [23] Backlund transformation, multiple wave solutions and lump solutions to a (3+1)-dimensional nonlinear evolution equation
    Gao, Li-Na
    Zi, Yao-Yao
    Yin, Yu-Hang
    Ma, Wen-Xiu
    Lu, Xing
    NONLINEAR DYNAMICS, 2017, 89 (03) : 2233 - 2240
  • [24] Multiple soliton, M-lump and interaction solutions to the (3+1)-dimensional soliton equation
    Ismael, Hajar F.
    Sulaiman, Tukur Abdulkadir
    Nabi, Harivan R.
    Shah, Nehad Ali
    Botmart, Thongchai
    RESULTS IN PHYSICS, 2023, 45
  • [25] Gaussian soliton solutions to a variety of nonlinear logarithmic Schrodinger equation
    Wazwaz, Abdul-Majid
    El-Tantawy, S. A.
    JOURNAL OF ELECTROMAGNETIC WAVES AND APPLICATIONS, 2016, 30 (14) : 1909 - 1917
  • [26] Rational solutions for a (3+1)-dimensional nonlinear evolution equation
    Wang, Xin
    Wei, Jiao
    Geng, Xianguo
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2020, 83
  • [27] Antidark solitons and soliton molecules in a (3+1)-dimensional nonlinear evolution equation
    Wang, Xin
    Wei, Jiao
    NONLINEAR DYNAMICS, 2020, 102 (01) : 363 - 377
  • [28] Novel soliton molecules and wave interactions for a (3 + 1)-dimensional nonlinear evolution equation
    Xiao-yan Tang
    Chao-jie Cui
    Zu-feng Liang
    Wei Ding
    Nonlinear Dynamics, 2021, 105 : 2549 - 2557
  • [29] A Generalized Hirota Ansatz to Obtain Soliton-Like Solutions for a (3+1)-Dimensional Nonlinear Evolution Equation
    Wu Jian-Ping
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2011, 56 (02) : 297 - 300
  • [30] Investigation of the intricate dynamics and a variety of hybrid soliton, solutions of the (3+1)-dimensional Boussinesq equation
    Albalawi, Kholoud Saad
    Alkahtani, Badr Saad T.
    Rahman, Mati ur
    Goswami, Pranay
    RESULTS IN PHYSICS, 2024, 56
12345