MULTIWAVE SOLUTIONS TO THE NEGATIVE-ORDER KDV EQUATION IN (3+1)-DIMENSIONS

被引：0
|
作者：
Kang, Zhou-Zheng [1 ,2 ]
Xia, Tie-Cheng [1 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
[2] Inner Mongolia Univ Nationalities, Coll Math, Tongliao 028043, Peoples R China
来源：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2020年 / 10卷 / 02期
关键词：
Negative-order KdV equation; three-wave methods; multiwave solutions; KADOMTSEV-PETVIASHVILI EQUATION; NONLINEAR SCHRODINGER-EQUATION; VARIABLE SEPARATION APPROACH; LIE SYMMETRY ANALYSIS; SOLITON-SOLUTIONS; DARBOUX TRANSFORMATION; CONSERVATION-LAWS; BREATHER-TYPE; WAVES; INTEGRABILITY;
D O I：
10.11948/20190128
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This work aims to study the negative-order KdV equation in (3+1)-dimensions which is developed via using the recursion operator of the KdV equation by employing the three-wave methods. As a consequence, a variety of novel multiwave solutions with several arbitrary parameters to the considered equation are presented. Moreover, selecting particular values for the parameters, some graphs are plotted to show the spatial structures and dynamics of the resulting solutions. These results enrich the variety of the dynamics in the field of nonlinear waves.
引用
收藏
页码：729 / 739
页数：11
相关论文
共 50 条
  • [31] Negative-order integrable modified KdV equations of higher orders
    Wazwaz, Abdul-Majid
    NONLINEAR DYNAMICS, 2018, 93 (03) : 1371 - 1376
  • [32] Breather and multiwave solutions to an extended (3+1)-dimensional Jimbo-Miwa-like equation
    Chen, Wenxia
    Tang, Liangping
    Tian, Lixin
    Yang, Xiyan
    APPLIED MATHEMATICS LETTERS, 2023, 145
  • [33] ABUNDANT MULTIWAVE SOLUTIONS TO THE (3+1)-DIMENSIONAL SHARMA-TASSO-OLVER-LIKE EQUATION
    Kang, Zhou-Zheng
    Xia, Tie-Cheng
    Ma, Wen-Xiu
    PROCEEDINGS OF THE ROMANIAN ACADEMY SERIES A-MATHEMATICS PHYSICS TECHNICAL SCIENCES INFORMATION SCIENCE, 2019, 20 (02): : 114 - 121
  • [34] Negative-order integrable modified KdV equations of higher orders
    Abdul-Majid Wazwaz
    Nonlinear Dynamics, 2018, 93 : 1371 - 1376
  • [35] Exact solutions and bifurcations for the (3+1)-dimensional generalized KdV-ZK equation
    Song, Yunjia
    Ma, Yanzhi
    Yang, Ben
    Wang, Zenggui
    PHYSICA SCRIPTA, 2024, 99 (07)
  • [36] New (3+1)-dimensional conformable KdV equation and its analytical and numerical solutions
    Senol, Mehmet
    Gencyigit, Mehmet
    Ntiamoah, Daniel
    Akinyemi, Lanre
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2024, 38 (04):
  • [37] Binary Darboux transformation for a negative-order AKNS equation
    Z. Amjad
    D. Khan
    Theoretical and Mathematical Physics, 2021, 206 : 128 - 141
  • [38] DARBOUX TRANSFORMATION AND VARIOUS SOLUTIONS FOR A NONLINEAR EVOLUTION EQUATION IN (3+1)-DIMENSIONS
    Zhaqilao
    Li, Zhi-Bin
    MODERN PHYSICS LETTERS B, 2008, 22 (30): : 2945 - 2966
  • [39] A quest for the integrable equation in 3+1 dimensions
    Song-Ju, Y
    Toda, K
    Fukuyama, T
    THEORETICAL AND MATHEMATICAL PHYSICS, 2000, 122 (02) : 256 - 259
  • [40] ON THE DIRAC-EQUATION IN 3+1 DIMENSIONS
    ORD, GN
    MCKEON, DGC
    ANNALS OF PHYSICS, 1993, 222 (02) : 244 - 253
12345