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.
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页码：729 / 739
页数：11
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