Infinite conservation laws and new solutions of (3+1)-dimensional generalized Konopelchenko-Dubrovsky-Kaup-Kupershmidt equation

被引：7
|
作者：
Zhang, Shi-Jie [1 ]
Bao, Taogetusang [1 ]
机构：
[1] Inner Mongolia Normal Univ, Coll Math Sci, Ctr Appl Math Inner Mongolia, Hohhot 010022, Peoples R China
来源：
INTERNATIONAL JOURNAL OF MODERN PHYSICS B | 2022年 / 36卷 / 16期
基金：
中国国家自然科学基金;
关键词：
(3+1)-dimensional gKDKK equation; bell polynomials theory; bilinear Backlund transformation; infinite conservation laws; variable separation method; BACKLUND TRANSFORMATION; DARBOUX TRANSFORMATION; SOLITON-SOLUTIONS; WAVE SOLUTIONS; MULTISOLITON SOLUTIONS; BELL POLYNOMIALS; FLUID-MECHANICS; OCEAN DYNAMICS; LATTICE;
D O I：
10.1142/S0217979222500825
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
In this paper, a (3+1)-dimensional generalized Konopelchenko-Dubrovsky-Kaup-Kupershmidt equation (gKDKK) is investigated. Based on Bell polynomial theory, the bilinear form, Bilinear Backlund transformation, Lax pair and infinite conservation laws of the equation are obtained. Lump solution and half periodic kink solution are obtained by combining the test function with bilinear form. Furthermore, with the help of the variable separation method, we obtain some new compound solutions composed of exponential function, trigonometric function, hyperbolic function, rational function and Jacobi elliptic function in various forms. Using computer software to draw the three-dimensional diagram and profile of the solutions, the dynamic properties of the solutions are analyzed.
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页数：14
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