Variational approach for time-space fractal Bogoyavlenskii equation

被引：3
|
作者：
Lu, Junfeng [1 ]
Shen, Shaowei [2 ]
Chen, Lei [3 ]
机构：
[1] Zhejiang Gongshang Univ, Dept Stat, Hangzhou Coll Commerce, Hangzhou 310018, Peoples R China
[2] Zhejiang Gongshang Univ, Sch Stat & Math, Hangzhou 310018, Peoples R China
[3] Zhejiang Gongshang Univ, Dept Finance, Hangzhou Coll Commerce, Hangzhou 310018, Peoples R China
来源：
ALEXANDRIA ENGINEERING JOURNAL | 2024年 / 97卷
关键词：
Bogoyavlenskii equation; Variational approach; Fractal complex transformation; Solution; DIFFERENTIAL-EQUATIONS; DIMENSION; CALCULUS;
D O I：
10.1016/j.aej.2024.04.031
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, we apply the variational approach for solving the time-space fractal Bogoyavlenskii equation. By the two-scale fractal complex transformation, the fractal modification of Bogoyarlenskii equation is equivalently rewritten as the original Bogoyavlenskii equation. By variational principle, different type solutions including fractal bright soliton solution, fractal bright-like soliton solution, fractal kinky-bright soliton solution and fractal periodic wave solution are provided, which are not touched in the existing literature. Numerical results are presented to show the propagation behaviours.
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页码：294 / 301
页数：8
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