FRACTAL TRAVELING WAVE SOLUTIONS FOR THE FRACTAL-FRACTIONAL ABLOWITZ-KAUP-NEWELL-SEGUR MODEL

被引：15
|
作者：
Wang, Kangle [1 ]
机构：
[1] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454000, Henan, Peoples R China
来源：
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2022年 / 30卷 / 09期
关键词：
Conformable Fractional Derivative; Fractal Variational Principle; Ablowitz-Kaup-Newell-Segur Model; Fractal Traveling Wave Solution; EQUATION; DIMENSIONS;
D O I：
10.1142/S0218348X22501717
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we mainly investigate the fractal-fractional Ablowitz-Kaup-Newell-Segur model, which is used to describe the propagation of the shallow wave water with unsmooth boundaries based on the conformable fractional derivative. A simple and powerful mathematical method is established to achieve the fractal traveling wave solutions for the fractal-fractional Ablowitz-Kaup-Newell-Segur model, which is variational reduced differential wave method. Finally, the geometric and physical properties of these fractal traveling wave solutions are elaborated by a number of three-dimensional graphics. The novel mathematical method provides a new idea for studying the fractal evolution models.
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页数：9
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