VARIATIONAL APPROACH TO FRACTAL SOLITARY WAVES

被引：68

作者：

He, Ji-Huan ^{[1
,2
,3
]}

Hou, Wei-Fan ^{[1
]}

He, Chun-Hui ^{[1
]}

Saeed, Tareq ^{[4
]}

Hayat, Tasawar ^{[4
,5
]}

机构：

[1] Xian Univ Architecture & Technol, Xian 710055, Peoples R China

[2] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454000, Henan, Peoples R China

[3] Soochow Univ, Coll Text & Clothing Engn, Natl Engn Lab Modern Silk, 199 Ren Ai Rd, Suzhou 215123, Peoples R China

[4] King Abdulaziz Univ, Fac Sci, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah 21589, Saudi Arabia

[5] Quaid I Azam Univ, Dept Math, Islamabad 45320, Pakistan

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2021年 / 29卷 / 07期

关键词：

Soliton; Two-Scale Fractal Derivative; Fractal Complex Transform; Fractal Variational Theory; CALCULUS; EQUATION; MODEL;

D O I：

10.1142/S0218348X21501991

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The morphology of a shallow-water wave is affected by the unsmooth boundary, while its peak is rarely changed. This phenomenon cannot be explained by a differential model. This paper adopts a fractal modification of the Boussinesq equation, and its traveling solitary solution is studied through its fractal variational principle, the results reveal the basic properties of solitary waves in fractal space.

引用

页数：5

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