VARIATIONAL APPROACH TO FRACTAL SOLITARY WAVES-Reference-Cited by-同舟云学术

VARIATIONAL APPROACH TO FRACTAL SOLITARY WAVES

Published:2021-10-02 Issue:07 Volume:29 Page:
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

HE JI-HUAN¹²³^ORCID,HOU WEI-FAN¹,HE CHUN-HUI¹,SAEED TAREQ⁴,HAYAT TASAWAR⁴⁵

Affiliation:

1. Xi’an University of Architecture and Technology, Xi’an 710055, P. R. China

2. School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, P. R. China

3. National Engineering Laboratory for Modern Silk, College of Textile and Clothing Engineering, Soochow University, 199 Ren-Ai Road, Suzhou 215123, P. R. China

4. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

5. Department of Mathematics, Quaid-i-Azam University, Islamabad 45320, Pakistan

Abstract

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.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Geometry and Topology,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X21501991

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