Solutions of the KdV-MKdV equations arising in non-linear elastic rods under fractal dimension-Reference-Cited by-同舟云学术

Solutions of the KdV-MKdV equations arising in non-linear elastic rods under fractal dimension

Published:2024 Issue:3 Part A Volume:28 Page:2125-2133
ISSN:0354-9836
Container-title:Thermal Science
language:en
Short-container-title:Therm sci

Author:

Shang Chu-Han¹,Yi Huai-An¹

Affiliation:

1. Key Laboratory of Advanced Manufacturing and Automation Technology, Guilin University of Technology, Education Department of Guangxi Zhuang Autonomous Region, Guilin, China + College of Mechanical and Control Engineering, Guilin University of Technology, Guilin, China

Abstract

A prediction of rod wave type with great precision is extremely important in theoretical analysis and practical applications. Besides the well-known periodic motion and resonance, this paper studies the rod wave in a fractal space, and a fractal solitary wave is unlocked by the variational approach, the results reveal that the rod strain non-linearity and fractal dimensions affect greatly the wave travelling properties. This paper offers a new window for identifying a solitary wave from periodic motion easily and accurately.

Publisher

National Library of Serbia

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