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A fractal modification of Chen–Lee–Liu equation and its fractal variational principle

School of Science, Xi’an University of Architecture and Technology, Xi’an, P. R. China

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

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

E-mail Address: hejihuan@suda.edu.cn

Corresponding author.

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Chun-Hui He

School of Civil Engineering, Xi’an University of Architecture and Technology, Xi’an 710055, P. R. China

E-mail Address: mathew_he@yahoo.com

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, and

Tareq Saeed

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

E-mail Address: tsalmalki@kau.edu.sa

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https://doi.org/10.1142/S0217979221502143Cited by:51 (Source: Crossref)

Abstract

The Chen–Lee–Liu equation is a modified Schrödinger equation to describe a solitary wave of ultrashort pulses in optics, which lead to a discontinuous time, so a fractal modification is suggested and a fractal variational principle is established by the semi-inverse method.

Keywords:

PACS: 05.45.Yv, 05.45.Df, 04.20.Fy

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