ON THE NEW EXPLICIT SOLUTIONS OF THE FRACTIONAL NONLINEAR SPACE-TIME NUCLEAR MODEL-Reference-Cited by-同舟云学术

ON THE NEW EXPLICIT SOLUTIONS OF THE FRACTIONAL NONLINEAR SPACE-TIME NUCLEAR MODEL

Published:2020-06-25 Issue:08 Volume:28 Page:2040035
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

ABDEL-ATY ABDEL-HALEEM¹²,KHATER MOSTAFA M. A.³⁴,ATTIA RAGHDA A. M.³⁵,ABDEL-ATY M.⁶,ELEUCH HICHEM⁷⁸

Affiliation:

1. Department of Physics, College of Sciences, University of Bisha, P.O. Box 344, Bisha 61922, Saudi Arabia

2. Physics Department, Faculty of Science, Al-Azhar University, Assiut 71524, Egypt

3. Department of Mathematics, Faculty of Science, Jiangsu University, Jiangsu, P. R. China

4. Department of Mathematics, Obour Institutes, 11828 Cairo, Egypt

5. Department of Basic Science, Higher Technological Institute, 10th of Ramadan City, Egypt

6. Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt

7. College of Arts and Sciences, Abu Dhabi University, Abu Dhabi, UAE

8. Institute for Quantum Science and Engineering, Texas A&M University, College Station, TX 77843, USA

Abstract

In this research, the analytical and numerical solutions of the fractional nonlinear space-time Phi-four model are investigated by employing two systematic schemes and the B-spline schemes. A new fractional operator definition is applied to this model to convert the model from its fractional formula to an integer-order nonlinear ordinary differential equation. The considered model is of major interest for studying the nuclear interaction, elementary particles in a condensed medium, and propagation of dislocations in crystals. Explicit wave solutions are obtained.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X20400356

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