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Approximate Simulations for the Non-linear Long-Short Wave Interaction System

Authors :
Haiyong Qin
Mostafa M. A. Khater
Raghda A. M. Attia
Dianchen Lu
Source :
Frontiers in Physics, Vol 7 (2020)
Publication Year :
2020
Publisher :
Frontiers Media S.A., 2020.

Abstract

This research paper studies the semi-analytical and numerical solutions of the non-linear long-short wave interaction system. This represents an optical field that does not change through multiplication due to a sensitive balance being struck between linear and non-linear impacts in an elastic medium, defined as a medium that can adjust its shape as a consequence of deforming stress and return to its original form when the force is eliminated. In this medium, a wave is produced by vibrations that are a consequence of acoustic power, known as a sound wave or acoustic wave. The Adomian decomposition method and the cubic and septic B-spline methods are applied to the suggested system to obtain distinct types of solutions that are used to explain the novel physical properties of this system. These novel features are described by different types of figures that show more of the physical properties of this model. Also, the convergence between the obtained solutions is discussed through tables that show the values of absolute error between them.

Details

Language :
English
ISSN :
2296424X
Volume :
7
Database :
Directory of Open Access Journals
Journal :
Frontiers in Physics
Publication Type :
Academic Journal
Accession number :
edsdoj.3980437792b140dd91fc92677f47755b
Document Type :
article
Full Text :
https://doi.org/10.3389/fphy.2019.00230