Some Novel Optical Solutions for the Generalized M-Fractional Coupled NLS System

In this work, some novel optical solutions for the (1+1)-dimensional generalized M-fractional coupled nonlinear Schrödinger system (GMFCNLS) arising in ocean engineering, plasma waves, and nonlinear optics have been investigated. After utilizing a modified (G′/G,1/G)-expansion method and the G′/bG′+...

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Main Authors: Baojian Hong, Jiaxin Zhou, Xingchen Zhu, Yiting Wang
Format: Article
Language:English
Published: Wiley 2023-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2023/8283092
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author Baojian Hong
Jiaxin Zhou
Xingchen Zhu
Yiting Wang
author_facet Baojian Hong
Jiaxin Zhou
Xingchen Zhu
Yiting Wang
author_sort Baojian Hong
collection DOAJ
description In this work, some novel optical solutions for the (1+1)-dimensional generalized M-fractional coupled nonlinear Schrödinger system (GMFCNLS) arising in ocean engineering, plasma waves, and nonlinear optics have been investigated. After utilizing a modified (G′/G,1/G)-expansion method and the G′/bG′+G+a-expansion method, many types of novel optical solutions including the bell-shape soliton solutions, the blow-up solutions, the periodic wave solutions, and the mixed solitary wave solutions are obtained; if we select different values of wave velocity, coefficients, and orders, the dynamic properties and physical structures of these optical solutions are simulated and discussed, which can help us to further understand the inner structure of the system.
format Article
id doaj-art-ba42fd4808bc49e2881d76fe6c109c35
institution DOAJ
issn 2314-8888
language English
publishDate 2023-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces
spelling doaj-art-ba42fd4808bc49e2881d76fe6c109c352025-08-20T03:23:31ZengWileyJournal of Function Spaces2314-88882023-01-01202310.1155/2023/8283092Some Novel Optical Solutions for the Generalized M-Fractional Coupled NLS SystemBaojian Hong0Jiaxin Zhou1Xingchen Zhu2Yiting Wang3Faculty of Mathematical PhysicsFaculty of Energy and Power EngineeringFaculty of Energy and Power EngineeringFaculty of Electric Power EngineeringIn this work, some novel optical solutions for the (1+1)-dimensional generalized M-fractional coupled nonlinear Schrödinger system (GMFCNLS) arising in ocean engineering, plasma waves, and nonlinear optics have been investigated. After utilizing a modified (G′/G,1/G)-expansion method and the G′/bG′+G+a-expansion method, many types of novel optical solutions including the bell-shape soliton solutions, the blow-up solutions, the periodic wave solutions, and the mixed solitary wave solutions are obtained; if we select different values of wave velocity, coefficients, and orders, the dynamic properties and physical structures of these optical solutions are simulated and discussed, which can help us to further understand the inner structure of the system.http://dx.doi.org/10.1155/2023/8283092
spellingShingle Baojian Hong
Jiaxin Zhou
Xingchen Zhu
Yiting Wang
Some Novel Optical Solutions for the Generalized M-Fractional Coupled NLS System
Journal of Function Spaces
title Some Novel Optical Solutions for the Generalized M-Fractional Coupled NLS System
title_full Some Novel Optical Solutions for the Generalized M-Fractional Coupled NLS System
title_fullStr Some Novel Optical Solutions for the Generalized M-Fractional Coupled NLS System
title_full_unstemmed Some Novel Optical Solutions for the Generalized M-Fractional Coupled NLS System
title_short Some Novel Optical Solutions for the Generalized M-Fractional Coupled NLS System
title_sort some novel optical solutions for the generalized m fractional coupled nls system
url http://dx.doi.org/10.1155/2023/8283092
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AT jiaxinzhou somenovelopticalsolutionsforthegeneralizedmfractionalcouplednlssystem
AT xingchenzhu somenovelopticalsolutionsforthegeneralizedmfractionalcouplednlssystem
AT yitingwang somenovelopticalsolutionsforthegeneralizedmfractionalcouplednlssystem