Dynamics of optical solitons and nonautonomous complex wave solutions to the nonlinear Schrodinger equation with variable coefficients

Variable coefficients nonlinear evolution equations offer us with more real aspects in the inhomogeneities of media and nonuniformities of boundaries than their counter constant coefficients in some real-world problems. Under consideration is a nonlinear variable coefficients Schrödinger’s equation...

Full description

Saved in:
Bibliographic Details
Published in:Nonlinear dynamics 2021-03, Vol.104 (1), p.639-648
Main Authors: Sulaiman, Tukur Abdulkadir, Yusuf, Abdullahi, Alquran, Marwan
Format: Article
Language:English
Subjects:
Automotive Engineering
Classical Mechanics
Coefficients
Control
Dynamical Systems
Engineering
Mechanical Engineering
Nonlinear equations
Nonlinear evolution equations
Original Paper
Schrodinger equation
Solitary waves
Vibration
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by cdi_FETCH-LOGICAL-c319t-c64304b1aee979cb5c8027875efdd9d6476b00b4e99c84b5a0f63aefb9782c8f3
cites cdi_FETCH-LOGICAL-c319t-c64304b1aee979cb5c8027875efdd9d6476b00b4e99c84b5a0f63aefb9782c8f3
container_end_page 648
container_issue 1
container_start_page 639
container_title Nonlinear dynamics
container_volume 104
creator Sulaiman, Tukur Abdulkadir
Yusuf, Abdullahi
Alquran, Marwan
description Variable coefficients nonlinear evolution equations offer us with more real aspects in the inhomogeneities of media and nonuniformities of boundaries than their counter constant coefficients in some real-world problems. Under consideration is a nonlinear variable coefficients Schrödinger’s equation with spatio-temporal dispersion in the Kerr law media. We are aimed at constructing novel solutions to the equation under consideration. Bright and combined dark–bright optical solitons are successfully revealed with aid of the complex amplitude ansatz scheme. Using two test functions, two nonautonomous complex wave solutions in dark and bright optical solitons forms are successfully revealed. The effect of the variable coefficients on the reported results can be clearly seen on the 3-dimensional and contour graphs.
doi_str_mv 10.1007/s11071-021-06284-8
format article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2518557756</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2518557756</sourcerecordid><originalsourceid>FETCH-LOGICAL-c319t-c64304b1aee979cb5c8027875efdd9d6476b00b4e99c84b5a0f63aefb9782c8f3</originalsourceid><addsrcrecordid>eNp9kMtqHDEQRYWJIZNJfiArgddtl9QPSUtjO4nBkEUcmJ1Qq0seDT3SWFL78QP-7nRnAt5lIQrBubeoQ8hXBucMQFxkxkCwCvj8Oi6bSp6QFWtFXfFObT6QFSjeVKBg85F8ynkHADUHuSJv16_B7L3NNDoaD8VbM9IcR19iyNSEgYYYzDT_4j5Omdq4P4z4Qp_NEy7cVPwClkjLFhd29AFNor_sNsXBhwdMFB8ns2D02ZctfTLJm37EuQqd89ZjKPkzOXVmzPjl31yT399u7q9-VHc_v99eXd5VtmaqVLZramh6ZhCVULZvrQQupGjRDYMaukZ0PUDfoFJWNn1rwHW1QdcrIbmVrl6Ts2PvIcXHCXPRuzilMK_UvGWybYVou5niR8qmmHNCpw_J70161Qz04lsffevZt_7rW8s5VB9DeYaXu9-r_5P6A5Buh4Y</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2518557756</pqid></control><display><type>article</type><title>Dynamics of optical solitons and nonautonomous complex wave solutions to the nonlinear Schrodinger equation with variable coefficients</title><source>Springer Nature</source><creator>Sulaiman, Tukur Abdulkadir ; Yusuf, Abdullahi ; Alquran, Marwan</creator><creatorcontrib>Sulaiman, Tukur Abdulkadir ; Yusuf, Abdullahi ; Alquran, Marwan</creatorcontrib><description>Variable coefficients nonlinear evolution equations offer us with more real aspects in the inhomogeneities of media and nonuniformities of boundaries than their counter constant coefficients in some real-world problems. Under consideration is a nonlinear variable coefficients Schrödinger’s equation with spatio-temporal dispersion in the Kerr law media. We are aimed at constructing novel solutions to the equation under consideration. Bright and combined dark–bright optical solitons are successfully revealed with aid of the complex amplitude ansatz scheme. Using two test functions, two nonautonomous complex wave solutions in dark and bright optical solitons forms are successfully revealed. The effect of the variable coefficients on the reported results can be clearly seen on the 3-dimensional and contour graphs.</description><identifier>ISSN: 0924-090X</identifier><identifier>EISSN: 1573-269X</identifier><identifier>DOI: 10.1007/s11071-021-06284-8</identifier><language>eng</language><publisher>Dordrecht: Springer Netherlands</publisher><subject>Automotive Engineering ; Classical Mechanics ; Coefficients ; Control ; Dynamical Systems ; Engineering ; Mechanical Engineering ; Nonlinear equations ; Nonlinear evolution equations ; Original Paper ; Schrodinger equation ; Solitary waves ; Vibration</subject><ispartof>Nonlinear dynamics, 2021-03, Vol.104 (1), p.639-648</ispartof><rights>The Author(s), under exclusive licence to Springer Nature B.V. part of Springer Nature 2021</rights><rights>The Author(s), under exclusive licence to Springer Nature B.V. part of Springer Nature 2021.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c319t-c64304b1aee979cb5c8027875efdd9d6476b00b4e99c84b5a0f63aefb9782c8f3</citedby><cites>FETCH-LOGICAL-c319t-c64304b1aee979cb5c8027875efdd9d6476b00b4e99c84b5a0f63aefb9782c8f3</cites><orcidid>0000-0003-3901-9270</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,778,782,27907,27908</link.rule.ids></links><search><creatorcontrib>Sulaiman, Tukur Abdulkadir</creatorcontrib><creatorcontrib>Yusuf, Abdullahi</creatorcontrib><creatorcontrib>Alquran, Marwan</creatorcontrib><title>Dynamics of optical solitons and nonautonomous complex wave solutions to the nonlinear Schrodinger equation with variable coefficients</title><title>Nonlinear dynamics</title><addtitle>Nonlinear Dyn</addtitle><description>Variable coefficients nonlinear evolution equations offer us with more real aspects in the inhomogeneities of media and nonuniformities of boundaries than their counter constant coefficients in some real-world problems. Under consideration is a nonlinear variable coefficients Schrödinger’s equation with spatio-temporal dispersion in the Kerr law media. We are aimed at constructing novel solutions to the equation under consideration. Bright and combined dark–bright optical solitons are successfully revealed with aid of the complex amplitude ansatz scheme. Using two test functions, two nonautonomous complex wave solutions in dark and bright optical solitons forms are successfully revealed. The effect of the variable coefficients on the reported results can be clearly seen on the 3-dimensional and contour graphs.</description><subject>Automotive Engineering</subject><subject>Classical Mechanics</subject><subject>Coefficients</subject><subject>Control</subject><subject>Dynamical Systems</subject><subject>Engineering</subject><subject>Mechanical Engineering</subject><subject>Nonlinear equations</subject><subject>Nonlinear evolution equations</subject><subject>Original Paper</subject><subject>Schrodinger equation</subject><subject>Solitary waves</subject><subject>Vibration</subject><issn>0924-090X</issn><issn>1573-269X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><recordid>eNp9kMtqHDEQRYWJIZNJfiArgddtl9QPSUtjO4nBkEUcmJ1Qq0seDT3SWFL78QP-7nRnAt5lIQrBubeoQ8hXBucMQFxkxkCwCvj8Oi6bSp6QFWtFXfFObT6QFSjeVKBg85F8ynkHADUHuSJv16_B7L3NNDoaD8VbM9IcR19iyNSEgYYYzDT_4j5Omdq4P4z4Qp_NEy7cVPwClkjLFhd29AFNor_sNsXBhwdMFB8ns2D02ZctfTLJm37EuQqd89ZjKPkzOXVmzPjl31yT399u7q9-VHc_v99eXd5VtmaqVLZramh6ZhCVULZvrQQupGjRDYMaukZ0PUDfoFJWNn1rwHW1QdcrIbmVrl6Ts2PvIcXHCXPRuzilMK_UvGWybYVou5niR8qmmHNCpw_J70161Qz04lsffevZt_7rW8s5VB9DeYaXu9-r_5P6A5Buh4Y</recordid><startdate>20210301</startdate><enddate>20210301</enddate><creator>Sulaiman, Tukur Abdulkadir</creator><creator>Yusuf, Abdullahi</creator><creator>Alquran, Marwan</creator><general>Springer Netherlands</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>AFKRA</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><orcidid>https://orcid.org/0000-0003-3901-9270</orcidid></search><sort><creationdate>20210301</creationdate><title>Dynamics of optical solitons and nonautonomous complex wave solutions to the nonlinear Schrodinger equation with variable coefficients</title><author>Sulaiman, Tukur Abdulkadir ; Yusuf, Abdullahi ; Alquran, Marwan</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c319t-c64304b1aee979cb5c8027875efdd9d6476b00b4e99c84b5a0f63aefb9782c8f3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Automotive Engineering</topic><topic>Classical Mechanics</topic><topic>Coefficients</topic><topic>Control</topic><topic>Dynamical Systems</topic><topic>Engineering</topic><topic>Mechanical Engineering</topic><topic>Nonlinear equations</topic><topic>Nonlinear evolution equations</topic><topic>Original Paper</topic><topic>Schrodinger equation</topic><topic>Solitary waves</topic><topic>Vibration</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Sulaiman, Tukur Abdulkadir</creatorcontrib><creatorcontrib>Yusuf, Abdullahi</creatorcontrib><creatorcontrib>Alquran, Marwan</creatorcontrib><collection>CrossRef</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science &amp; Engineering Collection</collection><collection>ProQuest Central</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering collection</collection><jtitle>Nonlinear dynamics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Sulaiman, Tukur Abdulkadir</au><au>Yusuf, Abdullahi</au><au>Alquran, Marwan</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Dynamics of optical solitons and nonautonomous complex wave solutions to the nonlinear Schrodinger equation with variable coefficients</atitle><jtitle>Nonlinear dynamics</jtitle><stitle>Nonlinear Dyn</stitle><date>2021-03-01</date><risdate>2021</risdate><volume>104</volume><issue>1</issue><spage>639</spage><epage>648</epage><pages>639-648</pages><issn>0924-090X</issn><eissn>1573-269X</eissn><abstract>Variable coefficients nonlinear evolution equations offer us with more real aspects in the inhomogeneities of media and nonuniformities of boundaries than their counter constant coefficients in some real-world problems. Under consideration is a nonlinear variable coefficients Schrödinger’s equation with spatio-temporal dispersion in the Kerr law media. We are aimed at constructing novel solutions to the equation under consideration. Bright and combined dark–bright optical solitons are successfully revealed with aid of the complex amplitude ansatz scheme. Using two test functions, two nonautonomous complex wave solutions in dark and bright optical solitons forms are successfully revealed. The effect of the variable coefficients on the reported results can be clearly seen on the 3-dimensional and contour graphs.</abstract><cop>Dordrecht</cop><pub>Springer Netherlands</pub><doi>10.1007/s11071-021-06284-8</doi><tpages>10</tpages><orcidid>https://orcid.org/0000-0003-3901-9270</orcidid></addata></record>
fulltext fulltext
identifier ISSN: 0924-090X
ispartof Nonlinear dynamics, 2021-03, Vol.104 (1), p.639-648
issn 0924-090X
1573-269X
language eng
recordid cdi_proquest_journals_2518557756
source Springer Nature
subjects Automotive Engineering
Classical Mechanics
Coefficients
Control
Dynamical Systems
Engineering
Mechanical Engineering
Nonlinear equations
Nonlinear evolution equations
Original Paper
Schrodinger equation
Solitary waves
Vibration
title Dynamics of optical solitons and nonautonomous complex wave solutions to the nonlinear Schrodinger equation with variable coefficients
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-16T10%3A13%3A44IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Dynamics%20of%20optical%20solitons%20and%20nonautonomous%20complex%20wave%20solutions%20to%20the%20nonlinear%20Schrodinger%20equation%20with%20variable%20coefficients&rft.jtitle=Nonlinear%20dynamics&rft.au=Sulaiman,%20Tukur%20Abdulkadir&rft.date=2021-03-01&rft.volume=104&rft.issue=1&rft.spage=639&rft.epage=648&rft.pages=639-648&rft.issn=0924-090X&rft.eissn=1573-269X&rft_id=info:doi/10.1007/s11071-021-06284-8&rft_dat=%3Cproquest_cross%3E2518557756%3C/proquest_cross%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c319t-c64304b1aee979cb5c8027875efdd9d6476b00b4e99c84b5a0f63aefb9782c8f3%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=2518557756&rft_id=info:pmid/&rfr_iscdi=true