Loading…
On the investigation of optical soliton solutions of cubic–quartic Fokas–Lenells and Schrödinger–Hirota equations
When it comes to third and higher-order dispersion, the Schrödinger–Hirota equation is one of the main models developed outside the classical NLSE management models for optical soliton transmission. The cubic–quartic Fokas–Lenells equation is also one of the recently developed equations, which has i...
Saved in:
Published in: | Optik (Stuttgart) 2023-02, Vol.272, p.170389, Article 170389 |
---|---|
Main Authors: | , , , , , , |
Format: | Article |
Language: | English |
Subjects: | |
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-c303t-bcfcb1e01f7fe61533ce01e20dcb9a08c9a827723c44b226d3021f8d988298763 |
---|---|
cites | cdi_FETCH-LOGICAL-c303t-bcfcb1e01f7fe61533ce01e20dcb9a08c9a827723c44b226d3021f8d988298763 |
container_end_page | |
container_issue | |
container_start_page | 170389 |
container_title | Optik (Stuttgart) |
container_volume | 272 |
creator | Ozisik, Muslum Onder, Ismail Esen, Handenur Cinar, Melih Ozdemir, Neslihan Secer, Aydin Bayram, Mustafa |
description | When it comes to third and higher-order dispersion, the Schrödinger–Hirota equation is one of the main models developed outside the classical NLSE management models for optical soliton transmission. The cubic–quartic Fokas–Lenells equation is also one of the recently developed equations, which has importance in the field of telecommunications regarding optical soliton transmission in the absence of chromatic dispersion. In this study, in order to examine the optical solitons, the Schrödinger–Hirota equation in the presence of the chromatic dispersion and the cubic–quartic Fokas–Lenells equation discarding the chromatic dispersion were investigated. For this intent, by obtaining certain soliton types using the unified Riccati equation expansion method (UREEM), optical soliton solutions were obtained for both models and graphical representations and comments were made.
By developing appropriate computer algorithms and applying UREEM in the following ways, symbolic calculation software was made and analytical optical soliton solutions were obtained.
Through computer algebra software, we plotted the obtained results via 3D, 2D views and we also illustrated the investigation of wave behavior caused by parameter change on 2D graphics.
Different soliton behavior under the parameters effect of the Schrödinger–Hirota equation having chromatic dispersion and the cubic–quartic Fokas-Lenells equation is investigated and the obtained results are reported. |
doi_str_mv | 10.1016/j.ijleo.2022.170389 |
format | article |
fullrecord | <record><control><sourceid>elsevier_cross</sourceid><recordid>TN_cdi_crossref_primary_10_1016_j_ijleo_2022_170389</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><els_id>S0030402622016473</els_id><sourcerecordid>S0030402622016473</sourcerecordid><originalsourceid>FETCH-LOGICAL-c303t-bcfcb1e01f7fe61533ce01e20dcb9a08c9a827723c44b226d3021f8d988298763</originalsourceid><addsrcrecordid>eNp9kE1OwzAQhb0AiVI4ARtfIGFsl_wsWKCKUqRKXQBry3EmrUOIi-1WsOMO3IULcBNOgtOyZjV68-Z7Gj1CLhikDFh22aam7dCmHDhPWQ6iKI_ICEBAMgGenZBT71sAyHPIR-Rt2dOwRmr6HfpgVioY21PbULsJRquOetuZEFdxbgfPD6beVkb_fHy-bpWLZ3Rmn5WPeoE9dp2nqq_pg16776_a9Ct00ZobZ4OiGJF9zBk5blTn8fxvjsnT7PZxOk8Wy7v76c0i0QJESCrd6IohsCZvMGNXQugokEOtq1JBoUtV8DznQk8mFedZLYCzpqjLouBlkWdiTMQhVzvrvcNGbpx5Ue5dMpBDYbKV-8LkUJg8FBap6wOF8bWdQSe9NthrrI1DHWRtzb_8L_9Ffa8</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>On the investigation of optical soliton solutions of cubic–quartic Fokas–Lenells and Schrödinger–Hirota equations</title><source>ScienceDirect Freedom Collection 2022-2024</source><creator>Ozisik, Muslum ; Onder, Ismail ; Esen, Handenur ; Cinar, Melih ; Ozdemir, Neslihan ; Secer, Aydin ; Bayram, Mustafa</creator><creatorcontrib>Ozisik, Muslum ; Onder, Ismail ; Esen, Handenur ; Cinar, Melih ; Ozdemir, Neslihan ; Secer, Aydin ; Bayram, Mustafa</creatorcontrib><description>When it comes to third and higher-order dispersion, the Schrödinger–Hirota equation is one of the main models developed outside the classical NLSE management models for optical soliton transmission. The cubic–quartic Fokas–Lenells equation is also one of the recently developed equations, which has importance in the field of telecommunications regarding optical soliton transmission in the absence of chromatic dispersion. In this study, in order to examine the optical solitons, the Schrödinger–Hirota equation in the presence of the chromatic dispersion and the cubic–quartic Fokas–Lenells equation discarding the chromatic dispersion were investigated. For this intent, by obtaining certain soliton types using the unified Riccati equation expansion method (UREEM), optical soliton solutions were obtained for both models and graphical representations and comments were made.
By developing appropriate computer algorithms and applying UREEM in the following ways, symbolic calculation software was made and analytical optical soliton solutions were obtained.
Through computer algebra software, we plotted the obtained results via 3D, 2D views and we also illustrated the investigation of wave behavior caused by parameter change on 2D graphics.
Different soliton behavior under the parameters effect of the Schrödinger–Hirota equation having chromatic dispersion and the cubic–quartic Fokas-Lenells equation is investigated and the obtained results are reported.</description><identifier>ISSN: 0030-4026</identifier><identifier>DOI: 10.1016/j.ijleo.2022.170389</identifier><language>eng</language><publisher>Elsevier GmbH</publisher><subject>Chromatic dispersion ; Kerr law ; Optical solitons ; The third and fourth-order dispersion ; Unified Riccati equation expansion method</subject><ispartof>Optik (Stuttgart), 2023-02, Vol.272, p.170389, Article 170389</ispartof><rights>2022 Elsevier GmbH</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c303t-bcfcb1e01f7fe61533ce01e20dcb9a08c9a827723c44b226d3021f8d988298763</citedby><cites>FETCH-LOGICAL-c303t-bcfcb1e01f7fe61533ce01e20dcb9a08c9a827723c44b226d3021f8d988298763</cites><orcidid>0000-0002-4684-3631 ; 0000-0002-8372-2441 ; 0000-0002-2994-7201</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><creatorcontrib>Ozisik, Muslum</creatorcontrib><creatorcontrib>Onder, Ismail</creatorcontrib><creatorcontrib>Esen, Handenur</creatorcontrib><creatorcontrib>Cinar, Melih</creatorcontrib><creatorcontrib>Ozdemir, Neslihan</creatorcontrib><creatorcontrib>Secer, Aydin</creatorcontrib><creatorcontrib>Bayram, Mustafa</creatorcontrib><title>On the investigation of optical soliton solutions of cubic–quartic Fokas–Lenells and Schrödinger–Hirota equations</title><title>Optik (Stuttgart)</title><description>When it comes to third and higher-order dispersion, the Schrödinger–Hirota equation is one of the main models developed outside the classical NLSE management models for optical soliton transmission. The cubic–quartic Fokas–Lenells equation is also one of the recently developed equations, which has importance in the field of telecommunications regarding optical soliton transmission in the absence of chromatic dispersion. In this study, in order to examine the optical solitons, the Schrödinger–Hirota equation in the presence of the chromatic dispersion and the cubic–quartic Fokas–Lenells equation discarding the chromatic dispersion were investigated. For this intent, by obtaining certain soliton types using the unified Riccati equation expansion method (UREEM), optical soliton solutions were obtained for both models and graphical representations and comments were made.
By developing appropriate computer algorithms and applying UREEM in the following ways, symbolic calculation software was made and analytical optical soliton solutions were obtained.
Through computer algebra software, we plotted the obtained results via 3D, 2D views and we also illustrated the investigation of wave behavior caused by parameter change on 2D graphics.
Different soliton behavior under the parameters effect of the Schrödinger–Hirota equation having chromatic dispersion and the cubic–quartic Fokas-Lenells equation is investigated and the obtained results are reported.</description><subject>Chromatic dispersion</subject><subject>Kerr law</subject><subject>Optical solitons</subject><subject>The third and fourth-order dispersion</subject><subject>Unified Riccati equation expansion method</subject><issn>0030-4026</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><recordid>eNp9kE1OwzAQhb0AiVI4ARtfIGFsl_wsWKCKUqRKXQBry3EmrUOIi-1WsOMO3IULcBNOgtOyZjV68-Z7Gj1CLhikDFh22aam7dCmHDhPWQ6iKI_ICEBAMgGenZBT71sAyHPIR-Rt2dOwRmr6HfpgVioY21PbULsJRquOetuZEFdxbgfPD6beVkb_fHy-bpWLZ3Rmn5WPeoE9dp2nqq_pg16776_a9Ct00ZobZ4OiGJF9zBk5blTn8fxvjsnT7PZxOk8Wy7v76c0i0QJESCrd6IohsCZvMGNXQugokEOtq1JBoUtV8DznQk8mFedZLYCzpqjLouBlkWdiTMQhVzvrvcNGbpx5Ue5dMpBDYbKV-8LkUJg8FBap6wOF8bWdQSe9NthrrI1DHWRtzb_8L_9Ffa8</recordid><startdate>202302</startdate><enddate>202302</enddate><creator>Ozisik, Muslum</creator><creator>Onder, Ismail</creator><creator>Esen, Handenur</creator><creator>Cinar, Melih</creator><creator>Ozdemir, Neslihan</creator><creator>Secer, Aydin</creator><creator>Bayram, Mustafa</creator><general>Elsevier GmbH</general><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0002-4684-3631</orcidid><orcidid>https://orcid.org/0000-0002-8372-2441</orcidid><orcidid>https://orcid.org/0000-0002-2994-7201</orcidid></search><sort><creationdate>202302</creationdate><title>On the investigation of optical soliton solutions of cubic–quartic Fokas–Lenells and Schrödinger–Hirota equations</title><author>Ozisik, Muslum ; Onder, Ismail ; Esen, Handenur ; Cinar, Melih ; Ozdemir, Neslihan ; Secer, Aydin ; Bayram, Mustafa</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c303t-bcfcb1e01f7fe61533ce01e20dcb9a08c9a827723c44b226d3021f8d988298763</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Chromatic dispersion</topic><topic>Kerr law</topic><topic>Optical solitons</topic><topic>The third and fourth-order dispersion</topic><topic>Unified Riccati equation expansion method</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Ozisik, Muslum</creatorcontrib><creatorcontrib>Onder, Ismail</creatorcontrib><creatorcontrib>Esen, Handenur</creatorcontrib><creatorcontrib>Cinar, Melih</creatorcontrib><creatorcontrib>Ozdemir, Neslihan</creatorcontrib><creatorcontrib>Secer, Aydin</creatorcontrib><creatorcontrib>Bayram, Mustafa</creatorcontrib><collection>CrossRef</collection><jtitle>Optik (Stuttgart)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Ozisik, Muslum</au><au>Onder, Ismail</au><au>Esen, Handenur</au><au>Cinar, Melih</au><au>Ozdemir, Neslihan</au><au>Secer, Aydin</au><au>Bayram, Mustafa</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On the investigation of optical soliton solutions of cubic–quartic Fokas–Lenells and Schrödinger–Hirota equations</atitle><jtitle>Optik (Stuttgart)</jtitle><date>2023-02</date><risdate>2023</risdate><volume>272</volume><spage>170389</spage><pages>170389-</pages><artnum>170389</artnum><issn>0030-4026</issn><abstract>When it comes to third and higher-order dispersion, the Schrödinger–Hirota equation is one of the main models developed outside the classical NLSE management models for optical soliton transmission. The cubic–quartic Fokas–Lenells equation is also one of the recently developed equations, which has importance in the field of telecommunications regarding optical soliton transmission in the absence of chromatic dispersion. In this study, in order to examine the optical solitons, the Schrödinger–Hirota equation in the presence of the chromatic dispersion and the cubic–quartic Fokas–Lenells equation discarding the chromatic dispersion were investigated. For this intent, by obtaining certain soliton types using the unified Riccati equation expansion method (UREEM), optical soliton solutions were obtained for both models and graphical representations and comments were made.
By developing appropriate computer algorithms and applying UREEM in the following ways, symbolic calculation software was made and analytical optical soliton solutions were obtained.
Through computer algebra software, we plotted the obtained results via 3D, 2D views and we also illustrated the investigation of wave behavior caused by parameter change on 2D graphics.
Different soliton behavior under the parameters effect of the Schrödinger–Hirota equation having chromatic dispersion and the cubic–quartic Fokas-Lenells equation is investigated and the obtained results are reported.</abstract><pub>Elsevier GmbH</pub><doi>10.1016/j.ijleo.2022.170389</doi><orcidid>https://orcid.org/0000-0002-4684-3631</orcidid><orcidid>https://orcid.org/0000-0002-8372-2441</orcidid><orcidid>https://orcid.org/0000-0002-2994-7201</orcidid></addata></record> |
fulltext | fulltext |
identifier | ISSN: 0030-4026 |
ispartof | Optik (Stuttgart), 2023-02, Vol.272, p.170389, Article 170389 |
issn | 0030-4026 |
language | eng |
recordid | cdi_crossref_primary_10_1016_j_ijleo_2022_170389 |
source | ScienceDirect Freedom Collection 2022-2024 |
subjects | Chromatic dispersion Kerr law Optical solitons The third and fourth-order dispersion Unified Riccati equation expansion method |
title | On the investigation of optical soliton solutions of cubic–quartic Fokas–Lenells and Schrödinger–Hirota equations |
url | http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-06T07%3A43%3A16IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-elsevier_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=On%20the%20investigation%20of%20optical%20soliton%20solutions%20of%20cubic%E2%80%93quartic%20Fokas%E2%80%93Lenells%20and%20Schr%C3%B6dinger%E2%80%93Hirota%20equations&rft.jtitle=Optik%20(Stuttgart)&rft.au=Ozisik,%20Muslum&rft.date=2023-02&rft.volume=272&rft.spage=170389&rft.pages=170389-&rft.artnum=170389&rft.issn=0030-4026&rft_id=info:doi/10.1016/j.ijleo.2022.170389&rft_dat=%3Celsevier_cross%3ES0030402622016473%3C/elsevier_cross%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c303t-bcfcb1e01f7fe61533ce01e20dcb9a08c9a827723c44b226d3021f8d988298763%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true |