Dynamic frameworks of optical soliton solutions and soliton-like formations to Schrödinger–Hirota equation with parabolic law non-linearity using a highly efficient approach

The behavior of optical soliton solutions in optical fiber theory is described by the Schrödinger–Hirota equation, a nonlinear partial differential equation with multiple applications in science and engineering. In this work, a highly effective approach for solving the Schrödinger–Hirota equation is...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Optical and quantum electronics 2023-12, Vol.55 (14), Article 1261
Hauptverfasser: Kumar, Sachin, Hamid, Ihsanullah, Abdou, M. A.
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page
container_issue 14
container_start_page
container_title Optical and quantum electronics
container_volume 55
creator Kumar, Sachin
Hamid, Ihsanullah
Abdou, M. A.
description The behavior of optical soliton solutions in optical fiber theory is described by the Schrödinger–Hirota equation, a nonlinear partial differential equation with multiple applications in science and engineering. In this work, a highly effective approach for solving the Schrödinger–Hirota equation is utilized based on the modified generalized Riccati equation mapping approach. The remarkable achievement of obtaining over one hundred plus newly-formed distinct analytical soliton solutions for the governing Schrödinger–Hirota equation is accomplished through the employment of this technique. The technique employed is characterized by its power, simplicity, and adaptiveness, enabling the extraction of various forms of soliton solutions into a unified framework. As a consequence of the applications, traveling waves, bell-shaped solitons, kink waves, and combo-multisoliton wave profiles are generated. To provide valuable insights into the behavior and characteristics of the solutions, two-dimensional, three-dimensional, and corresponding contour graphs are plotted for selected solutions. These findings contribute to the improvement of theoretical knowledge regarding the Schrödinger–Hirota equation and lay the groundwork for practical implementations. The abundant soliton solutions discovered through this method have the potential to find utility in a variety of fields, including electronics, quantum physics, and optical fibers.
doi_str_mv 10.1007/s11082-023-05461-w
format Article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2885592119</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2885592119</sourcerecordid><originalsourceid>FETCH-LOGICAL-c319t-16467ade4ae0fa69a518271c6e75b422dcf091abc2b946b9810ac8e7b19162333</originalsourceid><addsrcrecordid>eNp9kU1u1TAQxy1EJR4tF2BliXWox0mceInKRytVYgFI7KyJn924zbNT21H0dr0DF-mqF-AmnIS8FxA7ViPN_D-k-RHyGthbYKw5TwCs5QXjZcHqSkAxPyMbqBtetNB8f042rGSiaCXIF-RlSreMMVHVbEMe3-897pymNuLOzCHeJRosDWN2GgeawuBy8Ic5ZRd8oui3f7fF4O4MtSHucL3lQL_oPv582jp_Y-Kvhx-XLoaM1NxPRwmdXe7piBG7JULTAWfqj0HeYHR5T6e0WCnS3t30w54aa512xmeK4xgD6v6MnFgcknn1Z56Sbx8_fL24LK4_f7q6eHdd6BJkLkBUosGtqdAwi0JiDS1vQAvT1F3F-VZbJgE7zTtZiU62wFC3pulAguBlWZ6SN2vuUns_mZTVbZiiXyoVb9u6lhxALiq-qnQMKUVj1RjdDuNeAVMHMmoloxYy6khGzYupXE1pER8e9S_6P67fpy6Ypw</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2885592119</pqid></control><display><type>article</type><title>Dynamic frameworks of optical soliton solutions and soliton-like formations to Schrödinger–Hirota equation with parabolic law non-linearity using a highly efficient approach</title><source>Springer Nature - Complete Springer Journals</source><creator>Kumar, Sachin ; Hamid, Ihsanullah ; Abdou, M. A.</creator><creatorcontrib>Kumar, Sachin ; Hamid, Ihsanullah ; Abdou, M. A.</creatorcontrib><description>The behavior of optical soliton solutions in optical fiber theory is described by the Schrödinger–Hirota equation, a nonlinear partial differential equation with multiple applications in science and engineering. In this work, a highly effective approach for solving the Schrödinger–Hirota equation is utilized based on the modified generalized Riccati equation mapping approach. The remarkable achievement of obtaining over one hundred plus newly-formed distinct analytical soliton solutions for the governing Schrödinger–Hirota equation is accomplished through the employment of this technique. The technique employed is characterized by its power, simplicity, and adaptiveness, enabling the extraction of various forms of soliton solutions into a unified framework. As a consequence of the applications, traveling waves, bell-shaped solitons, kink waves, and combo-multisoliton wave profiles are generated. To provide valuable insights into the behavior and characteristics of the solutions, two-dimensional, three-dimensional, and corresponding contour graphs are plotted for selected solutions. These findings contribute to the improvement of theoretical knowledge regarding the Schrödinger–Hirota equation and lay the groundwork for practical implementations. The abundant soliton solutions discovered through this method have the potential to find utility in a variety of fields, including electronics, quantum physics, and optical fibers.</description><identifier>ISSN: 0306-8919</identifier><identifier>EISSN: 1572-817X</identifier><identifier>DOI: 10.1007/s11082-023-05461-w</identifier><language>eng</language><publisher>New York: Springer US</publisher><subject>Characterization and Evaluation of Materials ; Computer Communication Networks ; Electrical Engineering ; Lasers ; Nonlinear differential equations ; Optical Devices ; Optical fibers ; Optics ; Partial differential equations ; Photonics ; Physics ; Physics and Astronomy ; Quantum theory ; Riccati equation ; Solitary waves ; Traveling waves</subject><ispartof>Optical and quantum electronics, 2023-12, Vol.55 (14), Article 1261</ispartof><rights>The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c319t-16467ade4ae0fa69a518271c6e75b422dcf091abc2b946b9810ac8e7b19162333</citedby><cites>FETCH-LOGICAL-c319t-16467ade4ae0fa69a518271c6e75b422dcf091abc2b946b9810ac8e7b19162333</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s11082-023-05461-w$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s11082-023-05461-w$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27901,27902,41464,42533,51294</link.rule.ids></links><search><creatorcontrib>Kumar, Sachin</creatorcontrib><creatorcontrib>Hamid, Ihsanullah</creatorcontrib><creatorcontrib>Abdou, M. A.</creatorcontrib><title>Dynamic frameworks of optical soliton solutions and soliton-like formations to Schrödinger–Hirota equation with parabolic law non-linearity using a highly efficient approach</title><title>Optical and quantum electronics</title><addtitle>Opt Quant Electron</addtitle><description>The behavior of optical soliton solutions in optical fiber theory is described by the Schrödinger–Hirota equation, a nonlinear partial differential equation with multiple applications in science and engineering. In this work, a highly effective approach for solving the Schrödinger–Hirota equation is utilized based on the modified generalized Riccati equation mapping approach. The remarkable achievement of obtaining over one hundred plus newly-formed distinct analytical soliton solutions for the governing Schrödinger–Hirota equation is accomplished through the employment of this technique. The technique employed is characterized by its power, simplicity, and adaptiveness, enabling the extraction of various forms of soliton solutions into a unified framework. As a consequence of the applications, traveling waves, bell-shaped solitons, kink waves, and combo-multisoliton wave profiles are generated. To provide valuable insights into the behavior and characteristics of the solutions, two-dimensional, three-dimensional, and corresponding contour graphs are plotted for selected solutions. These findings contribute to the improvement of theoretical knowledge regarding the Schrödinger–Hirota equation and lay the groundwork for practical implementations. The abundant soliton solutions discovered through this method have the potential to find utility in a variety of fields, including electronics, quantum physics, and optical fibers.</description><subject>Characterization and Evaluation of Materials</subject><subject>Computer Communication Networks</subject><subject>Electrical Engineering</subject><subject>Lasers</subject><subject>Nonlinear differential equations</subject><subject>Optical Devices</subject><subject>Optical fibers</subject><subject>Optics</subject><subject>Partial differential equations</subject><subject>Photonics</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum theory</subject><subject>Riccati equation</subject><subject>Solitary waves</subject><subject>Traveling waves</subject><issn>0306-8919</issn><issn>1572-817X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><recordid>eNp9kU1u1TAQxy1EJR4tF2BliXWox0mceInKRytVYgFI7KyJn924zbNT21H0dr0DF-mqF-AmnIS8FxA7ViPN_D-k-RHyGthbYKw5TwCs5QXjZcHqSkAxPyMbqBtetNB8f042rGSiaCXIF-RlSreMMVHVbEMe3-897pymNuLOzCHeJRosDWN2GgeawuBy8Ic5ZRd8oui3f7fF4O4MtSHucL3lQL_oPv582jp_Y-Kvhx-XLoaM1NxPRwmdXe7piBG7JULTAWfqj0HeYHR5T6e0WCnS3t30w54aa512xmeK4xgD6v6MnFgcknn1Z56Sbx8_fL24LK4_f7q6eHdd6BJkLkBUosGtqdAwi0JiDS1vQAvT1F3F-VZbJgE7zTtZiU62wFC3pulAguBlWZ6SN2vuUns_mZTVbZiiXyoVb9u6lhxALiq-qnQMKUVj1RjdDuNeAVMHMmoloxYy6khGzYupXE1pER8e9S_6P67fpy6Ypw</recordid><startdate>20231201</startdate><enddate>20231201</enddate><creator>Kumar, Sachin</creator><creator>Hamid, Ihsanullah</creator><creator>Abdou, M. A.</creator><general>Springer US</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20231201</creationdate><title>Dynamic frameworks of optical soliton solutions and soliton-like formations to Schrödinger–Hirota equation with parabolic law non-linearity using a highly efficient approach</title><author>Kumar, Sachin ; Hamid, Ihsanullah ; Abdou, M. A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c319t-16467ade4ae0fa69a518271c6e75b422dcf091abc2b946b9810ac8e7b19162333</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Characterization and Evaluation of Materials</topic><topic>Computer Communication Networks</topic><topic>Electrical Engineering</topic><topic>Lasers</topic><topic>Nonlinear differential equations</topic><topic>Optical Devices</topic><topic>Optical fibers</topic><topic>Optics</topic><topic>Partial differential equations</topic><topic>Photonics</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quantum theory</topic><topic>Riccati equation</topic><topic>Solitary waves</topic><topic>Traveling waves</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Kumar, Sachin</creatorcontrib><creatorcontrib>Hamid, Ihsanullah</creatorcontrib><creatorcontrib>Abdou, M. A.</creatorcontrib><collection>CrossRef</collection><jtitle>Optical and quantum electronics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Kumar, Sachin</au><au>Hamid, Ihsanullah</au><au>Abdou, M. A.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Dynamic frameworks of optical soliton solutions and soliton-like formations to Schrödinger–Hirota equation with parabolic law non-linearity using a highly efficient approach</atitle><jtitle>Optical and quantum electronics</jtitle><stitle>Opt Quant Electron</stitle><date>2023-12-01</date><risdate>2023</risdate><volume>55</volume><issue>14</issue><artnum>1261</artnum><issn>0306-8919</issn><eissn>1572-817X</eissn><abstract>The behavior of optical soliton solutions in optical fiber theory is described by the Schrödinger–Hirota equation, a nonlinear partial differential equation with multiple applications in science and engineering. In this work, a highly effective approach for solving the Schrödinger–Hirota equation is utilized based on the modified generalized Riccati equation mapping approach. The remarkable achievement of obtaining over one hundred plus newly-formed distinct analytical soliton solutions for the governing Schrödinger–Hirota equation is accomplished through the employment of this technique. The technique employed is characterized by its power, simplicity, and adaptiveness, enabling the extraction of various forms of soliton solutions into a unified framework. As a consequence of the applications, traveling waves, bell-shaped solitons, kink waves, and combo-multisoliton wave profiles are generated. To provide valuable insights into the behavior and characteristics of the solutions, two-dimensional, three-dimensional, and corresponding contour graphs are plotted for selected solutions. These findings contribute to the improvement of theoretical knowledge regarding the Schrödinger–Hirota equation and lay the groundwork for practical implementations. The abundant soliton solutions discovered through this method have the potential to find utility in a variety of fields, including electronics, quantum physics, and optical fibers.</abstract><cop>New York</cop><pub>Springer US</pub><doi>10.1007/s11082-023-05461-w</doi></addata></record>
fulltext fulltext
identifier ISSN: 0306-8919
ispartof Optical and quantum electronics, 2023-12, Vol.55 (14), Article 1261
issn 0306-8919
1572-817X
language eng
recordid cdi_proquest_journals_2885592119
source Springer Nature - Complete Springer Journals
subjects Characterization and Evaluation of Materials
Computer Communication Networks
Electrical Engineering
Lasers
Nonlinear differential equations
Optical Devices
Optical fibers
Optics
Partial differential equations
Photonics
Physics
Physics and Astronomy
Quantum theory
Riccati equation
Solitary waves
Traveling waves
title Dynamic frameworks of optical soliton solutions and soliton-like formations to Schrödinger–Hirota equation with parabolic law non-linearity using a highly efficient approach
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-18T09%3A31%3A41IST&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=Dynamic%20frameworks%20of%20optical%20soliton%20solutions%20and%20soliton-like%20formations%20to%20Schr%C3%B6dinger%E2%80%93Hirota%20equation%20with%20parabolic%20law%20non-linearity%20using%20a%20highly%20efficient%20approach&rft.jtitle=Optical%20and%20quantum%20electronics&rft.au=Kumar,%20Sachin&rft.date=2023-12-01&rft.volume=55&rft.issue=14&rft.artnum=1261&rft.issn=0306-8919&rft.eissn=1572-817X&rft_id=info:doi/10.1007/s11082-023-05461-w&rft_dat=%3Cproquest_cross%3E2885592119%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2885592119&rft_id=info:pmid/&rfr_iscdi=true