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      Investigation of optical solitons to the nonlinear complex Kundu–Eckhaus and Zakharov–Kuznetsov–Benjamin–Bona–Mahony equations in conformable

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          Abstract

          This research manuscript focuses on the extraction of dark-bright solitons and periodic wave distributions of two models, namely, the Zakharov–Kuznetsov–Benjamin–Bona–Mahony equation and complex Kundu–Eckhaus equation with conformable derivative. To reach these important properties, the generalized exponential rational function method is considered. To observe wave distributions in periodic and singular sense, dynamical behaviour modulus of solutions are also archived. Strain conditions for validity of results obtained in this paper are also reported.

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          A new definition of fractional derivative

          R. Khalil, M. Al Horani, A. Yousef … (2014)
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            Modeling the dynamics of novel coronavirus (2019-nCov) with fractional derivative

            Muhammad Khan, Abdon Atangana (2020)
            The present paper describes the mathematical modeling and dynamics of a novel corona virus (2019-nCoV). We describe the brief details of interaction among the bats and unknown hosts, then among the peoples and the infections reservoir (seafood market). The seafood marked are considered the main source of infection when the bats and the unknown hosts (may be wild animals) leaves the infection there. The purchasing of items from the seafood market by peoples have the ability to infect either asymptomatically or symptomatically. We reduced the model with the assumptions that the seafood market has enough source of infection that can be effective to infect people. We present the mathematical results of the model and then formulate a fractional model. We consider the available infection cases for January 21, 2020, till January 28, 2020 and parameterized the model. We compute the basic reproduction number for the data is R 0 ≈ 2.4829 . The fractional model is then solved numerically by presenting many graphical results, which can be helpful for the infection minimization.
            Article 0 comments Cited 303 times – based on 0 reviews     Review now
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              Extended tanh-function method and its applications to nonlinear equations

              Engui Fan (2000)
              Article 0 comments Cited 250 times – based on 0 reviews     Review now
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                Author and article information

                Contributors
                Haci Mehmet Baskonus:
                ORCID: http://orcid.org/0000-0003-4085-3625
                hmbaskonus@gmail.com
                Wei Gao: gaowei@ynnu.edu.cn
                Journal
                Journal ID (nlm-ta): Opt Quantum Electron
                Journal ID (iso-abbrev): Opt Quantum Electron
                Title: Optical and Quantum Electronics
                Publisher: Springer US (New York )
                ISSN (Print): 0306-8919
                ISSN (Electronic): 1572-817X
                Publication date (Electronic): 5 June 2022
                Publication date (Print): 2022
                Volume: 54
                Issue: 6
                Electronic Location Identifier: 388
                Affiliations
                [1 ]GRID grid.411999.d, ISNI 0000 0004 0595 7821, Faculty of Education, Department of Mathematics and Science Education, , Harran University, ; Sanliurfa, Turkey
                [2 ]GRID grid.410739.8, ISNI 0000 0001 0723 6903, School of Information Science and Technology, , Yunnan Normal University, ; Yunnan, China
                Author information
                http://orcid.org/0000-0003-4085-3625
                Article
                Publisher ID: 3774
                DOI: 10.1007/s11082-022-03774-w
                PMC ID: 9167627
                SO-VID: 47177912-211e-43aa-b8fe-b08533a6a1ed
                Copyright © © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022
                License:

                This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.

                History
                Date received : 21 December 2021
                Date accepted : 22 April 2022
                Categories
                Subject: Article
                Custom metadata
                issue-copyright-statement © Springer Science+Business Media, LLC, part of Springer Nature 2022

                Keywords: dual-power law nonlinearity,zakharov–kuznetsov–benjamin–bona–mahony equation,nonlinear complex kundu–eckhaus equation with conformable,the generalized exponential rational function method,strain conditions,solitary and singular waves,dark-bright solitons,periodic waves,hyperbolic roots
                Data availability:
                Keywords: dual-power law nonlinearity, zakharov–kuznetsov–benjamin–bona–mahony equation, nonlinear complex kundu–eckhaus equation with conformable, the generalized exponential rational function method, strain conditions, solitary and singular waves, dark-bright solitons, periodic waves, hyperbolic roots

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