Skip to main content
Erschienen in: Optical and Quantum Electronics 1/2023

01.01.2023

Impressive and innovative soliton shapes for nonlinear Konno–Oono system relating to electromagnetic field

verfasst von: Farah Aini Abdullah, Md. Tarikul Islam, J. F. Gómez-Aguilar, Md. Ali Akbar

Erschienen in: Optical and Quantum Electronics | Ausgabe 1/2023

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

The study of waves emerged in magnetic field bears worth mentioning roles for describing the nematic liquid crystal and the chiral soliton lattice. This exploration deals with the nonlinear coupled Konno–Oono model relating to the magnetic field. The solitary wave solutions relating to the magnetic field have great importance for better understanding the relevant physical characteristics like the nematic liquid crystal, the chiral soliton lattice, etc. The adaptation of two competent schemes namely rational \(({G}^{^{\prime}}/G)\)-expansion and improved tanh celebrates numerous wave solutions of the advised governing system. A variety of solitons are appeared when we represent the constructed solutions graphically in contour, three and two-dimensional frames. The displayed profiles clarify the underlying characteristics of mathematical and physical significance of the waves. The competency of the adopted techniques fascinates the researchers for more utilization to extract any nonlinear models.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literatur
Zurück zum Zitat Abdelrahman, M.A.E., Alkhidhr, H.A.: Fundamental solutions for the new coupled Konno-Oono equation in magnetic field. Res. Phys. 19, 1–12, 103445 (2020) Abdelrahman, M.A.E., Alkhidhr, H.A.: Fundamental solutions for the new coupled Konno-Oono equation in magnetic field. Res. Phys. 19, 1–12, 103445 (2020)
Zurück zum Zitat Abdelrahman, M.A.E., Alshreef, G.: Closed-form solutions to the new coupled Konno-Oono equation and the Kaup-Newell model equation in magnetic field with novel statistic application. Eur. Phys. J. plus 136(4), 1–10 (2021)CrossRef Abdelrahman, M.A.E., Alshreef, G.: Closed-form solutions to the new coupled Konno-Oono equation and the Kaup-Newell model equation in magnetic field with novel statistic application. Eur. Phys. J. plus 136(4), 1–10 (2021)CrossRef
Zurück zum Zitat Akinyemi, L., Senol, M., Rezazadeh, H., Ahmad, H., Wang, H.: Abundant optical soliton solutions for an integrable (2+1)-dimensional nonlinear conformable Schrödinger system. Res. Phys. 25, 1–10, 104177 (2021) Akinyemi, L., Senol, M., Rezazadeh, H., Ahmad, H., Wang, H.: Abundant optical soliton solutions for an integrable (2+1)-dimensional nonlinear conformable Schrödinger system. Res. Phys. 25, 1–10, 104177 (2021)
Zurück zum Zitat Alam, M.N., Belgacem, F.B.M.: New generalized -expansion method applications to coupled Konno-Oono equation. Adv. Pure Math. 6, 168–179 (2016)CrossRef Alam, M.N., Belgacem, F.B.M.: New generalized -expansion method applications to coupled Konno-Oono equation. Adv. Pure Math. 6, 168–179 (2016)CrossRef
Zurück zum Zitat Bashar, M.A., Mondal, G., Khan, K., Bekir, A.: Traveling wave solutions of new coupled Konno-Oono equation. New Trends Math Sci. 4(2), 296–303 (2016)CrossRef Bashar, M.A., Mondal, G., Khan, K., Bekir, A.: Traveling wave solutions of new coupled Konno-Oono equation. New Trends Math Sci. 4(2), 296–303 (2016)CrossRef
Zurück zum Zitat Bougoffa, L., Mennouni, A., Wazwaz, A.M.: Further real dark and complex bright solutions to the new coupled Konno-Oono system. Rom. J. Phys. 67, 1–8, 106 (2022) Bougoffa, L., Mennouni, A., Wazwaz, A.M.: Further real dark and complex bright solutions to the new coupled Konno-Oono system. Rom. J. Phys. 67, 1–8, 106 (2022)
Zurück zum Zitat Chowdhury, M.A., Miah, M.M., Ali, H.M.S., Chu, Y.M., Osman, M.S.: An investigation to the nonlinear (2+1)-dimensional soliton equation for discovering explicit and periodic wave solutions. Res. Phys. 23, 1–11, 104013 (2021) Chowdhury, M.A., Miah, M.M., Ali, H.M.S., Chu, Y.M., Osman, M.S.: An investigation to the nonlinear (2+1)-dimensional soliton equation for discovering explicit and periodic wave solutions. Res. Phys. 23, 1–11, 104013 (2021)
Zurück zum Zitat Duran, S.: Solitary wave solutions of the coupled Konno-Oono equation by using the functional variable method and the two variables -expansion method. Adryaman Uni. J. Sci. 10(2), 585–594 (2020) Duran, S.: Solitary wave solutions of the coupled Konno-Oono equation by using the functional variable method and the two variables -expansion method. Adryaman Uni. J. Sci. 10(2), 585–594 (2020)
Zurück zum Zitat Elbrolosy, M.E.: Qualitative analysis and new soliton solutions for the coupled nonlinear Schrodinger type equations. Phys. Scr. 96, 1–13, 125275 (2021)ADSCrossRef Elbrolosy, M.E.: Qualitative analysis and new soliton solutions for the coupled nonlinear Schrodinger type equations. Phys. Scr. 96, 1–13, 125275 (2021)ADSCrossRef
Zurück zum Zitat Elbrolosy, M.E., Elmandouh, A.A.: Bifurcation and new traveling wave solutions for (2+1)-dimensional nonlinear Nizhnik-Novikov-Veselov dynamical equation. Eur. Phys. J. plus. 135, 1–12, 533 (2020)CrossRef Elbrolosy, M.E., Elmandouh, A.A.: Bifurcation and new traveling wave solutions for (2+1)-dimensional nonlinear Nizhnik-Novikov-Veselov dynamical equation. Eur. Phys. J. plus. 135, 1–12, 533 (2020)CrossRef
Zurück zum Zitat Elbrolosy, M.E., Elmandouh, A.A.: Dynamical behaviour of nondissipative double dispersive microstrain wave in the microstructured solids. Eur. Phys. J. plus. 136, 1–18, 955 (2021)CrossRef Elbrolosy, M.E., Elmandouh, A.A.: Dynamical behaviour of nondissipative double dispersive microstrain wave in the microstructured solids. Eur. Phys. J. plus. 136, 1–18, 955 (2021)CrossRef
Zurück zum Zitat Elbrolosy, M.E., Elmandouh, A.A.: Dynamical behaviour of conformable time-fractional coupled Konno-Oono equation in magnetic field. Math. Prob. Eng. 2022, 1–16, 3157217 (2022a)CrossRef Elbrolosy, M.E., Elmandouh, A.A.: Dynamical behaviour of conformable time-fractional coupled Konno-Oono equation in magnetic field. Math. Prob. Eng. 2022, 1–16, 3157217 (2022a)CrossRef
Zurück zum Zitat Elbrolosy, M.E., Elmandouh, A.A.: Construction of new traveling wave solutions for the (2+1) dimensional extended Kadomtsev-Petviashvili equation. J. Appl. Anal. Comput. 12, 533–550 (2022b) Elbrolosy, M.E., Elmandouh, A.A.: Construction of new traveling wave solutions for the (2+1) dimensional extended Kadomtsev-Petviashvili equation. J. Appl. Anal. Comput. 12, 533–550 (2022b)
Zurück zum Zitat Gao, W., Ismael, H.F., Husien, A.M., Bulut, H., Baskonus, H.M.: Optical soliton solutions of the cubic-quartic nonlinear Schrödinger and resonant nonlinear Schrödinger equation with the parabolic law. Appl. Sci. 10(1), 1–9, 219 (2020)CrossRef Gao, W., Ismael, H.F., Husien, A.M., Bulut, H., Baskonus, H.M.: Optical soliton solutions of the cubic-quartic nonlinear Schrödinger and resonant nonlinear Schrödinger equation with the parabolic law. Appl. Sci. 10(1), 1–9, 219 (2020)CrossRef
Zurück zum Zitat Guan, L., Geng, X., Li, Z.: Exact quasi-periodic solutions of the Konno-Oono equations. Phys. Scr. 89, 1–12, 075210 (2014)ADSCrossRef Guan, L., Geng, X., Li, Z.: Exact quasi-periodic solutions of the Konno-Oono equations. Phys. Scr. 89, 1–12, 075210 (2014)ADSCrossRef
Zurück zum Zitat Inan, I.E.: Multiple soliton solutions of some nonlinear partial differential equations. Uni. J. Math. Appl. 1(4), 273–279 (2018)CrossRef Inan, I.E.: Multiple soliton solutions of some nonlinear partial differential equations. Uni. J. Math. Appl. 1(4), 273–279 (2018)CrossRef
Zurück zum Zitat Islam, M.T., Akter, M.A.: Distinct solutions of nonlinear space-time fractional evolution equations appearing in mathematical physics via a new technique. Partial Diff. Eq. Appl. Math. 3, 1–14, 100031 (2021) Islam, M.T., Akter, M.A.: Distinct solutions of nonlinear space-time fractional evolution equations appearing in mathematical physics via a new technique. Partial Diff. Eq. Appl. Math. 3, 1–14, 100031 (2021)
Zurück zum Zitat Islam, M.T., Akter, M.A., Aguilar, J.F.G., Akbar, M.A., Careta, E.P.: Novel optical solitons and other wave structures of solutions to the fractional order nonlinear Schrodinger equations. J. Opt. Quant. Elect. 54, 1–12, 520 (2022a)CrossRef Islam, M.T., Akter, M.A., Aguilar, J.F.G., Akbar, M.A., Careta, E.P.: Novel optical solitons and other wave structures of solutions to the fractional order nonlinear Schrodinger equations. J. Opt. Quant. Elect. 54, 1–12, 520 (2022a)CrossRef
Zurück zum Zitat Islam, M.T., Akbar, M.A., Ahmad, H., Ilhan, O.A.: Diverse and novel soliton structures of coupled nonlinear Schrodinger type equations through two competent techniques. Mod. Phys. Lett. B 36(11), 1–10, 2250004 (2022c)ADSCrossRef Islam, M.T., Akbar, M.A., Ahmad, H., Ilhan, O.A.: Diverse and novel soliton structures of coupled nonlinear Schrodinger type equations through two competent techniques. Mod. Phys. Lett. B 36(11), 1–10, 2250004 (2022c)ADSCrossRef
Zurück zum Zitat Ismael, H.F., Bulut, H., Baskonus, H.M., Gao, W.: Dynamical behaviors to the coupled Schrödinger-Boussinesq system with the beta derivative. AIMS Math. 6(7), 7909–7928 (2021)CrossRefMATH Ismael, H.F., Bulut, H., Baskonus, H.M., Gao, W.: Dynamical behaviors to the coupled Schrödinger-Boussinesq system with the beta derivative. AIMS Math. 6(7), 7909–7928 (2021)CrossRefMATH
Zurück zum Zitat Khan, K., Akbar, M.A.: Traveling wave solutions of some coupled nonlinear evolution equations. ISRN- Math. Phys. 2013, 1–14, 685736 (2013)CrossRefMATH Khan, K., Akbar, M.A.: Traveling wave solutions of some coupled nonlinear evolution equations. ISRN- Math. Phys. 2013, 1–14, 685736 (2013)CrossRefMATH
Zurück zum Zitat Khater, M.M.A., Seadawy, A.R., Lu, D.: Dispersive solitary wave solutions of new coupled Konno-Oono, Higgs field and Maccari equations and their applications. J. King. Saud. Uni. Sci. 30, 417–423 (2018)CrossRef Khater, M.M.A., Seadawy, A.R., Lu, D.: Dispersive solitary wave solutions of new coupled Konno-Oono, Higgs field and Maccari equations and their applications. J. King. Saud. Uni. Sci. 30, 417–423 (2018)CrossRef
Zurück zum Zitat Kocak, Z.F., Bulut, H., Koc, D.A., Baskonus, H.M.: Prototype traveling wave solutions of new coupled Konno-Oono equation. Optik 127(22), 10786–10794 (2016)ADSCrossRef Kocak, Z.F., Bulut, H., Koc, D.A., Baskonus, H.M.: Prototype traveling wave solutions of new coupled Konno-Oono equation. Optik 127(22), 10786–10794 (2016)ADSCrossRef
Zurück zum Zitat Kumar, R., Kumar, A.: Some invariant solutions of coupled Konno-Oono equations arising in electromagnetic and quantum fields. Phys. Scr. 97, 1–21, 075501 (2022a)ADSCrossRef Kumar, R., Kumar, A.: Some invariant solutions of coupled Konno-Oono equations arising in electromagnetic and quantum fields. Phys. Scr. 97, 1–21, 075501 (2022a)ADSCrossRef
Zurück zum Zitat Kumar, R., Kumar, A.: Dynamical behaviour of similarity solutions of CKOEs with conservation law. Appl. Math. Comput. 422, 1–16, 126976 (2022b)MATH Kumar, R., Kumar, A.: Dynamical behaviour of similarity solutions of CKOEs with conservation law. Appl. Math. Comput. 422, 1–16, 126976 (2022b)MATH
Zurück zum Zitat Liu, W., Yu, W., Yang, C., Liu, M., Zhang, Y., Lie, M.: Analytic solutions for the generalized complex Ginzburg-Landau equation in fiber lasers. Nonlinear. Dyn. 89(4), 2933–2939 (2017)CrossRef Liu, W., Yu, W., Yang, C., Liu, M., Zhang, Y., Lie, M.: Analytic solutions for the generalized complex Ginzburg-Landau equation in fiber lasers. Nonlinear. Dyn. 89(4), 2933–2939 (2017)CrossRef
Zurück zum Zitat Manafian, J., Zamanpour, I., Ranjbaran, A.: On some new analytical solutions for new coupled Konno-Oono equation by the external trial equation method. J. Phys. Commun. 2, 1–15, 015023 (2018)CrossRef Manafian, J., Zamanpour, I., Ranjbaran, A.: On some new analytical solutions for new coupled Konno-Oono equation by the external trial equation method. J. Phys. Commun. 2, 1–15, 015023 (2018)CrossRef
Zurück zum Zitat Mohammed, W.W., Iqbal, N., Ali, A., El-Morshedy, M.: Exact solutions of the stochastic new coupled Konno-Oono equation. Res. Phys. 21, 1–11, 103830 (2021) Mohammed, W.W., Iqbal, N., Ali, A., El-Morshedy, M.: Exact solutions of the stochastic new coupled Konno-Oono equation. Res. Phys. 21, 1–11, 103830 (2021)
Zurück zum Zitat Shakeel, M., Mohyud-Din, S.T., Iqbal, M.A.: Modified extended exp-function method for a system of nonlinear partial differential equations defined by seismic sea waves. Pramana-J. Phys. 91(2), 1–8 (2018)CrossRef Shakeel, M., Mohyud-Din, S.T., Iqbal, M.A.: Modified extended exp-function method for a system of nonlinear partial differential equations defined by seismic sea waves. Pramana-J. Phys. 91(2), 1–8 (2018)CrossRef
Zurück zum Zitat Torvattanabun, M., Juntakud, P., Saiyun, A., Khansai, N.: The new exact solutions of the new coupled Konno-Oono equation by using extended simplest equation method. Appl. Math. Sci. 12, 293–301 (2018) Torvattanabun, M., Juntakud, P., Saiyun, A., Khansai, N.: The new exact solutions of the new coupled Konno-Oono equation by using extended simplest equation method. Appl. Math. Sci. 12, 293–301 (2018)
Zurück zum Zitat Wang, K.J.: Abundant analytical solutions to the new coupled Konno-Oono equation arising in magnetic field. Res. Phys. 31, 1–12, 104931 (2021) Wang, K.J.: Abundant analytical solutions to the new coupled Konno-Oono equation arising in magnetic field. Res. Phys. 31, 1–12, 104931 (2021)
Zurück zum Zitat Wang, K.J., Liu, J.H.: Study on abundant analytical solutions of the new coupled Konno-Oono equation in the magnetic field. Open Phys. 20, 390–401 (2022)CrossRef Wang, K.J., Liu, J.H.: Study on abundant analytical solutions of the new coupled Konno-Oono equation in the magnetic field. Open Phys. 20, 390–401 (2022)CrossRef
Zurück zum Zitat Yel, G., Baskonus, H.M., Bulut, H.: Novel archetypes of new coupled Konno-Oono equation by using sine-Gordon expansion method. Opt. Quant. Electron. 49, 1–14, 285 (2017)CrossRef Yel, G., Baskonus, H.M., Bulut, H.: Novel archetypes of new coupled Konno-Oono equation by using sine-Gordon expansion method. Opt. Quant. Electron. 49, 1–14, 285 (2017)CrossRef
Zurück zum Zitat Yokuş, A., Durur, H., Duran, S., Islam, M.T.: Ample felicitous wave structures for fractional foam drainage equation modeling for fluid-flow mechanism. Comput. Appl. Math. 41(4), 1–16, 174 (2022)CrossRefMATH Yokuş, A., Durur, H., Duran, S., Islam, M.T.: Ample felicitous wave structures for fractional foam drainage equation modeling for fluid-flow mechanism. Comput. Appl. Math. 41(4), 1–16, 174 (2022)CrossRefMATH
Zurück zum Zitat Younis, M., Rizvi, S.T.R., Zhou, Q., Biswas, A., Belic, M.: Optical solutions in dual-core fibers with -expansion scheme. J. Optoelectn. Adv. Mater. 17(3–4), 505–510 (2015) Younis, M., Rizvi, S.T.R., Zhou, Q., Biswas, A., Belic, M.: Optical solutions in dual-core fibers with -expansion scheme. J. Optoelectn. Adv. Mater. 17(3–4), 505–510 (2015)
Zurück zum Zitat Zayed, E.M.E., Nofal, T.A., Gepreel, K.A., Shohib, R.M.A., Alngar, M.E.M.: Cubic-quartic optical soliton solutions in fiber Bragg gratings with Lakshmanan-Porsezian-Daniel model by two integration schemes. Opt. Quant. Elec. 53(5), 1–17 (2021)CrossRef Zayed, E.M.E., Nofal, T.A., Gepreel, K.A., Shohib, R.M.A., Alngar, M.E.M.: Cubic-quartic optical soliton solutions in fiber Bragg gratings with Lakshmanan-Porsezian-Daniel model by two integration schemes. Opt. Quant. Elec. 53(5), 1–17 (2021)CrossRef
Metadaten
Titel
Impressive and innovative soliton shapes for nonlinear Konno–Oono system relating to electromagnetic field
verfasst von
Farah Aini Abdullah
Md. Tarikul Islam
J. F. Gómez-Aguilar
Md. Ali Akbar
Publikationsdatum
01.01.2023
Verlag
Springer US
Erschienen in
Optical and Quantum Electronics / Ausgabe 1/2023
Print ISSN: 0306-8919
Elektronische ISSN: 1572-817X
DOI
https://doi.org/10.1007/s11082-022-04308-0

Weitere Artikel der Ausgabe 1/2023

Optical and Quantum Electronics 1/2023 Zur Ausgabe