Skip to main content
Fachgebiete
Automobil + Motoren Bauwesen + Immobilien Business IT + Informatik Elektrotechnik + Elektronik Energie + Nachhaltigkeit Finance + Banking Management + Führung Marketing + Vertrieb Maschinenbau + Werkstoffe Versicherung + Risiko
DE
EN
Themenseiten
Organisationspsychologie Projektmanagement Marketing Smart Manufacturing
Bücher
Zeitschriften
Weitere Formate
Podcasts Webinare Technik Webinare Wirtschaft Kongresse Veranstaltungskalender Awards
Jetzt Einzelzugang starten
Zugang für Unternehmen
Referenzkunden
MTZ-Fachkongress

Antriebe und Energiesysteme von morgen


Austausch von Automobil- und Energiewirtschaft

Am 14./15. Mai geht es in Chemnitz um die Mobilitätswende durch Elektro- und Wasserstofffahrzeuge.
Erweiterte Suche
Anmelden
nach oben
Optical and Quantum Electronics
Erschienen in: Optical and Quantum Electronics 3/2024

01.03.2024

Investigation of solitons structures for nonlinear ionic currents microtubule and Mikhaillov-Novikov-Wang dynamical equations

verfasst von: Mujahid Iqbal, Dianchen Lu, Aly R. Seadawy, Muhammad Ashraf, Hissah Saedoon Albaqawi, Khalid Ali Khan, Dean Chou

Erschienen in: Optical and Quantum Electronics | Ausgabe 3/2024

Einloggen

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

search-config
loading …

Abstract

In this work, we analysis the novel behavior of solitons to the nonlinear evolution equations describing the ionic currents microtubule and Mikhaillov-Novikov-Wang dynamical equations under an auxiliary equation approach. As a result, a variety of solitons solutions are achieved such as singular bright solitons, kink solitons, singular dark solitons and anti-kink solitons. All outcomes in this work are necessary to understand the physical meaning and behavior of the explored results and shed light on the significance of the investigation of several nonlinear wave phenomena in sciences and engineering including nonlinear optics, material energy, soliton wave theory, computational fluid mechanics, system identification, earthquake modeling, water wave mechanics, signal transmission, and optical fibers. We designed the utilized approach to be reliable and accurate, with precise for analytical results.
Vorheriger Artikel The experimental and MD studies of the sorption processes of organic molecules on the SiO2 surface
Nächster Artikel Preparation and exploration of optical performance of novel polythiophene-ZrO2 composites

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!

Jetzt informieren

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!

Jetzt informieren

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!

Jetzt informieren
Literatur
Abdoulkary, S., Aboubakar, M., Mohamadou, A., Beda, T.: ( Exact traveling soliton solutions for the scalar Qiao equation. Physica Scripta 90(1), 015208 (2014)ADSCrossRef
Abdoulkary, S., Mohamadou, A., Beda, T., Gambo, B., Doka, S.Y., Mahamoudou, A.: Exact traveling wave solutions to the nonlinear Schrödinger equation. Appl. Math. Comput. 233, 109–115 (2014)MathSciNet
Akbulut, A., Kaplan, M., Kaabar, M.K.: New exact solutions of the Mikhailov-Novikov-Wang equation via three novel techniques. J. Ocean Eng. Sci. 8, 103–110 (2021)CrossRef
Alam, M.N., Alam, M.M.: An analytical method for solving exact solutions of a nonlinear evolution equation describing the dynamics of ionic currents along microtubules. J. Taibah Univ. Sci. 11(6), 939–948 (2017)CrossRef
Ali, A.T.: New generalized Jacobi elliptic function rational expansion method. J. Comput. Appl. Math. 235(14), 4117–4127 (2011)MathSciNetCrossRef
Aljahdaly, N.H., Alyoubi, A.F., Seadawy, A.R.: Solitary wave solutions of the ionic currents along microtubule dynamical equations via analytical mathematical method. Open Phys. 19(1), 494–503 (2021)CrossRef
Alruwaili, A.D., Seadawy, A.R., Iqbal, M., Beinane, S.A.O.: Dust-acoustic solitary wave solutions for mixed nonlinearity modified Korteweg-de Vries dynamical equation via analytical mathematical methods. J. Geom. Phys. 176, 104504 (2022)MathSciNetCrossRef
Bhanotar, S.A., Kaabar, M.K.: Analytical solutions for the nonlinear partial differential equations using the conformable triple Laplace transform decomposition method. Int. J. Differ. Eq. 2021, 1–8 (2021)MathSciNet
Chowdhury, M.A., Miah, M.M., Iqbal, M.A., Alshehri, H.M., Baleanu, D., Osman, M.S.: Advanced exact solutions to the nano-ionic currents equation through MTs and the soliton equation containing the RLC transmission line. Eur. Phys. J. Plus 138(6), 1–11 (2023)CrossRef
Demiray, S.T., Bayrakci, U.: A study on the solutions of (1+ 1)-dimensional Mikhailov-Novikov-Wang equation. Math. Modell. Numer. Simul. Appl. 2(5), 1–8 (2022)
Fahim, M.R.A., Kundu, P.R., Islam, M.E., Akbar, M.A., Osman, M.S.: Wave profile analysis of a couple of (3+ 1)-dimensional nonlinear evolution equations by sine-Gordon expansion approach. J. Ocean Eng. Sci. 7(3), 272–279 (2022)CrossRef
Iqbal, M., Seadawy, A.R., Althobaiti, S.: Mixed soliton solutions for the (2+ 1)-dimensional generalized breaking soliton system via new analytical mathematical method. Results Phys. 32, 105030 (2022)CrossRef
Iqbal, M., Seadawy, A.R., Khalil, O.H., Lu, D.: Propagation of long internal waves in density stratified ocean for the (2+ 1)-dimensional nonlinear Nizhnik-Novikov-Vesselov dynamical equation. Results Phys. 16, 102838 (2020)CrossRef
Iqbal, M., Seadawy, A.R., Lu, D.: Applications of nonlinear longitudinal wave equation in a magneto-electro-elastic circular rod and new solitary wave solutions. Modern Phys. Lett. B 33(18), 1950210 (2022)MathSciNetCrossRef
Iqbal, M., Seadawy, A.R., Lu, D., Xia, X.: Construction of bright-dark solitons and ion-acoustic solitary wave solutions of dynamical system of nonlinear wave propagation. Modern Phys. Lett. A 34(37), 1950309 (2019)ADSMathSciNetCrossRef
Iqbal, M., Seadawy, A.R., Lu, D., Zhang, Z.: Structure of analytical and symbolic computational approach of multiple solitary wave solutions for nonlinear Zakharov-Kuznetsov modified equal width equation. Numer. Methods Partial Differ. Eq. 39(5), 3987–4006 (2023)MathSciNetCrossRef
Ismael, H.F., Bulut, H., Park, C., Osman, M.S.: M-lump, N-soliton solutions, and the collision phenomena for the (2+ 1)-dimensional Date-Jimbo-Kashiwara-Miwa equation. Results Phys. 19, 103329 (2020)CrossRef
Ismael, H.F., Sulaiman, T.A., Nabi, H.R., Mahmoud, W., Osman, M.S.: Geometrical patterns of time variable Kadomtsev-Petviashvili (I) equation that models dynamics of waves in thin films with high surface tension. Nonlinear Dyn. 111(10), 9457–9466 (2023)CrossRef
Jiong, S.: Auxiliary equation method for solving nonlinear partial differential equations. Phys. Lett. A 309(5–6), 387–396 (2003)ADSMathSciNet
Kaabar, M.K., Kaplan, M., Siri, Z.: New Exact Soliton Solutions of the (3+1)-Dimensional Conformable Wazwaz-Benjamin-Bona-Mahony Equation via Two Novel Techniques. J. Funct. Spaces 2021, 1–13 (2021)MathSciNet
Khater, M., Jhangeer, A., Rezazadeh, H., Akinyemi, L., Akbar, M.A., Inc, M., Ahmad, H.: New kinds of analytical solitary wave solutions for ionic currents on microtubules equation via two different techniques. Opt. Quantum Electron. 53(11), 1–27 (2021)CrossRef
Khater, A.H., Malfliet, W., Callebaut, D.K., Kamel, E.S.: The tanh method, a simple transformation and exact analytical solutions for nonlinear reaction-diffusion equations. Chaos Solit. Fract. 14(3), 513–522 (2002)ADSMathSciNetCrossRef
Kumar, S., Niwas, M., Osman, M.S., Abdou, M.A.: Abundant different types of exact soliton solution to the (4+ 1)-dimensional Fokas and (2+ 1)-dimensional breaking soliton equations. Commun. Theor. Phys. 73(10), 105007 (2021)ADSMathSciNetCrossRef
Kumar, D., Park, C., Tamanna, N., Paul, G.C., Osman, M.S.: Dynamics of two-mode Sawada-Kotera equation: mathematical and graphical analysis of its dual-wave solutions. Results Phys. 19, 103581 (2020)CrossRef
Li, R., Manafian, J., Lafta, H.A., Kareem, H.A., Uktamov, K.F., Abotaleb, M.: The nonlinear vibration and dispersive wave systems with cross-kink and solitary wave solutions. Int. J. Geomet. Methods Modern Phys. 19(10), 2250151 (2022)ADSMathSciNetCrossRef
Li, J., Qiu, Y., Lu, D., Attia, R.A., Khater, M.: Study on the solitary wave solutions of the ionic currents on microtubules equation by using the modified Khater method. Thermal Sci. 23(Suppl. 6), 2053–2062 (2019)CrossRef
Li, R., Sinnah, Z.A.B., Shatouri, Z.M., Manafian, J., Aghdaei, M.F., Kadi, A.: Different forms of optical soliton solutions to the Kudryashov’s quintuple self-phase modulation with dual-form of generalized nonlocal nonlinearity. Results Phys. 46, 106293 (2023)CrossRef
Liu, X., Abd Alreda, B., Manafian, J., Eslami, B., Aghdaei, M.F., Abotaleb, M., Kadi, A.: Computational modeling of wave propagation in plasma physics over the Gilson-Pickering equation. Results Phys. 50, 106579 (2023)CrossRef
Lu, D., Seadawy, A.R., Iqbal, M.: Mathematical methods via construction of traveling and solitary wave solutions of three coupled system of nonlinear partial differential equations and their applications. Results Phys. 11, 1161–1171 (2018)ADSCrossRef
Lu, D., Seadawy, A.R., Iqbal, M.: Construction of new solitary wave solutions of generalized Zakharov-Kuznetsov-Benjamin-Bona-Mahony and simplified modified form of Camassa-Holm equations. Open Phys. 16(1), 896–909 (2018)CrossRef
Ma, W. X.: (2013, January). Bilinear equations, Bell polynomials and linear superposition principle. In: Journal of Physics: Conference Series (Vol. 411, No. 1, p. 012021). IOP Publishing
Mirzazadeh, M.: Modified simple equation method and its applications to nonlinear partial differential equations. Inf. Sci. Lett. 3(1), 1 (2014)MathSciNetCrossRef
Nandi, D.C., Ullah, M.S., Ali, M.Z.: Application of the unified method to solve the ion sound and Langmuir waves model. Heliyon 8(10), e10924 (2022)PubMedPubMedCentralCrossRef
Rahman, R.U., Qousini, M.M.M., Alshehri, A., Eldin, S.M., El-Rashidy, K., Osman, M.S.: Evaluation of the performance of fractional evolution equations based on fractional operators and sensitivity assessment. Results Phys. 49, 106537 (2023)CrossRef
Raza, N., Seadawy, A.R., Arshed, S., Rafiq, M.H.: A variety of soliton solutions for the Mikhailov-Novikov-Wang dynamical equation via three analytical methods. J. Geom. Phys. 176, 104515 (2022)MathSciNetCrossRef
Saha Ray, S., Singh, S.: New various multisoliton kink type solutions of the (1+1) dimensional Mikhailov-Novikov-Wang equation. Math. Methods Appl. Sci. 44(18), 14690–14702 (2021)ADSMathSciNetCrossRef
Seadawy, A.R., Iqbal, M.: Propagation of the nonlinear damped Korteweg-de Vries equation in an unmagnetized collisional dusty plasma via analytical mathematical methods. Math. Methods Appl. Sci. 44(1), 737–748 (2021)ADSMathSciNetCrossRef
Seadawy, A.R., Iqbal, M., Althobaiti, S., Sayed, S.: Wave propagation for the nonlinear modified Kortewege-de Vries Zakharov-Kuznetsov and extended Zakharov-Kuznetsov dynamical equations arising in nonlinear wave media. Opt. Quantum Electron. 53, 1–20 (2021)CrossRef
Seadawy, A.R., Iqbal, M., Baleanu, D.: Construction of traveling and solitary wave solutions for wave propagation in nonlinear low-pass electrical transmission lines. J. King Saud Univ. Sci. 32(6), 2752–2761 (2020)CrossRef
Seadawy, A.R., Iqbal, M., Lu, D.: Nonlinear wave solutions of the Kudryashov-Sinelshchikov dynamical equation in mixtures liquid-gas bubbles under the consideration of heat transfer and viscosity. J. Taibah Univ. Sci. 13(1), 1060–1072 (2019)CrossRef
Seadawy, A.R., Iqbal, M., Lu, D.: Analytical methods via bright-dark solitons and solitary wave solutions of the higher-order nonlinear Schrödinger equation with fourth-order dispersion. Modern Phys. Lett. B 33(35), 1950443 (2019)ADSMathSciNetCrossRef
Seadawy, A.R., Iqbal, M., Lu, D.: Propagation of kink and anti-kink wave solitons for the nonlinear damped modified Korteweg-de Vries equation arising in ion-acoustic wave in an unmagnetized collisional dusty plasma. Phys. A Stat. Mech. Appl. 544, 123560 (2020)CrossRef
Seadawy, A.R., Iqbal, M., Lu, D.: The nonlinear diffusion reaction dynamical system with quadratic and cubic nonlinearities with analytical investigations. Int. J. Modern Phys. B 34(09), 2050085 (2020)ADSMathSciNetCrossRef
Seadawy, A.R., Iqbal, M., Lu, D.: Construction of soliton solutions of the modify unstable nonlinear Schrödinger dynamical equation in fiber optics. Indian J. Phys. 94, 823–832 (2020)ADSCrossRef
Seadawy, A.R., Lu, D., Iqbal, M.: Application of mathematical methods on the system of dynamical equations for the ion sound and Langmuir waves. Pramana 93, 1–12 (2019)ADSCrossRef
Shan, X., Zhu, J.: The Mikhauilov-Novikov-Wang hierarchy and its Hamiltonian structures. Acta Physica Polonica-Series B Elem. Part. Phys. 43(10), 1953 (2012)MathSciNetCrossRef
Sirendaoreji: A new auxiliary equation and exact travelling wave solutions of nonlinear equations. Phys. Lett. A 356(2), 124–130 (2006)ADSCrossRef
Sirendaoreji: Exact travelling wave solutions for four forms of nonlinear Klein-Gordon equations. Phys. Lett. A 363(5–6), 440–447 (2007)ADSMathSciNetCrossRef
Tariq, K.U., Younis, M., Rezazadeh, H., Rizvi, S.T.R., Osman, M.S.: Optical solitons with quadratic-cubic nonlinearity and fractional temporal evolution. Modern Phys. Lett. B 32(26), 1850317 (2018)ADSMathSciNetCrossRef
Tripathy, A., Sahoo, S., Rezazadeh, H., Izgi, Z.P., Osman, M.S.: Dynamics of damped and undamped wave natures in ferromagnetic materials. Optik 281, 170817 (2023)ADSCrossRef
Ullah, M.S., Ahmed, O., Mahbub, M.A.: Collision phenomena between lump and kink wave solutions to a (3+ 1)-dimensional Jimbo-Miwa-like model. Partial Differ. Eq. Appl. Math. 5, 100324 (2022)CrossRef
Ullah, M.S., Ali, M.Z., Rezazadeh, H.: Kink and breather waves with and without singular solutions to the Zoomeron model. Results Phys. 49, 106535 (2023a)CrossRef
Ullah, M.S., Ali, M.Z., Roshid, H.O., Hoque, M.F.: Collision phenomena among lump, periodic and stripe soliton solutions to a (2+ 1)-dimensional Benjamin-Bona-Mahony-Burgers Model. Eur. Phys. J. Plus 136, 1–9 (2021)CrossRef
Ullah, M.S., Baleanu, D., Ali, M.Z.: Novel dynamics of the Zoomeron model via different analytical methods. Chaos Solitons Fract. 174, 113856 (2023)MathSciNetCrossRef
Ullah, M.S., Roshid, H.O., Ali, M.Z.: New wave behaviors of the Fokas-Lenells model using three integration techniques. Plos one 18(9), e0291071 (2023)PubMedPubMedCentralCrossRef
Ullah, M.S., Roshid, H.O., Ma, W.X., Ali, M.Z., Rahman, Z.: Interaction phenomena among lump, periodic and kink wave solutions to a (3+ 1)-dimensional Sharma-Tasso-Olver-like equation. Chin. J. Phys. 68, 699–711 (2020)MathSciNetCrossRef
Ullah, M.S., Seadawy, A.R., Ali, M.Z.: Optical soliton solutions to the Fokas-Lenells model applying the 6-model expansion approach. Opt. Quantum Electron. 55(6), 495 (2023)CrossRef
Wazwaz, A.M.: A sine-cosine method for handling nonlinear wave equations. Math. Comput. Model. 40(5–6), 499–508 (2004)MathSciNetCrossRef
Wazzan, L.: A modified tanh-coth method for solving the general Burgers-Fisher and the Kuramoto-Sivashinsky equations. Commun. Nonlinear Sci. Numer. Simul. 14(6), 2642–2652 (2009)ADSMathSciNetCrossRef
Yang, X.F., Deng, Z.C., Wei, Y.: A Riccati-Bernoulli sub-ODE method for nonlinear partial differential equations and its application. Adv. Differ. Eq. 2015(1), 1–17 (2015)MathSciNetCrossRef
Zahed, H., Seadawy, A.R., Iqbal, M.: Structure of analytical ion-acoustic solitary wave solutions for the dynamical system of nonlinear wave propagation. Open Phys. 20(1), 313–333 (2022)CrossRef
Zayed, E.M., Rahman, H.M.: The extended tanh-method for finding traveling wave solutions of nonlinear evolution equations. Appl. Math. E-Notes 10, 235–245 (2010)MathSciNet
Metadaten
Titel
Investigation of solitons structures for nonlinear ionic currents microtubule and Mikhaillov-Novikov-Wang dynamical equations
verfasst von
Mujahid Iqbal
Dianchen Lu
Aly R. Seadawy
Muhammad Ashraf
Hissah Saedoon Albaqawi
Khalid Ali Khan
Dean Chou
Publikationsdatum
01.03.2024
Verlag
Springer US
Erschienen in
Optical and Quantum Electronics / Ausgabe 3/2024
Print ISSN: 0306-8919
Elektronische ISSN: 1572-817X
DOI
https://doi.org/10.1007/s11082-023-05984-2

Weitere Artikel der Ausgabe 3/2024

Optical and Quantum Electronics 3/2024 Zur Ausgabe

OriginalPaper

Design of IoT sports remote monitoring system based on digital light processing and wearable devices

OriginalPaper

Application of visual tracking based on infrared target imaging in aerobics action evaluation system

OriginalPaper

Design of an all-optical compact 2*1 multiplexer based on 2D photonic crystal ring resonators

OriginalPaper

Enhancement of electron-bunch quality in bubble domain utilizing plasma ramp profile with various density-hill widths in laser wakefield acceleration

OriginalPaper

Optical soliton solutions for the parabolic nonlinear Schrödinger Hirota’s equation incorporating spatiotemporal dispersion via the tanh method linked with the Riccati equation

OriginalPaper

Numerical analysis of all-inorganic perovskite solar cells with different Cu-based hole transport layers under indoor illuminations

Neuer Inhalt

    Bildnachweise