IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v162y2022ics0960077922006932.html
   My bibliography  Save this article

Demonstration of unique problems from Soliton solutions to nonlinear Selkov–Schnakenberg system

Author

Listed:
  • Iqbal, Muhammad S.
  • Seadawy, Aly R.
  • Baber, Muhammad Z.

Abstract

This article investigates the existence theory, exact solutions, and the unique solutions of physical problems. In this study the well-known Selkov–Schnakenberg system of coupled nonlinear unidirectional PDEs is analyzed. This is a simple chemical reaction system that admits periodic solutions. The existence of the system is extracted by applying contraction and self-mapping conditions. The new families of exact solutions which represent the concentration and chemical reactants in different forms are formulated. The periodic, singular periodic, shock wave, singular wave, and complex solitary-shock, shock-singular, double singular, and periodic-singular solutions are successfully extracted by using the new modified extended direct algebraic (MEDA) technique. Additionally the unique problems with corresponding proposed auxiliary data are discussed. The trends of these solutions are also sketched in different plots.

Suggested Citation

  • Iqbal, Muhammad S. & Seadawy, Aly R. & Baber, Muhammad Z., 2022. "Demonstration of unique problems from Soliton solutions to nonlinear Selkov–Schnakenberg system," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    • Handle: RePEc:eee:chsofr:v:162:y:2022:i:c:s0960077922006932
    DOI: 10.1016/j.chaos.2022.112485
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077922006932
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2022.112485?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Simbawa, Eman & Seadawy, Aly R. & Sugati, Taghreed G., 2021. "Dispersive wave propagation of the nonlinear Sasa-Satsuma dynamical system with computational and analytical soliton solutions," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    2. Seadawy, Aly R. & Arshad, Muhammad & Lu, Dianchen, 2020. "The weakly nonlinear wave propagation theory for the Kelvin-Helmholtz instability in magnetohydrodynamics flows," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    3. Seadawy, Aly R. & Bilal, M. & Younis, M. & Rizvi, S.T.R. & Althobaiti, Saad & Makhlouf, M.M., 2021. "Analytical mathematical approaches for the double-chain model of DNA by a novel computational technique," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Yange Wang & Xixian Bai, 2024. "An Efficient Linearized Difference Algorithm for a Diffusive Sel ′ kov–Schnakenberg System," Mathematics, MDPI, vol. 12(6), pages 1-15, March.
    2. Muhammad Zafarullah Baber & Nauman Ahmed & Muhammad Waqas Yasin & Muhammad Sajid Iqbal & Ali Akgül & Alicia Cordero & Juan R. Torregrosa, 2024. "Comparisons of Numerical and Solitary Wave Solutions for the Stochastic Reaction–Diffusion Biofilm Model including Quorum Sensing," Mathematics, MDPI, vol. 12(9), pages 1-30, April.
    3. Akram, Urooj & Althobaiti, Ali & Althobaiti, Saad & Alhushaybari, Abdullah, 2023. "Chirped pulses for Nematicons in liquid crystals with cubic-septic law nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Ullah, Mohammad Safi & Baleanu, Dumitru & Ali, M. Zulfikar & Harun-Or-Roshid,, 2023. "Novel dynamics of the Zoomeron model via different analytical methods," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    2. Seadawy, Aly R. & Rizvi, Syed T.R. & Sohail, Muhammad & Ali, Kashif, 2022. "Nonlinear model under anomalous dispersion regime: Chirped periodic and solitary waves," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
    3. Bashir, Azhar & Seadawy, Aly R. & Ahmed, Sarfaraz & Rizvi, Syed T.R., 2022. "The Weierstrass and Jacobi elliptic solutions along with multiwave, homoclinic breather, kink-periodic-cross rational and other solitary wave solutions to Fornberg Whitham equation," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
    4. Seadawy, Aly R. & Ahmed, Sarfaraz & Rizvi, Syed T.R. & Ali, Kashif, 2022. "Lumps, breathers, interactions and rogue wave solutions for a stochastic gene evolution in double chain deoxyribonucleic acid system," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    5. Seadawy, Aly R. & Ali, Safdar & Rizvi, Syed T.R., 2022. "On modulation instability analysis and rogue waves in the presence of external potential: The (n + 1)-dimensional nonlinear Schrödinger equation," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    6. Farman, Muhammad & Sarwar, Rabia & Akgul, Ali, 2023. "Modeling and analysis of sustainable approach for dynamics of infections in plant virus with fractal fractional operator," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    7. Rizvi, Syed T.R. & Seadawy, Aly R. & Farah, N. & Ahmad, S., 2022. "Application of Hirota operators for controlling soliton interactions for Bose-Einstien condensate and quintic derivative nonlinear Schrödinger equation," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    8. Rizvi, Syed T.R. & Seadawy, Aly R. & Batool, Tahira & Ashraf, M. Aamir, 2022. "Homoclinic breaters, mulitwave, periodic cross-kink and periodic cross-rational solutions for improved perturbed nonlinear Schrödinger's with quadratic-cubic nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    9. Seadawy, Aly R. & Rizvi, Syed T.R. & Ahmed, Sarfaraz & Bashir, Azhar, 2022. "Lump solutions, Kuznetsov–Ma breathers, rogue waves and interaction solutions for magneto electro-elastic circular rod," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
    10. Rubayyi T. Alqahtani & Melike Kaplan, 2024. "Analyzing Soliton Solutions of the Extended (3 + 1)-Dimensional Sakovich Equation," Mathematics, MDPI, vol. 12(5), pages 1-10, February.
    11. Akbar, Yasir & Afsar, Haleem & Abbas, Shahzad & Javed, Muhammad Waqas & Ullah, Najib, 2021. "Dromions for the coupled Maccari’s system in fluid mechanics," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    12. Seadawy, Aly R. & Rizvi, Syed T.R. & Ahmed, Sarfaraz, 2022. "Weierstrass and Jacobi elliptic, bell and kink type, lumps, Ma and Kuznetsov breathers with rogue wave solutions to the dissipative nonlinear Schrödinger equation," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    13. Shami A. M. Alsallami & Syed T. R. Rizvi & Aly R. Seadawy, 2023. "Study of Stochastic–Fractional Drinfel’d–Sokolov–Wilson Equation for M-Shaped Rational, Homoclinic Breather, Periodic and Kink-Cross Rational Solutions," Mathematics, MDPI, vol. 11(6), pages 1-25, March.
    14. Iqbal, Muhammad S. & Seadawy, Aly R. & Baber, Muhammad Z. & Qasim, Muhammad, 2022. "Application of modified exponential rational function method to Jaulent–Miodek system leading to exact classical solutions," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    15. Aly R. Seadawy & Hanadi Zahed & Syed T. R. Rizvi, 2022. "Diverse Forms of Breathers and Rogue Wave Solutions for the Complex Cubic Quintic Ginzburg Landau Equation with Intrapulse Raman Scattering," Mathematics, MDPI, vol. 10(11), pages 1-22, May.
    16. Rizvi, Syed T.R. & Seadawy, Aly R. & Raza, Umar, 2022. "Some advanced chirped pulses for generalized mixed nonlinear Schrödinger dynamical equation," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
    17. Khan, Kashif Ali & Seadawy, Aly R. & Raza, Nauman, 2022. "The homotopy simulation of MHD time dependent three dimensional shear thinning fluid flow over a stretching plate," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    18. Aly R. Seadawy & Syed T. R. Rizvi & Hanadi Zahed, 2023. "Stability Analysis of the Rational Solutions, Periodic Cross-Rational Solutions, Rational Kink Cross-Solutions, and Homoclinic Breather Solutions to the KdV Dynamical Equation with Constant Coefficien," Mathematics, MDPI, vol. 11(5), pages 1-16, February.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:162:y:2022:i:c:s0960077922006932. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.