IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v163y2022ics0960077922007354.html
   My bibliography  Save this article

The Weierstrass and Jacobi elliptic solutions along with multiwave, homoclinic breather, kink-periodic-cross rational and other solitary wave solutions to Fornberg Whitham equation

Author

Listed:
  • Bashir, Azhar
  • Seadawy, Aly R.
  • Ahmed, Sarfaraz
  • Rizvi, Syed T.R.

Abstract

We investigate multiwave, homoclinic breather, M-shaped, Kink cross-rational, periodic cross kink solutions for the nonlinear generalized Fornberg–Whitham (gFW)-equation by using appropriate polynomial function schemes. We also obtain some interactions for governing model including; interaction of M-shaped soliton with single exp-function, interactional solution with double exp-functions. In addition, we obtain dark, periodic soliton, Weierstrass and Jacobi elliptic, bell and kink type solutions for gFW-equation via newly developed sub-ODE method.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:chsofr:v:163:y:2022:i:c:s0960077922007354
    DOI: 10.1016/j.chaos.2022.112538
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077922007354
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2022.112538?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. 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).
    2. Gang Xu & Alexander U. Nielsen & Bruno Garbin & Lewis Hill & Gian-Luca Oppo & Julien Fatome & Stuart G. Murdoch & Stéphane Coen & Miro Erkintalo, 2021. "Spontaneous symmetry breaking of dissipative optical solitons in a two-component Kerr resonator," Nature Communications, Nature, vol. 12(1), pages 1-9, December.
    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).
    4. Kumar, Sachin & Kumar, Dharmendra & Kumar, Amit, 2021. "Lie symmetry analysis for obtaining the abundant exact solutions, optimal system and dynamics of solitons for a higher-dimensional Fokas equation," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    5. Seadawy, Aly R. & Cheemaa, Nadia, 2019. "Propagation of nonlinear complex waves for the coupled nonlinear Schrödinger Equations in two core optical fibers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 529(C).
    6. Samad Noeiaghdam & Denis Sidorov & Abdul-Majid Wazwaz & Nikolai Sidorov & Valery Sizikov, 2021. "The Numerical Validation of the Adomian Decomposition Method for Solving Volterra Integral Equation with Discontinuous Kernels Using the CESTAC Method," Mathematics, MDPI, vol. 9(3), pages 1-15, January.
    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. Faridi, Waqas Ali & Wazwaz, Abdul-Majid & Mostafa, Almetwally M. & Myrzakulov, Ratbay & Umurzakhova, Zhanar, 2024. "The Lie point symmetry criteria and formation of exact analytical solutions for Kairat-II equation: Paul-Painlevé approach," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    2. Rafiq, Muhammad Naveed & Chen, Haibo, 2024. "Dynamics of three-wave solitons and other localized wave solutions to a new generalized (3+1)-dimensional P-type equation," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    3. Yang, Liu & Gao, Ben, 2024. "The nondegenerate solitons solutions for the generalized coupled higher-order nonlinear Schrödinger equations with variable coefficients via the Hirota bilinear method," Chaos, Solitons & Fractals, Elsevier, vol. 184(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. 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).
    2. 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.
    3. Seadawy, Aly R. & Rizvi, Syed T.R. & Ahmed, Sarfaraz, 2022. "Multiple lump, generalized breathers, Akhmediev breather, manifold periodic and rogue wave solutions for generalized Fitzhugh-Nagumo equation: Applications in nuclear reactor theory," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    4. 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).
    5. 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).
    6. 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).
    7. 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).
    8. 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).
    9. 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).
    10. 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).
    11. Abdulmohsen D. Alruwaili & Aly R. Seadawy & Syed T. R. Rizvi & Sid Ahmed O. Beinane, 2022. "Diverse Multiple Lump Analytical Solutions for Ion Sound and Langmuir Waves," Mathematics, MDPI, vol. 10(2), pages 1-21, January.
    12. 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.
    13. Aly R. Seadawy & Hanadi Zahed & Mujahid Iqbal, 2022. "Solitary Wave Solutions for the Higher Dimensional Jimo-Miwa Dynamical Equation via New Mathematical Techniques," Mathematics, MDPI, vol. 10(7), pages 1-15, March.
    14. 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).
    15. 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).
    16. Taghread Ghannam Alharbi & Abdulghani Alharbi, 2023. "A Study of Traveling Wave Structures and Numerical Investigations into the Coupled Nonlinear Schrödinger Equation Using Advanced Mathematical Techniques," Mathematics, MDPI, vol. 11(22), pages 1-16, November.
    17. 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).
    18. Karna, Ashutosh Kumar & Satapathy, Purnima, 2023. "Lie symmetry analysis for the Cargo–Leroux model with isentropic perturbation pressure equation of state," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    19. Yang, Feifei & Song, Xinlin & Yu, Zhenhua, 2024. "Dynamics of a functional neuron model with double membranes," Chaos, Solitons & Fractals, Elsevier, vol. 188(C).
    20. 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.

    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:163:y:2022:i:c:s0960077922007354. 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.