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Soliton Solutions of Klein–Fock–Gordon Equation Using Sardar Subequation Method

Author

Listed:
  • Hamood Ur Rehman

    (Department of Mathematics, University of Okara, Okara 56300, Pakistan)

  • Ifrah Iqbal

    (Department of Mathematics, University of Okara, Okara 56300, Pakistan)

  • Suhad Subhi Aiadi

    (Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia)

  • Nabil Mlaiki

    (Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia)

  • Muhammad Shoaib Saleem

    (Department of Mathematics, University of Okara, Okara 56300, Pakistan)

Abstract

The Klein–Fock–Gordon equation (KFGE), defined as the equation of relativistic wave related to NLEEs, has numerous implications for energy particle physics and is useful as a model for several types of matter, with deviation in the basic stuffs of particles and in crystals. In this work, the Sardar subequation method (SSM) is used for finding the solution of this KFGE. The advantage of SSM is that it provides many different kinds of solitons, such as dark, bright, singular, periodic singular, combined dark–singular and combined dark–bright solitons. The results show that the SSM is very reliable, simple and can be functionalized to other nonlinear equations. It is verified that all the attained solutions are stable by modulation instability process. To enhance the physical description of solutions, some 3D, contour and 2D graphs are plotted by taking precise values of parameters using Maple 18.

Suggested Citation

  • Hamood Ur Rehman & Ifrah Iqbal & Suhad Subhi Aiadi & Nabil Mlaiki & Muhammad Shoaib Saleem, 2022. "Soliton Solutions of Klein–Fock–Gordon Equation Using Sardar Subequation Method," Mathematics, MDPI, vol. 10(18), pages 1-10, September.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:18:p:3377-:d:917343
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    References listed on IDEAS

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