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Application of modified exponential rational function method to Jaulent–Miodek system leading to exact classical solutions

Author

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  • Iqbal, Muhammad S.
  • Seadawy, Aly R.
  • Baber, Muhammad Z.
  • Qasim, Muhammad

Abstract

The Jaulent–Miodek (JM) system is investigated analytically in this study. The JM equation comes with energy-dependent Schrödinger potential which is used in fluid dynamics, optics, condensed matter physics and engineering systems. As a result, it is critical to investigate this dynamical problem from a mathematical point of view. The generalized exponential rational function method is applied to extract the exact solutions of JM system. These exact traveling wave solutions are successfully extracted in the form of trigonometric, hyperbolic, rational, and exponential functions. The suitable choices of parameters are granted to draw the plots of some solutions. The physical behaviors of these solutions are shown physically, which are helpful to understand the physical phenomena of these dynamical model which are arisen in the mathematical physics.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:chsofr:v:164:y:2022:i:c:s0960077922007883
    DOI: 10.1016/j.chaos.2022.112600
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    References listed on IDEAS

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    Cited by:

    1. Zainab, Iqra & Akram, Ghazala, 2023. "Effect of β-derivative on time fractional Jaulent–Miodek system under modified auxiliary equation method and exp(−g(Ω))-expansion method," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    2. Tahira Sumbal Shaikh & Muhammad Zafarullah Baber & Nauman Ahmed & Naveed Shahid & Ali Akgül & Manuel De la Sen, 2023. "On the Soliton Solutions for the Stochastic Konno–Oono System in Magnetic Field with the Presence of Noise," Mathematics, MDPI, vol. 11(6), pages 1-21, March.

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