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Regarding on the Results for the Fractional Clannish Random Walker’s Parabolic Equation and the Nonlinear Fractional Cahn‐Allen Equation

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  • Md. Nur Alam
  • Onur Alp İlhan
  • Md. Sabur Uddin
  • Md. Abdur Rahim

Abstract

In this research, the (Ψ, Φ)‐expansion scheme has been implemented for the exact solutions of the fractional Clannish Random Walker’s parabolic (FCRWP) equation and the nonlinear fractional Cahn‐Allen (NFCA) equation. Some new solutions of the FCRWP equation and the NFCA equation have been obtained by using this method. The diverse variety of exact outcomes such as intersection between rough wave and kinky soliton wave profiles, intersection between lump wave and kinky soliton wave profiles, soliton wave profiles, kink wave profiles, intersection between lump wave and periodic wave profiles, intersection between rough wave and periodic wave profiles, periodic wave profiles, and kink wave profiles are taken. Comparing our developed answers and that got in previously written research papers presents the novelty of our investigation. The above techniques could also be employed to get exact solutions for other fractional nonlinear models in physics, applied mathematics, and engineering.

Suggested Citation

  • Md. Nur Alam & Onur Alp İlhan & Md. Sabur Uddin & Md. Abdur Rahim, 2022. "Regarding on the Results for the Fractional Clannish Random Walker’s Parabolic Equation and the Nonlinear Fractional Cahn‐Allen Equation," Advances in Mathematical Physics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jnlamp:v:2022:y:2022:i:1:n:5635514
    DOI: 10.1155/2022/5635514
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    References listed on IDEAS

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    1. Hijaz Ahmad & Ali Akgül & Tufail A. Khan & Predrag S. Stanimirović & Yu-Ming Chu, 2020. "New Perspective on the Conventional Solutions of the Nonlinear Time-Fractional Partial Differential Equations," Complexity, Hindawi, vol. 2020, pages 1-10, October.
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