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<p>The article focuses on the behavior of the time-fractional geophysical Korteweg-de Vries equation (tfgKdV), a water wave equation incorporating a Coriolis parameter dependent on the Earth’s rotation. Two hybrid methods, the Laplace Homotopy Perturbation Method (LHPM) and the Sumudu Homotopy Perturbation Method (SHPM), are employed to obtain series-type solutions for the proposed model. Applying these two hybrid methods yields approximate series solutions that exhibit rapid convergence. The results obtained by both methods are compared with existing results in the literature and are in good agreement. The bifurcations exhibited by the proposed model at different levels of fractional orders demonstrate how these bifurcations are affected by the Coriolis parameter and how it influences the wave’s amplitude.</p>

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Solution Characteristics of Time-Fractional Geophysical KdV Equation with Coriolis Parameter Through Hybrid Methods

  • 期刊论文

  • 发表日期：

    2025年1月16日

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  • B. Bala Sai Sankar,
  • P. Karunakar

摘要

The article focuses on the behavior of the time-fractional geophysical Korteweg-de Vries equation (tfgKdV), a water wave equation incorporating a Coriolis parameter dependent on the Earth’s rotation. Two hybrid methods, the Laplace Homotopy Perturbation Method (LHPM) and the Sumudu Homotopy Perturbation Method (SHPM), are employed to obtain series-type solutions for the proposed model. Applying these two hybrid methods yields approximate series solutions that exhibit rapid convergence. The results obtained by both methods are compared with existing results in the literature and are in good agreement. The bifurcations exhibited by the proposed model at different levels of fractional orders demonstrate how these bifurcations are affected by the Coriolis parameter and how it influences the wave’s amplitude.