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<p>In this paper, two hybrid techniques are implemented to address the solutions of the fractional-order Kundu–Eckhaus equation and massive Thirring models. Method I is considered the Laplace HPM in the Caputo sense, and Method II is taken as the Laplace HPM in the Caputo–Fabrizio sense. For the time-fractional Kundu–Eckhaus equation, it is claimed that when the value of the fractional-order derivative gets closer to 1, good compatibility is achieved between the approximated and exact profiles via Method I. This is a robust claim of the convergence of the solutions via the proposed Method I. These proposed methods are good alternatives to traditional numerical methods, which have high computational cost and contain discretization, linearization, and quasi-linearization errors.</p>

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SERIES SOLUTION OF FRACTIONAL-ORDER KUNDU–ECKHAUS EQUATION AND MASSIVE THIRRING MODELS VIA THE LAPLACE HOMOTOPY PERTURBATION METHOD

  • 期刊论文

  • 发表日期：

    2026年3月3日

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  • Mamta Kapoor

摘要

In this paper, two hybrid techniques are implemented to address the solutions of the fractional-order Kundu–Eckhaus equation and massive Thirring models. Method I is considered the Laplace HPM in the Caputo sense, and Method II is taken as the Laplace HPM in the Caputo–Fabrizio sense. For the time-fractional Kundu–Eckhaus equation, it is claimed that when the value of the fractional-order derivative gets closer to 1, good compatibility is achieved between the approximated and exact profiles via Method I. This is a robust claim of the convergence of the solutions via the proposed Method I. These proposed methods are good alternatives to traditional numerical methods, which have high computational cost and contain discretization, linearization, and quasi-linearization errors.