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<p>The bright and dark soliton solutions are claimed in this research regarding the sixth-order dispersive (3+ 1)-dimensional nonlinear time-fractional Schrödinger equation with cubic-quintic-septic nonlinearities. For this purpose, Yang homotopy perturbation method is implemented. This method is a fusion of Yang transform and homotopy perturbation method. Unlike the traditional numerical methods, this method has produced the discretization free and linearization free results which is meaningfulness of this method. Furthermore, the numerical convergence of the proposed method is also claimed in the paper.</p>

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IMPLEMENTATION OF YANG TRANSFORM WITH CAPUTO FABRIZIO SENSE UPON SIXTH-ORDER DISPERSIVE (3+ 1)-DIMENSIONAL NONLINEAR TIME-FRACTIONAL SCHRÖDINGER EQUATION WITH CUBIC-QUINTIC-SEPTIC NONLINEARITIES

  • 期刊论文

  • 发表日期：

    2025年6月3日

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  • Mamta Kapoor

摘要

The bright and dark soliton solutions are claimed in this research regarding the sixth-order dispersive (3+ 1)-dimensional nonlinear time-fractional Schrödinger equation with cubic-quintic-septic nonlinearities. For this purpose, Yang homotopy perturbation method is implemented. This method is a fusion of Yang transform and homotopy perturbation method. Unlike the traditional numerical methods, this method has produced the discretization free and linearization free results which is meaningfulness of this method. Furthermore, the numerical convergence of the proposed method is also claimed in the paper.