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<p>In this article, the fractional order (4+1) dimensional Fokas equation has been analyzed by using an efficient approach called Residual power series Method (RPSM). On Fokas equation, the remarkable dependence of modeling the tidal waves and ocean, especially long water waves and tsunami has been noticed. To study the wave groups in water through measurable depth, external or internal waves in oceans and rivers Fokas model can be utilized. To acquire the approximate solitary wave solutions the RPSM has been employed by using Caputo fractional derivative. The acquired results reveal the efficiency and simplicity of the suggested technique which is more conscientious to solve higher dimensional nonlinear ordinary as well as partial differential equations.</p>

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Travelling Wave Solution for Generalised (4+1) Dimensional Fractional Order Fokas Equation Using Residual Power Series method

  • 期刊论文

  • 发表日期：

    2025年1月23日

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  • Ashrita Patra,
  • Tapasi Pasayat

摘要

In this article, the fractional order (4+1) dimensional Fokas equation has been analyzed by using an efficient approach called Residual power series Method (RPSM). On Fokas equation, the remarkable dependence of modeling the tidal waves and ocean, especially long water waves and tsunami has been noticed. To study the wave groups in water through measurable depth, external or internal waves in oceans and rivers Fokas model can be utilized. To acquire the approximate solitary wave solutions the RPSM has been employed by using Caputo fractional derivative. The acquired results reveal the efficiency and simplicity of the suggested technique which is more conscientious to solve higher dimensional nonlinear ordinary as well as partial differential equations.