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Abstract <p>In this study, we have successfully utilized the improved Bernoulli sub-equation function method to address the (2 + 1)-dimensional integro-differential Jaulent-Miodek equation. Aiming to identify some new exact traveling wave solutions for the investigated model. To achieve this, we originally transformed the addressed model into a fourth-order nonlinear partial differential equation using an integral transformation. A traveling wave transformation then converted this into a fourth-order nonlinear ordinary differential equation. We have conducted numerical simulations to demonstrate the applicability and effectiveness of the newly developed method. The resulting soliton solutions are illustrated through various dimensional figures. The results demonstrate how effectively the employed technique computes traveling wave solutions.</p>

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A Study on the (2+1)-Dimensional Integro-Differential Jaulent-Miodek Equation

  • 期刊论文

  • 发表日期：

    2026年3月1日

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  • T. Tanriverdi,
  • A. A. Mahmud,
  • K. A. Muhamad,
  • H. M. Baskonus,
  • H. Menken

摘要

Abstract

In this study, we have successfully utilized the improved Bernoulli sub-equation function method to address the (2 + 1)-dimensional integro-differential Jaulent-Miodek equation. Aiming to identify some new exact traveling wave solutions for the investigated model. To achieve this, we originally transformed the addressed model into a fourth-order nonlinear partial differential equation using an integral transformation. A traveling wave transformation then converted this into a fourth-order nonlinear ordinary differential equation. We have conducted numerical simulations to demonstrate the applicability and effectiveness of the newly developed method. The resulting soliton solutions are illustrated through various dimensional figures. The results demonstrate how effectively the employed technique computes traveling wave solutions.