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In this article, reduced differential transform method (RDTM) has been applied to obtain the approximate solution of the Kawahara KdV and modified Kawahara KdV equation. The results acquired through RDTM have been compared with the exact solitary wave solutions for Kawahara KdV and modified Kawahara KdV equation. Analysis of the results reveal that RDTM is quite efficient, reliable, and optimistic method for solving various linear and nonlinear partial differential equations. RDTM gives analytical approximation and in many situations exact solution. It reduces the cumbersome calculations which we have to do in other existing methods.

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Approximate Solution of Kawahara KdV and Modified Kawahara KdV Equation by Using RDTM

  • 会议论文

  • 发表日期：

    2025年

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  • Ritu,
  • Amit Tomar,
  • Deepak Kumar

摘要

In this article, reduced differential transform method (RDTM) has been applied to obtain the approximate solution of the Kawahara KdV and modified Kawahara KdV equation. The results acquired through RDTM have been compared with the exact solitary wave solutions for Kawahara KdV and modified Kawahara KdV equation. Analysis of the results reveal that RDTM is quite efficient, reliable, and optimistic method for solving various linear and nonlinear partial differential equations. RDTM gives analytical approximation and in many situations exact solution. It reduces the cumbersome calculations which we have to do in other existing methods.