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May 16, 2026Scientific Reports0 citationsOpen Access

Analytical Solutions of Time-Fractional KdV Systems via Hybrid Transform Techniques

Analytical solutions of some time-fractional versions of the coupled KdV system of equations via two hybrid transform techniques

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Authors

KAK. ArunaNON. I. OkposoPVP. Veeresha

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Overview

Randomized trial demonstrates analytical solutions to time-fractional KdV equations, indicating method efficiency.

Key Points

  • This work aims to find analytical solutions for time-fractional coupled KdV equations using hybrid transform methods.
  • Utilized natural homotopy perturbation method (NHPM) and q-homotopy analysis transform method (q-HATM).
  • Applied iterative approaches to solve time-fractional coupled KdV equations and Kersten-Krasil’shchik equations.
  • Conducted numerical comparisons of obtained solutions with exact solutions.
  • Error estimates showed high accuracy of numerical solutions when fractional order is 1.
  • Graphical representations revealed dynamic behaviors of system wave profiles for different fractional parameter values.
  • Close approximations to exact solutions validated the efficiency of the applied methods.

Cite This Study

Aruna et al. (2026) studied this question.

synapsesocial.com/papers/6a0809f1a487c87a6a40bbf9https://doi.org/10.1038/s41598-026-44311-z
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