International Journal of Nonlinear Analysis and Applications

A new study for various solutions of the extended Korteweg-de Vries equation with conformable derivative

Articles in Press

Document Type : Research Paper

Authors

Department of Mathematics, Faculty of Sciences, Gonbad Kavous University, Gonbad, Iran

Abstract

The extended fractional Korteweg–de Vries (K-dV) equation is examined in this paper through the Jacobi elliptic method. This approach is a powerful technique capable of generating multiple forms of solutions, making it highly useful for representing various types of wave behaviors. The graphical interpretations clearly illustrate the dynamics of the obtained solutions. To the best of our knowledge, this work is the first to provide exact analytical solutions for the fractional K-dV equation, and the findings hold significant theoretical and practical value in areas such as optical signal transmission, plasma wave dynamics, and ocean wave propagation.

Keywords

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International Journal of Nonlinear Analysis and Applications

Articles in Press, Corrected Proof
Available Online from 24 December 2025
  • Receive Date: 23 September 2024
  • Accept Date: 01 November 2024