Different solutions to the conformable generalized (3 + 1) -dimensional Camassa-Holm-Kadomtsev-Petviashvili equation arising in shallow-water waves

  • Mehmet Şenol*
  • , Mehmet Gençyiǧit
  • , Shahzad Sarwar
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

This paper employed the exp(-φ(ζ))-expansion, Riccati equation, (G′/G)-expansion, and modified Kudryashov methods to find new exact solution sets for the conformable generalized (3 + 1)-dimensional Camassa-Holm-Kadomtsev-Petviashvili equation. The accuracy of the results has been demonstrated using a variety of graphical representations. These newly obtained solutions can be applied to further research and understand the dynamics of the Camassa-Holm-Kadomtsev-Petviashvili equation, which arises in ocean and water wave theory, hydrodynamics, plasma physics, nonlinear sciences, and engineering. The presented four methods are straightforward, robust, and successful in getting analytical solutions to nonlinear fractional differential equations, as the analytical results indicate.

Original languageEnglish
Article number2350154
JournalInternational Journal of Geometric Methods in Modern Physics
Volume20
Issue number9
DOIs
StatePublished - 1 Aug 2023

Bibliographical note

Publisher Copyright:
© 2023 World Scientific Publishing Company.

Keywords

  • (G ′ / G) -expansion method
  • Exp (- φ (ζ)) -expansion method
  • Riccati equation method
  • conformable derivative
  • generalized (3 + 1) -dimensional Camassa-Holm-Kadomtsev-Petviashvili equation
  • modified Kudryashov method

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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