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Dynamic soliton solutions for the modified complex Korteweg-de Vries system

  • Ibrahim Sani Ibrahim
  • , Jamilu Sabi’u
  • , Yusuf Ya’u Gambo
  • , Shahram Rezapour*
  • , Mustafa Inc*
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

In this study, we studied the (2+1)-dimensional complex modified Korteweg-de Vries (cmKdV) system using the improved Ricatti equation method. cmKdV are nonlinear and coupled partial differential equations that arise in various fields of applied science and engineering, such as ferromagnetic materials and optical fibers. When the method is applied to cmKdV, we successfully derive exact soliton solutions that accurately describe the wave propagation behavior of the system under consideration. The obtained results include trigonometric and hyperbolic function solutions. The results obtained are concise and offer a deeper insight into the dynamics and characteristics of cmKdV. Traveling wave solitons are plotted in 2D and 3D to demonstrate the wave propagation phenomena in the cmKdV model, which are in the form of kink, bright, dark, singular solitons, and periodic solitary wave structures.

Original languageEnglish
Article number954
JournalOptical and Quantum Electronics
Volume56
Issue number6
DOIs
StatePublished - Jun 2024
Externally publishedYes

Bibliographical note

Publisher Copyright:
© The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2024.

Keywords

  • Bright solitons
  • Hyperbolic function
  • Improved Riccati equation method
  • Soliton solutions
  • The (2+1)-dimensional cmKdV system

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics
  • Electrical and Electronic Engineering

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