Investigating of highly dispersive solitons for concatenation model with power law nonlinearity using improved modified extended tanh-function method

Articles in Press

Document Type : Research Paper

Authors

1 Department of Physics and Engineering Mathematics, Higher Institute of Engineering,El-Shorouk Academy, El-Shorouk, Cairo, Egypt.

2 Department of Mathematics and Engineering Physics, Faculty of Engineering, Aim Shams University, Cairo, Egypt.

3 Department of Mathematics, Faculty of Science, Helwan University, Cairo, Egypt.

4 Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran.

Abstract

This research examines the phenomenon of optical solitons in the framework of the dispersive concatenation model, which incorporates three established models: the Lakshmanan-Porsezian-Daniel equation (LPDE), the Hirota equation (HE) and the nonlinear Schr\"{o}dinger equation (NLSE). The improved modified extended tanh scheme (IMETS) is utilized to derive solitons and other solutions for the investigated model. Many types of solutions are extracted with the help of the IMETS. These solutions including \{dark, bright and singular\} solitons, Weierstrass elliptic and singular periodic solutions. The nature of the extracted solutions is illustrated by introducing both 2D and 3D graphical representations and setting the parameters with appropriate values.

Keywords

Main Subjects

Computational Methods for Differential Equations

Articles in Press, Accepted Manuscript
Available Online from 23 November 2024

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History

  • Receive Date: 18 April 2024
  • Revise Date: 04 October 2024
  • Accept Date: 12 November 2024

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