On traveling wave solutions: the decoupled nonlinear Schrödinger equations with inter modal dispersion

Document Type : Research Paper

Authors

1 Neighbourhood of Akcaglan, Imarli Street, Number: 28/4, 26030, Eskisehir, Turkey.

2 Punjab University College of Information Technology, University of the Punjab, 54590 Lahore, Pakistan.

3 Mathematics Department, COMSATS University Islamabad, Lahore Campus, Pakistan.

4 Mathematics Department, National University of Computer and Emerging Sciences, Lahore, Pakistan.

5 Department of Space Science, University of the Punjab, 54590 Lahore, Pakistan.

Abstract

In this article, the decoupled nonlinear Schrdingers equations have been considered that describe the model of dual-core fibers with group velocity mismatch, group velocity dispersion, and spatio-temporal dispersion. These equations are analyzed using two different integrations schemes, namely, extended tanh-function and sinecosine schemes. The different kind of traveling wave solutions: solitary, topological, periodic and rational, fall out as by-product of these schemes. Finally, the existence of the solutions for the constraint conditions is also shown.

Keywords

Computational Methods for Differential Equations
Volume 9, Issue 1
January 2021
Pages 52-62

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History

  • Receive Date: 05 July 2019
  • Revise Date: 15 January 2020
  • Accept Date: 27 January 2020

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