Click here to view fulltext PDF

Permanent link:
https://www.ias.ac.in/article/fulltext/pram/094/0029

Biswas–Arshed model; first integral method; functional variable method; travelling wave solutions.

This paper scrutinises the newly proposed Biswas–Arshed model for soliton propagation through optical fibres,with small group velocity dispersion and in the absence of self-phase modulation. Spatio-temporal dispersions of higher order are considered to balance with group velocity dispersion. First integral and functional variable methods are employed to recover solitary wave, shock wave, singular wave and singular periodic wave solutions for the two nonlinear forms of the model through Kerr law and power-law nonlinearity. The constraint relations are also figured for the manifestation of these optical solutions.

MUHAMMAD TAHIR¹ AZIZ ULLAH AWAN¹

1. Department of Mathematics, University of the Punjab, Lahore 54590, Pakistan

Published

25 January 2020

Manuscript received

15 June 2019

Manuscript revised

4 September 2019

Accepted

10 October 2019

Early published

Unedited version published online

Final version published online

20 January 2020