In:
Modern Physics Letters B, World Scientific Pub Co Pte Ltd, Vol. 34, No. 17 ( 2020-06-20), p. 2050183-
Abstract:
In this letter, we study a (2[Formula: see text]+[Formula: see text] 1)-dimensional variable-coefficient nonlinear Schrödinger system, which describes an optical beam inside the two-dimensional graded-index waveguide with polarization effects. Through the Kadomtsev–Petviashvili hierarchy reduction, the [Formula: see text] dark–dark soliton and [Formula: see text] bright-dark soliton solutions in terms of the Gramian are obtained, where [Formula: see text] is a positive integer. We analyze the interaction and propagation of the dark–dark solitons graphically. With the different values of the diffraction coefficient [Formula: see text] , periodic-, cubic- and parabolic-shaped dark–dark solitons are derived. With the different values of the gain/loss coefficient [Formula: see text], periodic- and arctangent-profile background waves are obtained. Moreover, we discuss the effects from the dimensionless beam width [Formula: see text] , [Formula: see text] and [Formula: see text] on the solitons and background waves: Shapes of the solitons are affected by [Formula: see text] and [Formula: see text] , while profiles of the background waves are affected by [Formula: see text] and [Formula: see text] .
Type of Medium:
Online Resource
ISSN:
0217-9849
,
1793-6640
DOI:
10.1142/S0217984920501833
Language:
English
Publisher:
World Scientific Pub Co Pte Ltd
Publication Date:
2020
