In:
Modern Physics Letters B, World Scientific Pub Co Pte Ltd, Vol. 30, No. 24 ( 2016-09-10), p. 1650312-
Abstract:
In this paper, a fifth-order variable-coefficient nonlinear Schrödinger equation is investigated, which describes the propagation of the attosecond pulses in an optical fiber. Via the Hirota’s method and auxiliary functions, bilinear forms and dark one-, two- and three-soliton solutions are obtained. Propagation and interaction of the solitons are discussed graphically: We observe that the solitonic velocities are only related to [Formula: see text], [Formula: see text] , [Formula: see text] and [Formula: see text] , the coefficients of the second-, third-, fourth- and fifth-order terms, respectively, with [Formula: see text] being the scaled distance, while the solitonic amplitudes are related to [Formula: see text] , [Formula: see text], [Formula: see text] , [Formula: see text] as well as the wave number. When [Formula: see text] , [Formula: see text], [Formula: see text] and [Formula: see text] are the constants, or the linear, quadratic and trigonometric functions of [Formula: see text] , we obtain the linear, parabolic, cubic and periodic dark solitons, respectively. Interactions between (among) the two (three) solitons are depicted, which can be regarded to be elastic because the solitonic amplitudes remain unchanged except for some phase shifts after each interaction in an optical fiber.
Type of Medium:
Online Resource
ISSN:
0217-9849
,
1793-6640
DOI:
10.1142/S0217984916503127
Language:
English
Publisher:
World Scientific Pub Co Pte Ltd
Publication Date:
2016
Permalink
