Abstract
The present paper focuses on the chirped soliton solutions of the Fokas–Lenells equation in the presence of perturbation terms. A complex envelope traveling-wave solution is used to reduce the governing equation to an ordinary differential equation (ODE). An auxiliary equation in the form of a first-order nonlinear ODE with six-degree terms is implemented as a solution method. Various types of chirped soliton solutions including bright, dark, kink and singular solitons are extracted. The associated chirp is also determined for each of these optical pulses. Restrictions for the validity of chirped soliton solutions are presented.
Highlights
The soliton, which is one of the ubiquitous natural phenomena in daily life, has attracted much more attention due to its significant role in the physical and industrial applications like optical fibers [1], optical metamaterials [2, 3] and many others
A lot of intensive studies are devoted to the family of nonlinear Schrödinger (NLS) equation as it is the governing equation that describes the soliton propagation in many branches of science, e.g. nonlinear optics
The reason is that the chirped pulses can be valuable in many technical applications such as the design of fiber-optic amplifiers, optical pulse compressors and solitary wave-based communications links
Summary
The soliton, which is one of the ubiquitous natural phenomena in daily life, has attracted much more attention due to its significant role in the physical and industrial applications like optical fibers [1], optical metamaterials [2, 3] and many others. Various powerful tools are developed to analyze the NLS models and to calculate their exact solutions. Such techniques include the extended trial function method [4], a modified simple equation method [5], the tanh–coth method [6, 7], the projective Riccati equations method [8], a new generalized exponential rational function method [9, 10], the Lie group method [11, 12], the Weierstrass elliptic function method [13], a new mapping method and a new auxiliary equation method [14].
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