New optical soliton solutions to the space-time fractional perturbed Chen-Lee-Liu equation

Abundant optical soliton solutions to the fractional perturbed Chen-Lee-Liu equation with conformable derivative

“…Martínez et al [25] obtained analytical soliton solutions for the model (1.2) using the modified exp ( ( )) f x --expansion function method by introducing a new local fractional derivative. Khatun and Akbar [30]…”

“…The perturbed CLL equation finds utility across various domains, ranging from investigating optical soliton behavior and analyzing the nonlinear interactions within fiber optic cables for the development of control systems resilient to minor disturbances and examining the stability and features for chaotic systems. Moreover, in the realm of plasma physics, this equation serves as a tool to explore electromagnetic wave propagation, nonlinear dynamics of wave-particle interactions, and contributes to advancements in scientific endeavors leveraging plasma technologies [30]. The soliton solutions of CLL equation and its various modifications were studied by several researchers through different approaches, such as the generalized exponential rational function method [31], the enhanced Kudryashov's [32], the modified extended auxiliary equation mapping method [33], the extended simplest equation method [34] and others [35,36].…”

The solitary solutions for the stochastic fractional Chen Lee Liu model perturbed by multiplicative noise in optical fibers and plasma physics

“…Due to the importance of the Chen Lee Liu model in fiber optics and plasma physics, many authors have used several methods in order to acquire the analytical solutions for this model such as Laplace Adomian decomposition method 26 , chirped W shaped optical solitons 27 , Darboux transformation 28 , modified extended tanh-expansion method 29 , Sardar sub-equation method 30 , Riccati–Bernoulli and generalized tanh methods 31 , ( -expansion approach 32 , extended direct algebraic method 33 , and modified Khater method 34 .…”

Exact chirped solutions of perturbed Chen-Lee-Liu equation with refractive index

“…Yıldırım et al used seven integration schemes to get bright, dark, singular and combo-singular soliton solutions [41] . Khatun extracts videlicet periodic soliton, bell-shaped soliton, V-shaped soliton, anti-peakon soliton and compacton by means of the potential -expansion approach [42] . In this work, by applying the complete discrimination system for polynomial [43] , [44] , we obtain some new chirped solutions to the perturbed Chen-Lee-Liu equation with refractive index, including singular solutions, solitary wave solutions and elliptic function double periodic solutions.…”