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Bright optical solitons of Chen-Lee-Liu equation with improved Adomian decomposition method
摘要： Optical solitons form the basic fabric in telecommunication industry. It represents a nonlinear pulse or wave packet and travels without changing its shape and velocity across intercontinental distances [1-25]. The unique property of optical solitons is that they interact like particles [6]. One of the models that stems from nonlinear Schrodinger’s equation and is commonly referred to as one of the forms of derivative nonlinear Schrodinger’s equation. It is the Chen-Lee-Liu (CLL) equation [1] and plays vital role in plasmas and optical fiber communications [3-4]. Recently, there has been a significant increase in interest with this model. The focus however is mainly on the analytical aspect and retrieval of soliton solutions to the model. One can find in [7-16] and the references therein where studies related to W-shaped optical solitons, combined optical solitary waves and conservation laws, chirped W-shaped optical solitons, chirped dark and gray solitons, Laplace-Adomian decomposition method, semi-inverse variational principle and Darboux transformation among others are discussed. However, with the increasing interests on efficient numerical techniques for solving nonlinear evolution equations, we consider an algorithm based on the Improved Adomian Decomposition Method (IADM) that was later investigated in [18-19, 2-23] to numerically treat the CLL equation. The recursive algorithm for the model will be determined coupled with error analyses for some special bright optical soliton solutions that are available in the literature.
关键词： bright solitons,Adomian decomposition,numerics.
更新于2025-09-23 15:23:52
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Dark–bright solitons in spinor polariton condensates under nonresonant pumping
摘要： By adopting a mean-field Gross-Pitaevskii description of spinor polariton Bose-Einstein condensates under nonresonant pumping, we investigate the static and dynamical properties of dark-bright (DB) solitons. We derive the equation of motion for the center of mass of the DB solitons' center analytically by using the Hamiltonian approach. The resulting equation captures how the combination of the open-dissipative character and the spin degrees of freedom of a polariton Bose-Einstein condensate affects the properties of DB solitons, i.e. DB solitons relax by blending with the background at a finite time. In this case, we also determine the lifetime of the DB solitons. Further numerical solutions of the modified dissipative two-component Gross-Pitaevskii equations are in excellent agreement with the analytical results. In the presence of the Langevin noise, we demonstrate that the DB solitons can still propagate for a long time, which is sufficient for their experimental observations within current facilities.
关键词： polariton Bose-Einstein condensate,dark-bright solitons,mean-field method,stochastic GP equations
更新于2025-09-23 15:22:29