Periodic Amplifications of Attosecond Three Soliton in an Inhomogeneous Nonlinear Optical Fiber

Abstract

AbstractWe show the periodic amplification of attosecond three solitons in an inhomogeneous optical fiber which is can be governed by nonlinear Schrödinger equation with higher order linear and nonlinear effects. Through AKNS method, we construct the Lax pair for higher order inhomogeneous nonlinear Schrödinger equation. Based on Lax pair, three soliton solutions are attained by means of Darboux transformation (DT) method. By properly tailoring the dispersion and nonlinear profiles, periodic amplifications of three solitons are demonstrated through some graphical illustrations. Especially, three soliton interactions are portrayed via 2D and 3D plots. Results attained through this work will be potentially useful in the field of soliton amplifications by soliton control and management. Also, we clearly observed that the impact of variable coefficients on attosecond soliton dynamics.KeywordsOptical solitonsAttosecond solitonLax pairDarboux transformationSoliton managementAmplification