Anjan Biswas

Mathematical theory of dispersion-managed optical solitons

Nonlinear Schrodingers Equation.- Polarization Preserving Fibers.- Birefringent Fibers.- Multiple Channels.- Optical Crosstalk.- Gabitov-Turitsyn Equation.- Quasi-linear Pulses.- Higher Order Gabitov-Turitsyn Equations.

Solitons in Nonlinear Directional Couplers with Optical Metamaterials by Trial Function Scheme

Solitons in Nonlinear Directional Couplers with Optical Metamaterials by Trial Function Scheme A.H. Arnous, M. Ekici, S.P. Moshokoa, M. Zaka Ullah, A. Biswasc,d∗and M. Belic Department of Physics and Engineering Mathematics, Higher Institute of Engineering, El-Shorouk, Cairo, Egypt Department of Mathematics, Faculty of Science and Arts, Bozok University, 66100 Yozgat, Turkey Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria-0008, South Africa Operator Theory and Applications Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box-80203, Jeddah-21589, Saudi Arabia Science Program, Texas A&M University at Qatar, P.O. Box 23874, Doha, Qatar

Chirped bright and double-kinked quasi-solitons in optical metamaterials with self-steepening nonlinearity

ABSTRACT Considering the self-steepening effect in a metamaterial (MM) can significantly change its behaviour. We study the propagation of ultrashort pulses in nonlinear MMs that is governed by a generalized nonlinear Schrö dinger equation with higher order effects such as pseudo-quintic nonlinearity and self-steepening effect. A class of chirped quasi-soliton solutions is obtained in the presence of the self-steepening term, and some of which are derived for the first time. The solutions comprise chirped bright quasi-solitons on a constant and zero background, kink and anti-kink quasi-solitons, and double-kink quasi-solitons. It is found that the nonlinear chirp associated with each of these waves is directly proportional to the intensity and its amplitude can be controlled by selecting the self-steepening and dispersion coefficients. Particular cases of chirp-free quasi-solitons are discussed. The conditions on MM parameters for the formation of these structures are also presented. The obtained results are important to explore much richer localized light pulses in MMs.

Phase shift, amplification, oscillation and attenuation of solitons in nonlinear optics

Graphical abstract Interactions between solitons can be controlled through adjusting the phase shift of solitons.