Abstract-This paper studies optical solitons, in presence of higher order dispersion terms by the aid of He's semi-inverse variational principle. Both Kerr law and power law are taken into consideration. The numerical simulations are also given to complete the analysis.
In this paper we have investigated the propagation properties of chirped super Gaussian soliton pulses through semiconductor doped glass fibers which is a dispersive medium with cubic quintic nonlinearity. Using variational principle, the evolution equations of the soliton parameters such as amplitude, temporal width, position of centre, chirp etc. have been derived. The dynamics of these parameters have been analysed. Employing linear stability analysis we have shown that super Gaussian solitons are stable in semiconductor doped glass fibers.
Using a computerized symbolic computation technique based on improved Jacobi elliptic function method, we find several solutions for Whitham-Broer-Kaup-Like (WBKL) system. These solutions contain hyperbolic, triangular solutions. When the parameters are taken as special values the solitary wave solutions can be obtained for other systems. The traveling wave solutions are also discussed that obtains solitary wave and singular soliton solution.Keywords: Jacobi elliptic functions method, Nonlinear physical phenomena, Broer-Kaup (BK) system, Whitham-Broer-Kaup-Like system, Whitham-Broer-Kaup system, the classical long-wave system, the variant Boussinesq system and the dispersive long wave system
Abstract-The transmission speed of optical networks strongly depends on the impact of higher order dispersion. In the presence of coherent interference which can't be kept under control by optical filtering, the impact of higher order dispersion becomes more serious. In this paper we give general expressions that describe pulse deformation due to even higher order dispersion in a single-mode fiber. The impulsive responses for even order dispersion in the presence of coherent interference are characterized by symmetrical waveforms with long trailing skirts. Individual and joint influence of second and fourth order dispersion on the transmission quality is studied. Pulse shape and eye diagram are obtained.
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