Daniela Milovic

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The solitons in alpha-helix proteins that are governed by the nonlinear Schrödinger's equation is investigated in presence of perturbation terms in this paper. The integration of this perturbed nonlinear Schrödinger's equation is carried out. The solitary wave ansatz is used to carry out the integration and the parameter domain is identified.
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(More)
In this paper we propose 2D constellation design based on geometric lattice for circularly symmetric sources as it allows easier performance evaluation. Geometric Z lattice quantization of Gaussian source is analyzed. Constellation design provides lower energy for the same error probability. It enables more efficient data transmission and energy saving for(More)
Analytical solutions to the (3 + 1)-dimensional Gross-Pitaevskii equation in the presence of chirp and for different diffraction and potential functions are found. We utilize a method we formulated to solve the Riccati equation for the chirp function that arises when the F-expansion technique and the homogeneous balance principle are applied to the(More)
The theoretical possibility of existence of optical solitons in a dielectric dispersive fiber was first predicted by Hasegawa and Tappert [4]. A couple of years later Mollenauer et al succesfully performed the famous experiment to verify this prediction [4]. Important characterestic properties of these solitons are that they posses a localized waveform(More)
The bifurcation analysis of the K (m, n) equation, which serves as a generalized model for the Korteweg-de Vries equation describing the dynamics of shallow water waves on ocean beaches and lake shores, is carried out in this paper. The phase portraits are given and solitary wave solutions are obtained. Singular periodic wave solutions are also given in(More)