Solitonska teorija smetnje za Kawahara-ovu jednadžbu

The Kawahara equation is studied along with its perturbation terms. The adiabatic dynamics of the soliton amplitude and the velocity of the soliton is obtained by the aid of soliton perturbation theory.Proučavamo Kawahara-ovu jednadžbu s članovima smetnje. Izveli smo adijabatsku dinamiku solitonske amplitude i brzinu solitona primjenom solitonske teorije smetnje

Solitonska teorija smetnje za Kawahara-ovu jednadžbu

The Kawahara equation is studied along with its perturbation terms. The adiabatic dynamics of the soliton amplitude and the velocity of the soliton is obtained by the aid of soliton perturbation theory.Proučavamo Kawahara-ovu jednadžbu s članovima smetnje. Izveli smo adijabatsku dinamiku solitonske amplitude i brzinu solitona primjenom solitonske teorije smetnje

Influence of Even-Order Dispersion on Super-Sech Soliton Transmission Quality under Coherent Crosstalk

The transmission speed of optical network strongly depends on the impact of higher order dispersion. In presence of coherent crosstalk, which cannot be otherwise controlled by optical filtering, the impact of higher order dispersions becomes more pronounced. In this paper, the general expressions, that describe pulse deformation due to second- and fourth-order dispersions in a single-mode fiber, are given. The responses for such even-order dispersions, in presence of coherent crosstalk, are characterized by waveforms with long trailing edges. The transmission quality of optical pulses, due to both individual and combined influence of second- and fourth-order dispersions, is studied in this paper. Finally, the pulse shape and eye diagrams are obtained

Generalization of the Hartree Fock approach to atomic collisions

The conventional Hartree and Hartree-Fock approaches for treating many-electron bound systems have been extended recently to positive energy scattering problems, in which both the bound and continuum orbitals are determined in a fully self-consistent way. In the present study, this generalized self-consistent field (SCF) theory is been tested for electron-hydrogen and positron-hydrogen scattering at low energies, where the target wave function is assumed unknown and solved self-consistently, together with the scattering function. Our results show that the SCF theory converges to the correct amplitudes and to the exact boundary conditions as more configurations are added. A quasi-bound property on the phase shift is observed. This justifies a posteriori the use of the amputated functions and the weak asymptotic condition (WAC), upon which the generalized SCF theory is based. We then apply the theory to the more complex positron-helium and electron-helium scattering systems, where the helium target function is again calculated simultaneously with the scattering function.

Singular solitons and bifurcation analysis of quadratic nonlinear Klein-Gordon equation

This paper studies the Klein-Gordon equation with quadratic nonlinearity. The ansatz approach is used to first obtain the singular soliton solution of the equation along with the corresponding domain restriction. The bifurcation analysis is also carried out. By this analysis, a few more traveling wave solutions are retrieved. The bifurcation phase portraits are also given

Research Letter Influence of Even-Order Dispersion on Super-Sech Soliton Transmission Quality under Coherent Crosstalk

Recommended by Gang-Ding Peng The transmission speed of optical network strongly depends on the impact of higher order dispersion. In presence of coherent crosstalk, which cannot be otherwise controlled by optical filtering, the impact of higher order dispersions becomes more pronounced. In this paper, the general expressions, that describe pulse deformation due to second-and fourth-order dispersions in a single-mode fiber, are given. The responses for such even-order dispersions, in presence of coherent crosstalk, are characterized by waveforms with long trailing edges. The transmission quality of optical pulses, due to both individual and combined influence of second-and fourth-order dispersions, is studied in this paper. Finally, the pulse shape and eye diagrams are obtained