Zobrazeno 1 - 10
of 71
pro vyhledávání: '"Khawaja, U. Al"'
We investigate the interaction between two flat-top solitons within the cubic-quintic nonlinear Schr\"odinger equation framework. Our study results point towards a significant departure of flat-top solitons collisional characteristics from the conven
Externí odkaz:
http://arxiv.org/abs/2410.18290
Superfluid and dissipative regimes in the dynamics of a two-component quasi-one-dimensional Bose-Einstein condensate (BEC) with unequal atom numbers in the components have been explored. The system supports localized waves of the symbiotic type owing
Externí odkaz:
http://arxiv.org/abs/2406.07204
We numerically demonstrate the unidirectional flow of flat-top solitons when interacting with two reflectionless potential wells with slightly different depths. The system is described by a nonlinear Schr\"{o}dinger equation with dual nonlinearity. T
Externí odkaz:
http://arxiv.org/abs/2305.17234
Autor:
Sakkaf, L. Al, Khawaja, U. Al
We identify a class of potentials for which the scattering of flat-top solitons and thin-top solitons of the nonlinear Schr\"odinger equation with dual nonlinearity can be reflectionless. The scattering is characterized by sharp resonances between re
Externí odkaz:
http://arxiv.org/abs/2212.08840
Autor:
Sakkaf, L. Al, Khawaja, U. Al
We obtain the spectrum of bound states for a modified P\"oschl-Teller and square potential wells in the nonlinear Schr\"odinger equation. For a fixed norm of bound states, the spectrum for both potentials turns out to consist of a finite number of mu
Externí odkaz:
http://arxiv.org/abs/2201.02678
We investigate theoretically and numerically quantum reflection of dark solitons propagating through an external reflectionless potential barrier or in the presence of a position-dependent dispersion. We confirm that quantum reflection occurs in both
Externí odkaz:
http://arxiv.org/abs/2201.02674
Autor:
Sakkaf, L. Al, Khawaja, U. Al
We develop a high accuracy power series method for solving partial differential equations with emphasis on the nonlinear Schr\"odinger equations. The accuracy and computing speed can be systematically and arbitrarily increased to orders of magnitude
Externí odkaz:
http://arxiv.org/abs/2108.13174
Publikováno v:
IEEE J. Sel. Top. Quantum Electron (2020)
We find Skyrmion-like topological excitations for a two-dimensional spin-1/2 system. Expressing the spinor wavefunction in terms of a rotation operator maps the spin-1/2 system to a Manakov system. We employ both analytical and numerical methods to s
Externí odkaz:
http://arxiv.org/abs/2108.01456
Publikováno v:
Phys. Scr., 95, 085107 (2020)
We present a design and protocol to add binary numbers using discrete solitons in waveguide arrays. We show that the nonlinear interaction between discrete solitons in waveguide arrays can be exploited to design half and full adders. By modulating th
Externí odkaz:
http://arxiv.org/abs/2108.01406
Publikováno v:
Phys. Lett. A, 384, 126654 (2020)
We present a design and protocol to achieve an essential feature of an optical transistor, namely the amplification of input signal with the use of discrete solitons in waveguide arrays. We consider the scattering of a discrete soliton by a reflectio
Externí odkaz:
http://arxiv.org/abs/2108.01395