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Anjan Biswas - One of the best experts on this subject based on the ideXlab platform.
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cubic quartic optical solitons with differential group delay for kudryashov s model by extended Trial Function
Journal of Communications Technology and Electronics, 2020Co-Authors: Anjan Biswas, Mehmet Ekici, Abdullah Sonmezoglu, Abdullah K Alzahrani, Milivoj R BelicAbstract:This paper implements mathematically rigorous extended Trial Function algorithm to address cubic–quartic optical solitons in birefringent fibers having Kudryashov’s law of nonlinear refractive index. Three special cases of the power-law nonlinearity parameter are taken into consideration. Bright and singular optical solitons emerge from this analytical scheme.
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optical solitons with kudryashov s equation by extended Trial Function
Optik, 2020Co-Authors: Anjan Biswas, Mehmet Ekici, Abdullah Sonmezoglu, Ali Saleh Alshomrani, Milivoj R BelicAbstract:Abstract A new model, namely Kudryashov's equation, for securing optical solitons has been proposed. This paper obtains bright and singular optical solitons to the equation by extended Trial Function. The existence criteria for such solitons are also enumerated.
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optical solitons in fiber bragg gratings with dispersive reflectivity for parabolic nonlocal combo nonlinearity by extended Trial Function
Optik, 2019Co-Authors: Anjan Biswas, Mehmet Ekici, Abdullah Sonmezoglu, Ali Saleh Alshomrani, Milivoj R BelicAbstract:Abstract This paper displays bright and singular optical solitons in fiber Bragg gratings with dispersive reflectivity for parabolic–nonlocal combo nonlinearity. The extended Trial Function approach is the integration scheme adopted in this paper. The existence criteria for such solitons are indicated.
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optical solitons in fiber bragg gratings with dispersive reflectivity for cubic quintic septic nonlinearity by extended Trial Function
Optik, 2019Co-Authors: Anjan Biswas, Mehmet Ekici, Abdullah Sonmezoglu, Ali Saleh Alshomrani, Milivoj R BelicAbstract:Abstract This paper secured bright and singular soliton solutions to optical fiber Bragg gratings that is considered with cubic–quintic–septic form of nonlinear medium. The extended Trial Function scheme retrieves such soliton solutions. The existence criteria of these solitons are also presented.
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optical solitons in fiber bragg gratings with dispersive reflectivity for parabolic law nonlinearity by extended Trial Function method
Optik, 2019Co-Authors: Anjan Biswas, Mehmet Ekici, Abdullah Sonmezoglu, Milivoj R BelicAbstract:Abstract This paper applies extended Trial Function scheme to retrieve bright and singular optical soliton solutions to fiber Bragg gratings that maintains parabolic law nonlinearity. The existence criteria for the solitons are presented. Additional solutions, such as rational waves and periodic solutions, naturally emerge from the scheme as a byproduct.
Mehmet Ekici - One of the best experts on this subject based on the ideXlab platform.
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cubic quartic optical solitons with differential group delay for kudryashov s model by extended Trial Function
Journal of Communications Technology and Electronics, 2020Co-Authors: Anjan Biswas, Mehmet Ekici, Abdullah Sonmezoglu, Abdullah K Alzahrani, Milivoj R BelicAbstract:This paper implements mathematically rigorous extended Trial Function algorithm to address cubic–quartic optical solitons in birefringent fibers having Kudryashov’s law of nonlinear refractive index. Three special cases of the power-law nonlinearity parameter are taken into consideration. Bright and singular optical solitons emerge from this analytical scheme.
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optical solitons with kudryashov s equation by extended Trial Function
Optik, 2020Co-Authors: Anjan Biswas, Mehmet Ekici, Abdullah Sonmezoglu, Ali Saleh Alshomrani, Milivoj R BelicAbstract:Abstract A new model, namely Kudryashov's equation, for securing optical solitons has been proposed. This paper obtains bright and singular optical solitons to the equation by extended Trial Function. The existence criteria for such solitons are also enumerated.
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optical solitons in fiber bragg gratings with dispersive reflectivity for cubic quintic septic nonlinearity by extended Trial Function
Optik, 2019Co-Authors: Anjan Biswas, Mehmet Ekici, Abdullah Sonmezoglu, Ali Saleh Alshomrani, Milivoj R BelicAbstract:Abstract This paper secured bright and singular soliton solutions to optical fiber Bragg gratings that is considered with cubic–quintic–septic form of nonlinear medium. The extended Trial Function scheme retrieves such soliton solutions. The existence criteria of these solitons are also presented.
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optical solitons in fiber bragg gratings with dispersive reflectivity for parabolic nonlocal combo nonlinearity by extended Trial Function
Optik, 2019Co-Authors: Anjan Biswas, Mehmet Ekici, Abdullah Sonmezoglu, Ali Saleh Alshomrani, Milivoj R BelicAbstract:Abstract This paper displays bright and singular optical solitons in fiber Bragg gratings with dispersive reflectivity for parabolic–nonlocal combo nonlinearity. The extended Trial Function approach is the integration scheme adopted in this paper. The existence criteria for such solitons are indicated.
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optical solitons in fiber bragg gratings with dispersive reflectivity for parabolic law nonlinearity by extended Trial Function method
Optik, 2019Co-Authors: Anjan Biswas, Mehmet Ekici, Abdullah Sonmezoglu, Milivoj R BelicAbstract:Abstract This paper applies extended Trial Function scheme to retrieve bright and singular optical soliton solutions to fiber Bragg gratings that maintains parabolic law nonlinearity. The existence criteria for the solitons are presented. Additional solutions, such as rational waves and periodic solutions, naturally emerge from the scheme as a byproduct.
Alexander V Turbiner - One of the best experts on this subject based on the ideXlab platform.
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two charges on a plane in a magnetic field ii moving neutral quantum system across a magnetic field
Annals of Physics, 2015Co-Authors: M A Escobarruiz, Alexander V TurbinerAbstract:Abstract The moving neutral system of two Coulomb charges on a plane subject to a constant magnetic field B perpendicular to the plane is considered. It is shown that the composite system of finite total mass is bound for any center-of-mass momentum P and magnetic field strength; the energy of the ground state is calculated accurately using a variational approach. Its accuracy is cross-checked in a Lagrange-mesh method for B = 1 a.u. and in a perturbation theory at small B and P . The constructed Trial Function has the property of being a uniform approximation of the exact eigenFunction. For a Hydrogen atom and a Positronium a double perturbation theory in B and P is developed and the first corrections are found algebraically. A phenomenon of a sharp change of energy behavior for a certain center-of-mass momentum and a fixed magnetic field is indicated.
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An accurate few-parameter ground state wave Function for the Lithium atom
International Journal of Quantum Chemistry, 2009Co-Authors: Nicolais L Guevara, Frank E Harris, Alexander V TurbinerAbstract:A simple, seven-parameter Trial Function is proposed for a description of the ground state of the Lithium atom. It includes both spin Functions. Inter-electronic distances appear in exponential form as well as in a pre-exponential factor, and the necessary energy matrix elements are evaluated by numerical integration in the space of the relative coordinates. Encouragingly accurate values of the energy and the cusp parameters as well as for some expectation values are obtained. © 2009 Wiley Periodicals, Inc. Int J Quantum Chem, 2009
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an accurate few parameter ground state wave Function for the lithium atom
arXiv: Atomic Physics, 2009Co-Authors: Nicolais L Guevara, Frank E Harris, Alexander V TurbinerAbstract:A simple, seven-parameter Trial Function is proposed for a description of the ground state of the Lithium atom. It includes both spin Functions. Inter-electronic distances appear in exponential form as well as in a pre-exponential factor, and the necessary energy matrix elements are evaluated by numerical integration in the space of the relative coordinates. Encouragingly accurate values of the energy and the cusp parameters as well as for some expectation values are obtained.
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hydrogen atom in a magnetic field the quadrupole moment
Physical Review A, 2001Co-Authors: Alexander Y Potekhin, Alexander V TurbinerAbstract:The quadrupole moment of a hydrogen atom in a magnetic field B for field strengths from 0 to $4.414\ifmmode\times\else\texttimes\fi{}{10}^{13} \mathrm{G}$ is calculated by two different methods. The first method is variational, and based on a single Trial Function. The second method deals with a solution of the Schr\"odinger equation in the form of a linear combination of Landau orbitals.
Abdullah Sonmezoglu - One of the best experts on this subject based on the ideXlab platform.
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cubic quartic optical solitons with differential group delay for kudryashov s model by extended Trial Function
Journal of Communications Technology and Electronics, 2020Co-Authors: Anjan Biswas, Mehmet Ekici, Abdullah Sonmezoglu, Abdullah K Alzahrani, Milivoj R BelicAbstract:This paper implements mathematically rigorous extended Trial Function algorithm to address cubic–quartic optical solitons in birefringent fibers having Kudryashov’s law of nonlinear refractive index. Three special cases of the power-law nonlinearity parameter are taken into consideration. Bright and singular optical solitons emerge from this analytical scheme.
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optical solitons with kudryashov s equation by extended Trial Function
Optik, 2020Co-Authors: Anjan Biswas, Mehmet Ekici, Abdullah Sonmezoglu, Ali Saleh Alshomrani, Milivoj R BelicAbstract:Abstract A new model, namely Kudryashov's equation, for securing optical solitons has been proposed. This paper obtains bright and singular optical solitons to the equation by extended Trial Function. The existence criteria for such solitons are also enumerated.
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optical solitons in fiber bragg gratings with dispersive reflectivity for cubic quintic septic nonlinearity by extended Trial Function
Optik, 2019Co-Authors: Anjan Biswas, Mehmet Ekici, Abdullah Sonmezoglu, Ali Saleh Alshomrani, Milivoj R BelicAbstract:Abstract This paper secured bright and singular soliton solutions to optical fiber Bragg gratings that is considered with cubic–quintic–septic form of nonlinear medium. The extended Trial Function scheme retrieves such soliton solutions. The existence criteria of these solitons are also presented.
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optical solitons in fiber bragg gratings with dispersive reflectivity for parabolic nonlocal combo nonlinearity by extended Trial Function
Optik, 2019Co-Authors: Anjan Biswas, Mehmet Ekici, Abdullah Sonmezoglu, Ali Saleh Alshomrani, Milivoj R BelicAbstract:Abstract This paper displays bright and singular optical solitons in fiber Bragg gratings with dispersive reflectivity for parabolic–nonlocal combo nonlinearity. The extended Trial Function approach is the integration scheme adopted in this paper. The existence criteria for such solitons are indicated.
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optical solitons in fiber bragg gratings with dispersive reflectivity for parabolic law nonlinearity by extended Trial Function method
Optik, 2019Co-Authors: Anjan Biswas, Mehmet Ekici, Abdullah Sonmezoglu, Milivoj R BelicAbstract:Abstract This paper applies extended Trial Function scheme to retrieve bright and singular optical soliton solutions to fiber Bragg gratings that maintains parabolic law nonlinearity. The existence criteria for the solitons are presented. Additional solutions, such as rational waves and periodic solutions, naturally emerge from the scheme as a byproduct.
Jakob Yngvason - One of the best experts on this subject based on the ideXlab platform.
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the transition to a giant vortex phase in a fast rotating bose einstein condensate
Communications in Mathematical Physics, 2011Co-Authors: Michele Correggi, Nicolas Rougerie, Jakob YngvasonAbstract:We study the Gross-Pitaevskii (GP) energy Functional for a fast rotating Bose-Einstein condensate on the unit disc in two dimensions. Writing the coupling parameter as 1/e2 we consider the asymptotic regime e → 0 with the angular velocity Ω proportional to (e2|log e|)−1. We prove that if Ω = Ω0(e2|log e|)−1 and Ω0 > 2(3π)−1 then a minimizer of the GP energy Functional has no zeros in an annulus at the boundary of the disc that contains the bulk of the mass. The vorticity resides in a complementary ‘hole’ around the center where the density is vanishingly small. Moreover, we prove a lower bound to the ground state energy that matches, up to small errors, the upper bound obtained from an optimal giant vortex Trial Function, and also that the winding number of a GP minimizer around the disc is in accord with the phase of this Trial Function.
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the transition to a giant vortex phase in a fast rotating bose einstein condensate
arXiv: Mathematical Physics, 2010Co-Authors: Michele Correggi, Nicolas Rougerie, Jakob YngvasonAbstract:We study the Gross-Pitaevskii (GP) energy Functional for a fast rotating Bose-Einstein condensate on the unit disc in two dimensions. Writing the coupling parameter as $ 1 / \eps^2 $ we consider the asymptotic regime $ \eps \to 0 $ with the angular velocity $\Omega$ proportional to $ (\eps^2|\log\eps|)^{-1} $. We prove that if $ \Omega = \Omega_0 (\eps^2|\log\eps|)^{-1} $ and $ \Omega_0 > 2(3\pi)^{-1} $ then a minimizer of the GP energy Functional has no zeros in an annulus at the boundary of the disc that contains the bulk of the mass. The vorticity resides in a complementary `hole' around the center where the density is vanishingly small. Moreover, we prove a lower bound to the ground state energy that matches, up to small errors, the upper bound obtained from an optimal giant vortex Trial Function, and also that the winding number of a GP minimizer around the disc is in accord with the phase of this Trial Function.
