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Tytuł:
Applications of a Generalized Extended (G/G) -Expansion Method to Find Exact Solutions of Two Nonlinear Schrödinger Equations with Variable Coefficients
Autorzy:
Zayed, E.
Abdelaziz, M.
Powiązania:
https://bibliotekanauki.pl/articles/1489815.pdf
Data publikacji:
2012-03
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
02.30.Jr
05.45.Yv
02.30.Ik
Opis:
In the present paper, we construct the travelling wave solutions of two nonlinear Schrödinger equations with variable coefficients by using a generalized extended (G'/G) -expansion method, where G = G(ξ) satisfies a second order linear ordinary differential equation. By using this method, new exact solutions involving parameters, expressed by hyperbolic and trigonometric function solutions are obtained. When the parameters are taken as special values, some solitary wave solutions are derived from the hyperbolic function solutions.
Źródło:
Acta Physica Polonica A; 2012, 121, 3; 573-580
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Modulation Instability of Two-Dimensional Dipolar Bose-Einstein Condensate in a Deep Optical Lattice
Autorzy:
Wöllert, A.
Gligorić, G.
Škorić, M.
Maluckov, A.
Raičević, N.
Daničić, A.
Hadžievski, Lj.
Powiązania:
https://bibliotekanauki.pl/articles/1791212.pdf
Data publikacji:
2009-10
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
03.75.Lm
05.45.Yv
Opis:
We study the stability of the continuous waves in the pancake shaped dipolar Bose-Einstein condensate trapped in the strong optical lattice potential with the coexisting local (the short-range s-wave) interaction and nonlocal (the dipole-dipole) interactions between the condensate atoms. The system is modeled by two two-dimensional discrete models derived from the Gross-Pitaevskii equation accounting the dipole-dipole interactions: discrete nonlinear Schrödinger equation with cubic nonlinearity and nonpolynomial Schrödinger equation. The corresponding dispersion relations are calculated analytically and the regions of the modulation instability in the parametric space are summarized into the stability diagrams.
Źródło:
Acta Physica Polonica A; 2009, 116, 4; 519-521
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Nanodevice for High Precision Readout of Electron Spin
Autorzy:
Szumniak, P.
Bednarek, S.
Szafran, B.
Grynkiewicz, P.
Powiązania:
https://bibliotekanauki.pl/articles/2048078.pdf
Data publikacji:
2011-05
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
73.21.La
73.63.Nm
03.67.Lx
05.45.Yv
Opis:
In this paper we propose and simulate operation of a nanodevice, which enables the electron spin accumulation and very precise read-out of its final value. We exploit the dependence of the electron trajectory on its spin state due to the spin-orbit coupling in order to distinguish between different spin orientations.
Źródło:
Acta Physica Polonica A; 2011, 119, 5; 651-653
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Solitons and Other Solutions to Perturbed Rosenau-KdV-RLW Equation with Power Law Nonlinearity
Autorzy:
Sanchez, P.
Ebadi, G.
Mojaver, A.
Mirzazadeh, M.
Eslami, M.
Biswas, A.
Powiązania:
https://bibliotekanauki.pl/articles/1189710.pdf
Data publikacji:
2015-06
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
05.45.Yv
02.30.Jr
Opis:
This paper obtains solitons and other solutions to the perturbed Rosenau-KdV-RLW equation that is used to model dispersive shallow water waves. This equation is taken with power law nonlinearity in this paper. There are several integration tools that are adopted to solve this equation. These are Kudryashov method, sine-cosine function method, G'/G-expansion scheme and finally the exp-function approach. Solitons and other solutions are obtained along with several constraint conditions that naturally emerge from the structure of these solutions.
Źródło:
Acta Physica Polonica A; 2015, 127, 6; 1577-1587
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Exact Solutions and Localized Structures for a (3+1)-Dimensional Burgers Equation
Autorzy:
Peng, Y.
Powiązania:
https://bibliotekanauki.pl/articles/1419662.pdf
Data publikacji:
2012-07
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
05.45.Yv
02.30.Jr
02.30.Ik
Opis:
A (3+1)-dimensional Burgers equation is studied by the singular manifold method. By choosing different seed solutions, auto-Bäcklund transformation, the Cole-Hopf transformation and a functional separation exact solution containing two low dimensional arbitrary functions are obtained for the equation in question. Some interesting localized coherent structures are given and their interaction properties are numerically studied. Some new nonlinear phenomena are reported.
Źródło:
Acta Physica Polonica A; 2012, 122, 1; 20-24
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Exact Travelling Wave Solutions for a Modified Zakharov-Kuznetsov Equation
Autorzy:
Peng, Y.
Powiązania:
https://bibliotekanauki.pl/articles/1808072.pdf
Data publikacji:
2009-03
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
05.45.Yv
02.30.Ik
02.30.Jr
Opis:
The extended mapping method is developed to study the traveling wave solution for a modied Zakharov-Kuznetsov equation. A variety of traveling periodic wave solutions in terms of the Jacobi elliptic functions are obtained. Limit cases are studied, and solitary wave solutions are got.
Źródło:
Acta Physica Polonica A; 2009, 115, 3; 609-612
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Embedded Soliton Solutions: A Variational Study
Autorzy:
Pal, D.
Golam Ali, Sk.
Talukdar, B.
Powiązania:
https://bibliotekanauki.pl/articles/1813496.pdf
Data publikacji:
2008-02
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
42.65.Tg
05.45.Yv
Opis:
We use a variational method to construct soliton solutions for systems characterized by opposing dispersion and competing nonlinearities at fundamental and second harmonics. We show that both ordinary and embedded solitons tend to gain energy when the second harmonic field becomes weaker than the first harmonic field.
Źródło:
Acta Physica Polonica A; 2008, 113, 2; 707-712
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On Bright and Dark Breathers in Lattices with Saturable Nonlinearity
Autorzy:
Maluckov, A.
Stepić, M.
Hadžievski, Lj.
Powiązania:
https://bibliotekanauki.pl/articles/2047848.pdf
Data publikacji:
2007-11
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
63.20.Ry
05.45.Yv
42.65.Tg
03.75.Lm
Opis:
The moving bright and dark localized modes in one-dimensional optical lattices with saturable nonlinearity are considered with respect to the grand canonical free energy concept and linear stability analysis of the eigenvalue spectra.
Źródło:
Acta Physica Polonica A; 2007, 112, 5; 903-908
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Complexes of Domain Walls in Ferromagnetic Stripes
Autorzy:
Janutka, A.
Powiązania:
https://bibliotekanauki.pl/articles/1399260.pdf
Data publikacji:
2013-10
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
05.45.Yv
75.70.Kw
75.75.Jn
75.78.Fg
85.70.Kh
Opis:
Interaction of domain walls in ferromagnetic stripes is studied with relevance to the formation of stable complexes of many domains. Two domain wall system is described with the Landau-Lifshitz-Gilbert equation including regimes of narrow and wide stripes which correspond the presence of transverse and vortex domain walls. The domain walls of both kinds are characterized with their chiralities (the direction of the magnetization rotation in the stripe plane) and polarities (the magnetization orientation in the center of a vortex and/or halfvortices), hence, their interactions are analyzed with dependence on these properties. In particular, pairs of the domain walls of opposite or like chiralities and polarities are investigated as well as pairs of opposite (like) chiralities and of like (opposite) polarities. Conditions of the creation of stationary bubbles built of two interacting domain walls are formulated with relevance to the situations of presence and absence of the external magnetic field.
Źródło:
Acta Physica Polonica A; 2013, 124, 4; 641-648
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Complexes of Domain Walls in One-Dimensional Ferromagnets Near and Far from Phase Transition
Autorzy:
Janutka, A.
Powiązania:
https://bibliotekanauki.pl/articles/1399495.pdf
Data publikacji:
2013-07
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
05.45.Yv
64.60.Ht
75.70.Kw
75.78.Fg
77.80.Dj
Opis:
Interactions of domain walls are analyzed with relevance to formation of stationary bubbles (bound state of two domain walls) and bound states of many domains in one-dimensional systems. We investigate the domain structures in ferromagnets which are described with the Landau-Lifshitz equation as well as the domains in critical systems described with the Ginzburg-Landau equation. Supplementing previous author studies on the creation of hard bubbles [formed by one Bloch domain wall and one Néel (Ising) domain wall] in the presence of an external (magnetic) field, the soft bubbles consisting of two Bloch domain walls or two Néel (Ising) domain walls are studied in detail. The interactions of two domain walls of the same kind are studied in the framework of a perturbation calculus.
Źródło:
Acta Physica Polonica A; 2013, 124, 1; 23-28
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
New Applications of the (G/G,1/G)-Expansion Method
Autorzy:
Inan, I.
Ugurlu, Y.
Inc, M.
Powiązania:
https://bibliotekanauki.pl/articles/1401446.pdf
Data publikacji:
2015-09
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
02.30.Ik
02.30.Jk
05.45.Yv
Opis:
In this paper, we study general solutions of the new fifth order nonlinear evolution and the Burgers KP equations with the aid of the two variables (G'/G,1/G)-expansion method. The kink, bell-shaped solitary wave, periodic and singular periodic solutions are obtained. Finally, the numerical simulations add to these obtained solutions.
Źródło:
Acta Physica Polonica A; 2015, 128, 3; 245-251
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Exact Solutions and Light Bullet Soliton Solutions of the Two-Dimensional Generalized Nonlinear Schrödinger Equation with Distributed Coefficients
Autorzy:
Huang, W.
Mu, C.
Xu, Y.
Ding, B.
Powiązania:
https://bibliotekanauki.pl/articles/1399167.pdf
Data publikacji:
2013-10
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
02.30.Jr
03.65.Ge
05.45.Yv
42.65.Tg
Opis:
A generalized G'/G-expansion method is extended to construct exact solutions to the two-dimensional generalized nonlinear Schrödinger equation with distributed coefficients. Hyperbolic function solution, trigonometric function solution and rational exact solution with parameters are obtained. Selecting parameters and parameter functions properly, novel light bullet soliton solutions with or without the chirp are presented.
Źródło:
Acta Physica Polonica A; 2013, 124, 4; 622-625
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Exact Solutions of Bose-Einstein Condensate in Linear Magnetic Field and Time-Dependent Laser Field
Autorzy:
Huang, W.
Mao, J.
Qiu, W.
Powiązania:
https://bibliotekanauki.pl/articles/1505312.pdf
Data publikacji:
2011-03
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
02.30.Jr
03.65.Ge
05.45.Yv
42.65.Tg
Opis:
A generalized G'/G-expansion method is extended to construct exact solutions for the Gross-Pitaevskii equation with weak bias magnetic and time-dependent laser fields. Many types of exact solutions including hyperbolic function solution, trigonometric function solution and rational exact solution with parameters are obtained. In addition, soliton solutions are found.
Źródło:
Acta Physica Polonica A; 2011, 119, 3; 294-297
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Collapse of the Nonlinear Spin Dipole Wave Pulses of the Millimeter Wave Range in the YIG Films
Autorzy:
Grimalsky, V.
Koshevaya, S.
Kolokoltsev, O.
Powiązania:
https://bibliotekanauki.pl/articles/1505232.pdf
Data publikacji:
2011-04
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
85.70.Ge
75.30.Ds
84.40.-x
42.65.Tg
05.45.Yv
Opis:
The spatiotemporal collapse of the spin-dipole wave pulses of the millimeter wave range is investigated theoretically. The dispersion and the diffraction coefficients of spin-dipole wave have been calculated, when the retardation has been taken into account. It is demonstrated that YIG films are suitable for observing the wave collapse in the millimeter wave range, due to low dissipation and quite high values of dispersion and diffraction coefficients. In the hexaferrite films, despite the higher values of the dispersion and the diffraction coefficients, the dissipation prevents the formation of the spatiotemporal collapse. The additional focusing of the pulse can increase the nonlinear pulse compression. The numerical simulations have confirmed this result.
Źródło:
Acta Physica Polonica A; 2011, 119, 4; 528-532
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Matter-Wave Bright Solitons of $\text{}^7Li$ Gas in an Expulsive Potential
Autorzy:
Golam Ali, Sk.
Talukdar, B.
Roy, S.
Powiązania:
https://bibliotekanauki.pl/articles/1814020.pdf
Data publikacji:
2007-12
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
03.75.Fi
05.45.Yv
Opis:
A Lagrangian based method is used to derive an analytical model for studying the dynamics of matter-wave bright soliton created in a harmonic potential which is attractive in the transverse direction and expulsive in the longitudinal direction. By means of sech trial functions and a Ritz optimization procedure, evolution equations are constructed for width, amplitude and nonlinear frequency chirp of the propagating soliton of the atomic condensate. Our equation for the width is an exact agreement with that of Carr and Castin, obtained by more detailed analysis. In agreement with the experiment of Paris group, the expulsive potential is found to cause the soliton to explode for N|$a_s$|=0.98, N being the number of atoms in the condensate and $a_s$ -- the scattering length of the atom-atom interaction.
Źródło:
Acta Physica Polonica A; 2007, 112, 6; 1165-1170
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 20

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