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Wyświetlanie 1-15 z 31
Tytuł:
Klein-Gordon Formulation of X-ray Diffraction in the Laue Cas
Autorzy:
Borowski, J.
Powiązania:
https://bibliotekanauki.pl/articles/2030702.pdf
Data publikacji:
2002-05
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
61.10.Dp
02.30.Jr
61.72.-y
Opis:
The Takagi-Taupin equations, the fundamental equations for X-ray diffraction deduced from the Maxwell equations, are considered. The connection between the Takagi-Taupin equations and the Klein-Gordon equation is shown. A method of solution of these equations using external differential form formalism is proposed. The solutions for both a narrow and a wide incident beams as a function of boundary conditions is analyzed. The so-called spherical and quasi-plane waves used in the X-ray experimental methods are derived from.
Źródło:
Acta Physica Polonica A; 2002, 101, 5; 767-780
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Exact Periodic Wave Solutions of Two Types of Modified Boussinesq Equations
Autorzy:
Peng, Y.-Z.
Powiązania:
https://bibliotekanauki.pl/articles/2035741.pdf
Data publikacji:
2003-05
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
02.30.Jr
Opis:
Exact periodic wave solutions to two types of modified Boussinesq equations are obtained by the use of the Jacobi elliptic function method in a unified form. Some new, general solitary wave solutions are presented.
Źródło:
Acta Physica Polonica A; 2003, 103, 5; 417-421
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Exact Periodic Wave Solutions to the Nizhnik-Novikov-Veselov Equation
Autorzy:
Peng, Y.-Z.
Powiązania:
https://bibliotekanauki.pl/articles/2037283.pdf
Data publikacji:
2004-05
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
02.30.Jr
Opis:
Exact periodic wave solutions to the Nizhnik-Novikov-Veselov equation are obtained by means of the modified mapping method. Limit cases are studied and new solitary wave solutions and trigonometric periodic wave solutions are found.
Źródło:
Acta Physica Polonica A; 2004, 105, 5; 417-424
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Exact Travelling Wave Solutions to the (3+1)-Dimensional Kadomtsev-Petviashvili Equation
Autorzy:
Peng, Y.-Z.
Krishnan, E. V.
Powiązania:
https://bibliotekanauki.pl/articles/2043655.pdf
Data publikacji:
2005-09
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
02.30.Jr
Opis:
Exact travelling wave solutions in terms of the Jacobi elliptic functions are obtained to the (3+1)-dimensional Kadomtsev-Petviashvili equation by means of the extended mapping method. Limit cases are studied, and new solitary wave solutions and trigonometric periodic wave solutions are got. The method is applicable to a large variety of nonlinear partial differential equations.
Źródło:
Acta Physica Polonica A; 2005, 108, 3; 421-428
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Variable Separation Method and Exact Jacobi Elliptic Function Solutions for the Nizhnik-Novikov-Veselov Equation
Autorzy:
Peng, Y.-Z.
Powiązania:
https://bibliotekanauki.pl/articles/2046874.pdf
Data publikacji:
2006-07
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
02.30.Jr
Opis:
Based on the singular structure analysis, the variable separation method is proposed for the Nizhnik-Novikov-Veselov equation to obtain a general functional separation solution containing three arbitrary functions. Choosing these arbitrary functions to be the Jacobi elliptic functions, a diversity of elliptic function solutions may be obtained for the equation of interest. The interaction property of the waves is numerically studied. The long wave limit gives the new type of localized coherent structures.
Źródło:
Acta Physica Polonica A; 2006, 110, 1; 3-9
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Deformation of Two Coupled Scalar Fields with Cosmological Solution
Autorzy:
Sadeghi, J.
Amani, A.
Powiązania:
https://bibliotekanauki.pl/articles/1813494.pdf
Data publikacji:
2008-02
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
04.60.-m
02.90.+p
02.30.Jr
Opis:
We study the first-order formalism for the two coupled scalar fields with the superpotential W(φ,χ). As we know, the cosmological solution crucially depends on the coupled scalar fields. Here, we deform the corresponding superpotential and obtain the solution for some cosmological parameters. Finally, we compare the deformed and non-deformed solutions with the different figures.
Źródło:
Acta Physica Polonica A; 2008, 113, 2; 677-689
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:
MHD Flow-Control for Hypersonic Flight
Autorzy:
Petit, J.
Geffray, J.
Powiązania:
https://bibliotekanauki.pl/articles/1807963.pdf
Data publikacji:
2009-06
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
02.30.Jr
47.40.Ki
47.65.-d
47.85.lb
52.30.Cv
52.75.Fk
Opis:
At the beginning of the seventies, experimental research using short duration supersonic shock driven wind tunnel were conducted and showed the efficiency of Lorentz force action on supersonic (Mach 1.4) dense (1 bar) low magnetic Reynolds number hot (10 000 K) argon flows. When working as a generator, the linear Faraday MHD converter was efficient enough, due to high electrical conductivity (3000 S/m) to create a front shock wave at the intake of the constant cross-section MHD converter. Accelerations up to 5000 m/s were obtained in 10 cm long channels. This suggested the possibility to achieve complete shock wave and turbulent wake cancellation, through MHD bypass concept. Such work gave publications in peer-reviewed journals and presentation in international MHD meetings (French Academy of Sciences 1970, Moscow 1983, Tsukuba 1986, Beijing 1992). The work was conducted both through computational simulations (based on the method of characteristics) and hydraulic simulation experiments. We present the synthesis of such studies through a project of a hypersonic vehicle based on an MHD bypass concept, landing under its own steam, using classical turbojets. Then, at Mach 3 and high altitude, MHD controlled inlets are opened. A wall converter slows down the hypersonic incoming air flow, without excessive heating, feeding a ramjet system. The subsequent electric power provides an additional impulse to the flow in the exhaust section. Cruise Mach number: 12. Local Hall parameter regime produces high voltage that, sent to the leading edges, creates a plasma cushion which prevents too high thermal flux. Lift is provided by wave riding technique. Additional rocket propeller could transform it as a reusable space launcher.
Źródło:
Acta Physica Polonica A; 2009, 115, 6; 1149-1151
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:
Front Dynamics with Time Delays in a Bistable System of the Reaction-Diffusion Type: Role of the Symmetry of the Rate Function
Autorzy:
Bakanas, R.
Ivanauskas, F.
Jasaitis, V.
Powiązania:
https://bibliotekanauki.pl/articles/1505296.pdf
Data publikacji:
2011-03
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
05.45.-a
02.30.Jr
82.40.Ck
Opis:
The retardation effects in dynamics of the ac driven "bistable" fronts joining two states of the different stability in a bistable system of the reaction-diffusion type are investigated by use of the macroscopic kinetic equation of the reaction kinetics. We approximate the rate (reaction) function in the governing equation of "bistable" fronts by the piecewise linear dependence of the flexible symmetry, encompassing both cases of the symmetrical and asymmetrical rate functions. By numerically simulating the drift motion of the ac driven front being subjected to the time-dependent step-like (rectangular) forcing we investigate the lag time between the ac force and the instantaneous velocity of the ac driven front. We find that the time lags derivable by the symmetrical and asymmetrical rate functions notably differ, namely, we show that (a) the lag time is a function of the outer slope coefficients of the rate function and is not sensitive to the inner, (b) it has only weak dependence on the strength of the applied forcing, (c) the retardation effects (time lags) in the front dynamics are describable adequately enough by use of the perturbation theory. Another aspect of the front dynamics discussed in this report is the influence of the retardation effects on the ratchet-like transport of the ac driven fronts being described by the asymmetrical rate functions of the "low" symmetry. By considering the response of "bistable" front to the single-harmonic ac force we find that the occurrence of the time lags in the oscillatory motion of the ac driven front shrink the spurious drift of the front; the spurious drift practically disappears if the frequency of the oscillatory force significantly exceeds the characteristic relaxation rate of the system. Furthermore, the occurrence of the time lags in the front dynamics leads to the vanishing of the reversals in the directed net motion of the ac driven fronts, being always inherent in the case of the slow (quasi-stationary) ac drive, i.e., the possibilities of controlling the directed net motion of the self-ordered fronts by the low- and high-frequency zero-mean ac forces radically differ.
Źródło:
Acta Physica Polonica A; 2011, 119, 3; 282-297
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Self-Ordered Front under Temporally Irregular Forcing: Ratchet-Like Transport of the Quasi-Periodically Forced Front
Autorzy:
Bakanas, R.
Ivanauskas, F.
Jasaitis, V.
Powiązania:
https://bibliotekanauki.pl/articles/1504479.pdf
Data publikacji:
2011-06
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
05.45.-a
02.30.Jr
82.40.Ck
Opis:
Ratchet-like transport of the quasi-periodically forced "bistable" front joining two states of the different stability in the reaction-diffusion system is considered by use of the piecewise linear rate (reaction) function of the reaction kinetics. We approximate the oscillatory force acting on the front in the system by the bi-harmonic forcing functions being a superposition of the single-harmonic components (the Fourier modes) of the different frequencies, either commensurate or incommensurable ones. By considering the response of the self-ordered front to the oscillatory forces used we analyze the effect of the temporally irregular oscillations of the ac forcing on the ratchet-like shuttling of the ac driven front. By comparing the average characteristics of the spurious drift derivable in both cases of the periodically and quasi-periodically forced fronts we show that the temporally irregular fluctuations of the oscillatory force shrink the spurious drift of the front. More specifically, we find the performance of the ratchet-like shuttling of the self-ordered fronts is much lesser pronounced with the quasi-periodic, temporally irregular ac forcing if compared to that derivable by the rigorously periodic forcing, in both cases of the symmetrical and asymmetrical rate functions satisfying the different symmetry. The average characteristics of the spurious drift, that describe the dependence of the mean drift velocity of the ac driven front versus both the amplitude (strength) and the frequency of the oscillatory forces used are presented.
Źródło:
Acta Physica Polonica A; 2011, 119, 6; 731-739
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
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:
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:
Non-Polynomial Spline Method for a Time-Dependent Heat-Like Lane- Emden Equation
Autorzy:
Caglar, S.
Ucar, M.
Powiązania:
https://bibliotekanauki.pl/articles/1491458.pdf
Data publikacji:
2012-01
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
02.30.Jr
02.60.Lj
02.70.Bf
02.70.Jn
44.05.+e
Opis:
In this study, a time-dependent heat-like Lane-Emden equation is solved by using a non-polynomial spline method. An example is solved to assess the accuracy of the method. The numerical results are obtained for different values (n) of equation. The results indicate that non-polynomial spline method is effectively implemented. It is seen that results are compatible with exact solutions and consistent with other existing numerical methods.
Źródło:
Acta Physica Polonica A; 2012, 121, 1; 262-264
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Simulation of Dislocation Annihilation by Cross-Slip
Autorzy:
Pauš, P.
Beneš, M.
Kratochvíl, J.
Powiązania:
https://bibliotekanauki.pl/articles/1418510.pdf
Data publikacji:
2012-09
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
02.70.Bf
61.72.Lk
02.30.Jr
Opis:
This contribution deals with the numerical simulation of dislocation dynamics, their interaction, merging and changes in the dislocation topology. The glide dislocations are represented by parametrically described curves moving in slip planes. The simulation model is based on the numerical solution of the dislocation motion law belonging to the class of curvature driven curve dynamics. We focus on the simulation of the cross-slip of two dislocation curves where each curve evolves in a different slip plane. The dislocations evolve, under their mutual interaction and under some external force, towards each other and at a certain time their evolution continues outside slip planes. During this evolution the dislocations merge by the cross-slip occurs. As a result, there will be two dislocations evolving in three planes, two planes, and one plane where cross-slip occurred. The goal of our work is to simulate the motion of the dislocations and to determine the conditions under which the cross-slip occurs. The simulation of the dislocation evolution and merging is performed by improved parametric approach and numerical stability is enhanced by the tangential redistribution of the discretization points.
Źródło:
Acta Physica Polonica A; 2012, 122, 3; 509-511
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 31

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