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Wyświetlanie 1-15 z 31
Tytuł:
Exact Solutions and Conservation Laws of the Bogoyavlenskii Equation
Autorzy:
Inc, M.
Hashemi, M.
Isa Aliyu, A.
Powiązania:
https://bibliotekanauki.pl/articles/1029868.pdf
Data publikacji:
2018-05
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
02.30.Ik
02.30.Jr
47.35.Fg
Opis:
In this paper, the Lie symmetry analysis method is performed for a Bogoyavlenskii equation. The symmetries and exact invariant solutions for the equation are retrieved for the first time. The conservation laws of the Bogoyavlenskii equation are constructed using the conservation laws theorem introduced by Ibragimov.
Źródło:
Acta Physica Polonica A; 2018, 133, 5; 1133-1137
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Numerical Solution of Fractional Black-Scholes Equation by Using the Multivariate Padé Approximation
Autorzy:
Özdemir, N.
Yavuz, M.
Powiązania:
https://bibliotekanauki.pl/articles/1031286.pdf
Data publikacji:
2017-09
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
02.60.-x
02.30.Mv
02.30.Jr
Opis:
In this study, a new application of multivariate Padé approximation method has been used for solving European vanilla call option pricing problem. Padé polynomials have occurred for the fractional Black-Scholes equation, according to the relations of "smaller than", or "greater than", between stock price and exercise price of the option. Using these polynomials, we have applied the multivariate Padé approximation method to our fractional equation and we have calculated numerical solutions of fractional Black-Scholes equation for both of two situations. The obtained results show that the multivariate Padé approximation is a very quick and accurate method for fractional Black-Scholes equation. The fractional derivative is understood in the Caputo sense.
Źródło:
Acta Physica Polonica A; 2017, 132, 3; 1050-1053
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A fifth-order Korteweg-de Vries equation for shallow water with surface tension: Multiple soliton solutions
Autorzy:
Wazwaz, A.
Powiązania:
https://bibliotekanauki.pl/articles/1075550.pdf
Data publikacji:
2016-09
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
02.70.Wz
02.30.Lk
02.30.Jr
Opis:
In this work we study a fifth-order Korteweg-de Vries equation for shallow water with surface tension derived by Dullin et al. The fifth-order Korteweg-de Vries equation, derived by using the nonlinear/non-local transformations introduced by Kodama, and the Camassa-Holm equation with linear dispersion, have very different behaviors despite being asymptotically equivalent. We use the simplified form of the Hirota direct method to derive multiple soliton solutions for this equation.
Źródło:
Acta Physica Polonica A; 2016, 130, 3; 679-682
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Application of tanh method to complex coupled nonlinear evolution equations
Autorzy:
Abdelkawy, M.
Bhrawy, A.
Zerrad, E.
Biswas, A.
Powiązania:
https://bibliotekanauki.pl/articles/1070617.pdf
Data publikacji:
2016-03
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
02.30.Ik
02.30.Jr
05.45.Yv
Opis:
This paper studies the application of tanh method to address a few coupled nonlinear evolution equations that are in complex domain. There are soliton solutions as well as triangular solutions that are revealed with this integration scheme. The equations studied in this paper are applicable to various branches of applied and theoretical physics.
Źródło:
Acta Physica Polonica A; 2016, 129, 3; 278-283
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Galerkin Versions of Nonsingular Trefftz Method Derived from Variational Formulations for 2D Laplace Problem
Autorzy:
Brański, Adam
Borkowska, Dorota
Powiązania:
https://bibliotekanauki.pl/articles/1402182.pdf
Data publikacji:
2015-07
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
02.60.Lj
02.30.Jr
41.20.Cv
Opis:
In the paper, application of the Trefftz complete functions and Kupradze functions in two variational formulations is compared. They are applied in the original formulation and in the inverse one to the solution of boundary value problems of two-dimensional Laplace's equation. In these formulations, both solution and weighting functions are assumed to be of the same type, either the Trefftz function or the Kupradze function. Thus Galerkin versions of the methods are considered. All methods lead to the BEM and they are nonsingular. The relationship between the groups of methods of the original and inverse formulations is noticed. Numerical experiments are conducted for the Motz's problem. The accuracy and simplicity of the methods are discussed. All methods give comparable results. Since they are nonsingular, they may be successfully applied to solving boundary problems.
Źródło:
Acta Physica Polonica A; 2015, 128, 1A; A-50-A-55
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Lie Symmetry Reductions, Exact Solutions and Conservation Laws of the Third Order Variant Boussinesq System
Autorzy:
Yaşar, E.
Giresunlu, İ.
Powiązania:
https://bibliotekanauki.pl/articles/1401513.pdf
Data publikacji:
2015-09
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
02.30.Ik
02.30.Jr
47.35.Fg
Opis:
The Lie group method is applied to the third order variant Boussinesq system, which arises in the modelling of the water waves. The symmetry reductions and invariant solutions are obtained with respect to Lie point symmetry generators of the underlying system. In addition, we derive conservation laws of the variant Boussinesq system.
Źródło:
Acta Physica Polonica A; 2015, 128, 3; 252-255
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Numerical Simulation of Dislocation Cross-Slip with Annihilation in Non-Symmetric Configuration
Autorzy:
Pauš, P.
Beneš, M.
Kratochvíl, J.
Powiązania:
https://bibliotekanauki.pl/articles/1402142.pdf
Data publikacji:
2015-10
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
02.70.Bf
61.72.Lk
02.30.Jr
Opis:
The interpretation of the experimentally determined critical distance of the screw dislocation annihilation in persistent slip bands is still an open question. We attempt to analyze this problem using the discrete dislocation dynamics simulations. Dislocations are represented by parametrically described curves. The 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 one edge dislocation curve bowing out of the wall of a persistent slip band channel and one screw dislocation gliding through the channel. The dislocations move under their mutual interaction, the line tension and the applied stress. A cross-slip leads to annihilation of the dipolar parts. In the changed topology each dislocation evolves in two slip planes and the plane where cross-slip occurred. The goal of our work is to develop and test suitable mathematical and physical model of the situation. The results are subject to comparison with symmetric configuration of two screw dislocations studied in papers by Pauš et al. The simulation of the dislocation evolution and merging is performed by the improved parametric approach. Numerical stability is enhanced by the tangential redistribution of the discretization points.
Źródło:
Acta Physica Polonica A; 2015, 128, 4; 737-739
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Numerical Simulations of Glide Dislocations in Persistent Slip Band
Autorzy:
Kolář, M.
Beneš, M.
Kratochvíl, J.
Pauš, P.
Powiązania:
https://bibliotekanauki.pl/articles/1402064.pdf
Data publikacji:
2015-10
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
02.70.Bf
61.72.Lk
02.30.Jr
Opis:
For the purpose of estimation of possible inaccuracy in standard discrete dislocation dynamics simulations, we study the motion of interacting dislocations in two regimes: the standard stress control and the total strain control. For demonstration of the difference, we consider two dislocations of opposite signs, gliding in parallel slip planes in a channel of a persistent slip band. Exposed to the applied stress, the dislocations move, bow out, and form a dipole. We investigate the passing stress needed for the dislocations to escape each from other, considering the stress controlled regime and the total strain controlled regime. The motion is described by the mean curvature flow and treated by means of the direct (parametric) method. The results of numerical experiments indicate that the stress control and the total strain control provide upper and lower estimate of the passing stress, respectively, and that these two estimates differ by approximately 10%.
Źródło:
Acta Physica Polonica A; 2015, 128, 4; 506-509
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Simulation of Control Algorithm for Active Reduction of Transversal Vibrations of Beams by Piezoelectric Elements Based on Identification of Bending Moment
Autorzy:
Kozień, M.
Ścisło, Ł.
Powiązania:
https://bibliotekanauki.pl/articles/1402183.pdf
Data publikacji:
2015-07
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
02.30.Jr
43.40.Ar
43.40.Cw
45.20.da
Opis:
Application of piezoelectric elements to active reduction of bending vibrations of the beams is known well in the literature. During vibrations, an external excitation may vary in the time domain, including its form in the frequency domain. It should have influence on their response. The problem of proper selection of the control parameter in the control algorithm used to reduce vibrations arises. In the article, simulations of a control algorithm based on detection of bending moment are analytically tested. The solution for the transient type of vibrations are obtained by the finite difference method (FDM). Analysis for two separated natural modes was performed. The analysis shows the possibility to design a control algorithm based on detection of the bending moment.
Źródło:
Acta Physica Polonica A; 2015, 128, 1A; A-56-A-61
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:
New Exact Solutions for Boussinesq Type Equations by Using (G'/G, 1/G) and (1/G')-Expansion Methods
Autorzy:
Demiray, S.
Ünsal, Ö.
Bekir, A.
Powiązania:
https://bibliotekanauki.pl/articles/1198520.pdf
Data publikacji:
2014-05
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
02.30.Jr
02.70.Wz
05.45.Yv
94.05.Fg
Opis:
In this paper, the (G'/G, 1/G) and (1/G')-expansion methods with the aid of Maple are used to obtain new exact traveling wave solutions of the Boussinesq equation and the system of variant Boussinesq equations. The travelling wave solutions are expressed by the hyperbolic functions, the trigonometric functions, and the rational functions. It is shown that the proposed method provides a powerful mathematical tool for solving nonlinear wave equations in mathematical physics and engineering.
Źródło:
Acta Physica Polonica A; 2014, 125, 5; 1093-1098
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Shock Waves and Other Solutions to the Benjamin-Bona-Mahoney-Burgers Equation with Dual Power-Law Nonlinearity
Autorzy:
Wang, G.
Xu, T.
Abazari, R.
Jovanoski, Z.
Biswas, A.
Powiązania:
https://bibliotekanauki.pl/articles/1377509.pdf
Data publikacji:
2014-12
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
02.30.Ik
02.30.Jr
02.20.Qs
Opis:
We study the hybrid Benjamin-Bona-Mahoney-Burgers equation with dual power-law nonlinearity. Three different techniques - the ansatz method, Lie-symmetry analysis and the (G'/G)-expansion method - are used to find shock wave solutions. Several constraint conditions naturally emerge that guarantee the existence of shock waves. We discuss the nature of the solutions generated by the different methods.
Źródło:
Acta Physica Polonica A; 2014, 126, 6; 1221-1225
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Soliton Solution and Conservation Law of Gear-Grimshaw Model for Shallow Water Waves
Autorzy:
Triki, H.
Kara, A.
Bhrawy, A.
Biswas, A.
Powiązania:
https://bibliotekanauki.pl/articles/1198526.pdf
Data publikacji:
2014-05
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
02.30.Ik
02.30.Jr
47.35.Fg
Opis:
This paper is going to obtain the soliton solution of the Gear-Grimshaw model that describes the dynamics of two-layered shallow water waves in oceans and rivers. The topological 1-soliton solution will be obtained by the ansatz method. There are several constraint conditions that will be taken care of. This will be followed by the model with power law nonlinearity. Subsequently, the conservation laws for this model will be derived by the aid of multiplier approach from the Lie symmetry analysis. Finally, the F-expansion method will extract a few more interesting solutions to the model.
Źródło:
Acta Physica Polonica A; 2014, 125, 5; 1099-1106
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analytical Solutions of Excited Vibrations of a Beam with Application of Distribution
Autorzy:
Kozień, M.
Powiązania:
https://bibliotekanauki.pl/articles/1400080.pdf
Data publikacji:
2013-06
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
02.30.Jr
43.40.Ar
43.40.Cw
45.20.da
Opis:
In the paper, the analytical solutions of excited vibrations of the Bernoulli-Euler type beam in general case of external loading function is analyzed. The distribution theory is applied to formulate solution when the external functions are the concentrated-force type or the concentrated-moment type. Moreover, two types of excitation in time domain, harmonic and pulsed, are considered. Due to the superposition rule which can be applied in the analyzed linear case, any combination of external loading function can be formulated. The strict analytical solutions are shown for the case of simply supported beam. Describing the external load in the form of concentrated moments makes possible the analytical simulation of the reduction of vibrations of a beam by application of the piezoelectric elements which are in practice the source of external moment-type excitation put in relatively small area of action.
Źródło:
Acta Physica Polonica A; 2013, 123, 6; 1029-1033
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
Wyświetlanie 1-15 z 31

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