Temat: exact solution - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Solitary wave solution to the nonlinear evolution equation in cascaded quadratic media beyond the slowly varying envelope approximations
Autorzy:: Sarma, A K
Biswas, A.
Powiązania:: https://bibliotekanauki.pl/articles/174484.pdf
Data publikacji:: 2014
Wydawca:: Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:: solitons
integrability
exact solution
cascaded quadratic media
Opis:: We report an exact bright and dark soliton solution to the nonlinear evolution equation derived by MOSES and WISE (Phys. Rev. Lett. 97, 2006, 073903) for cascaded quadratic media beyond the slowly varying envelope approximations. The integrability aspects of the model are addressed. The travelling wave hypothesis as well as the ansatz method are employed to obtain an exact 1-soliton solution. Both bright and dark soliton solutions are obtained. The corresponding constraint conditions are obtained in order for the soliton solutions to exist.
Źródło:: Optica Applicata; 2014, 44, 2; 205-212
0078-5466
1899-7015
Pojawia się w:: Optica Applicata
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Generalized characteristic singular integral equation with Hilbert kernel
Autorzy:: Karczmarek, P.
Powiązania:: https://bibliotekanauki.pl/articles/255057.pdf
Data publikacji:: 2008
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: singular integral equation
characteristic equation
exact solution
Hilbert kernel
Opis:: In this paper an explicit solution of a generalized singular integral equation with a Hilbert kernel depending on indices of characteristic operators is presented.
Źródło:: Opuscula Mathematica; 2008, 28, 3; 287-294
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Singular integral equation with a multiplicative Cauchy kernel in the half-plane
Autorzy:: Karczmarek, P.
Powiązania:: https://bibliotekanauki.pl/articles/255089.pdf
Data publikacji:: 2008
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: singular integral equation
exact solution
Cauchy kernel
multiplicative kernel
Opis:: In this paper the explicit solutions of singular integral equation with a multiplicative Cauchy kernel in the half-plane are presented.
Źródło:: Opuscula Mathematica; 2008, 28, 1; 63-72
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 4.

Tytuł:: Exact solution for large amplitude flexural vibration of nanobeams using nonlocal Euler-Bernoulli theory
Autorzy:: Nazemnezhad, R.
Hosseini-Hashemi, S.
Powiązania:: https://bibliotekanauki.pl/articles/279261.pdf
Data publikacji:: 2017
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:: nonlinear free vibration
nonlocal elasticity
nanobeam
exact solution
elliptic integrals
Opis:: In this paper, nonlinear free vibration of nanobeams with various end conditions is studied using the nonlocal elasticity within the frame work of Euler-Bernoulli theory with von K´arm´an nonlinearity. The equation of motion is obtained and the exact solution is established using elliptic integrals. Two comparison studies are carried out to demonstrate accuracy and applicability of the elliptic integrals method for nonlocal nonlinear free vibration analysis of nanobeams. It is observed that the phase plane diagrams of nanobeams in the presence of the small scale effect are symmetric ellipses, and consideration the small scale effect decreases the area of the diagram.
Źródło:: Journal of Theoretical and Applied Mechanics; 2017, 55, 2; 649-658
1429-2955
Pojawia się w:: Journal of Theoretical and Applied Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 5.

Tytuł:: Green’s function for a multifield material with a heat source
Autorzy:: Rogowski, B.
Powiązania:: https://bibliotekanauki.pl/articles/279505.pdf
Data publikacji:: 2016
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:: Green's functions
point heat source
multifield material
magneto-electro-thermo-elastic fundamental solution
multifield composites
exact solution
Opis:: Green’s functions for a multifield material subjected to a point heat source are presented in an explicit analytical form. The study concerns the steady-state thermal loading infi- nite region, half-space region and two-constituent magneto-electro-thermo-elastic material region. The new mono-harmonic potential functions, obtained by the author, are used in the analysis. The elastic displacement, electric potential, magnetic potential and induced by those coupled multifield physical quantities, caused by internal or external heat sources, are limited and presented in a very useful form, exactly and explicitly.
Źródło:: Journal of Theoretical and Applied Mechanics; 2016, 54, 3; 743-755
1429-2955
Pojawia się w:: Journal of Theoretical and Applied Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 6.

Tytuł:: Exact Analytical Solutions of Nonlinear Differential Equation of a Large Amplitude Simple Pendulum
Autorzy:: Sobamowo, M. G.
Powiązania:: https://bibliotekanauki.pl/articles/1030465.pdf
Data publikacji:: 2020
Wydawca:: Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:: Exact Analytical solution
Large amplitude
Oscillation system
Strong nonlinearity
Opis:: The governing equation of large amplitude simple pendulum is a nonlinear equation which is very difficult to be solved exactly and analytically. However, the classical way for finding analytical solution is obviously still very much important. This is because an exact analytical solution serves as an accurate benchmark for numerical solution and provides a better insight into the significance of various system parameters affecting the phenomena than the numerical solution. Therefore, in this present work, exact analytical solutions for nonlinear differential equation of large amplitude simple pendulum is presented. Also, with the aid of the exact analytical solutions, parametric studies are carried out to study the effects of the model parameters on the dynamic behavior of the large-amplitude nonlinear oscillation system. The solutions can serve as benchmarks for the numerical solution or approximate analytical solution.
Źródło:: World Scientific News; 2020, 144; 70-88
2392-2192
Pojawia się w:: World Scientific News
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 7.

Tytuł:: A simplified elliptical function solution for coupled nonlinear vibration of multilayer graphene sheets
Autorzy:: Venkatraman, G.
Suji, D.
Powiązania:: https://bibliotekanauki.pl/articles/2086951.pdf
Data publikacji:: 2022
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:: nonlinear coupled vibration
nonlinear van der Waals force
Multilayer Graphene Sheets
elliptical function
exact solution
Opis:: This paper presents a simple exact solution for coupled nonlinear free vibration analysis of Multilayer Graphene Sheets (MLGS) using elliptical functions. Though elliptical functions are used in nonlinear dynamics, they are employed to find the exact solution of a coupled system for the first time. The nonlinear dynamic equation including geometric nonlinearity and Eringen nonlocal theory is uncoupled by elliptical functions, and exact solutions for simply supported boundary conditions are obtained. The results are compared with the harmonic balance method. The nonlinear frequency of MLGS is studied for its effects with a small scale parameter, and the linear and nonlinear van der Waals force.
Źródło:: Journal of Theoretical and Applied Mechanics; 2022, 60, 1; 3--16
1429-2955
Pojawia się w:: Journal of Theoretical and Applied Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 8.

Tytuł:: Analytical models for compact stars with a linear equation of state
Autorzy:: Malaver, Manuel
Powiązania:: https://bibliotekanauki.pl/articles/1191971.pdf
Data publikacji:: 2016
Wydawca:: Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:: Einstein-Maxwell system
linear equation of state
charge density
MIT-Bag Model
metric function
exact solution
Opis:: In this paper, we found two new classes of solutions to the Einstein-Maxwell system of equations for compact stars assuming an anisotropic pressure and a linear equation of state for the matter distribution within the framework of MIT-Bag Model with a particular form of the metric function. The exact solutions can be written in terms of elementary function in presence of an electromagnetic field. All the obtained models have a singularity in the charge density but not admit singularities in the matter and metric functions at the centre.
Źródło:: World Scientific News; 2016, 50; 64-73
2392-2192
Pojawia się w:: World Scientific News
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 9.

Tytuł:: Hypothetical analysis for peristaltic transport of metallic nanoparticles in an inclined annulus with variable viscosity
Autorzy:: Nadeem, S.
Sadaf, H.
Powiązania:: https://bibliotekanauki.pl/articles/201426.pdf
Data publikacji:: 2016
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: inclined annulus
viscous nanofluid
peristaltic flow
variable viscosity
exact solution
pierścień
nanofluid
przepływ perystaltyczny
dokładne rozwiązanie
Opis:: The main objective of this article is to present a mathematical model for peristaltic transport in an inclined annulus. In this analysis, two-dimensional flow of a viscous nanofluid is observed in an inclined annulus with variable viscosity. Copper as nanoparticle with blood as its base fluid has been considered. The inner tube is unifom or rigid, while the outer tube takes a sinusoidal wave. Governing equations are solved under the well-known assumptions of low Reynolds number and long-wavelength. Exact solutions have been established for both velocity and nanoparticle temperature. The features of the peristaltic motion are explored by plotting graphs and discussed in detail.
Źródło:: Bulletin of the Polish Academy of Sciences. Technical Sciences; 2016, 64, 2; 447-454
0239-7528
Pojawia się w:: Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 10.

Tytuł:: Exact solution of fin problem with linear temperature-dependent thermal conductivity
Autorzy:: Kader, A. H. A.
Latif, A. S. A.
Nour, H. M.
Powiązania:: https://bibliotekanauki.pl/articles/122709.pdf
Data publikacji:: 2016
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: exact solution
fin equation
fin efficiency
thermal conductivity
żebro prostokątne
sprawność żebra
wymiana ciepła
przewodność cieplna
Opis:: In this paper, we obtain the general exact solution of a nonlinear fin equation which governs heat transfer in a rectangular fin with linear temperature-dependent thermal conductivity using the partial Noether method. The relationship between the fin efficiency and the thermo-geometric fin parameter is obtained. Additionally, we obtained the relationship among the fin effectiveness, the thermo-geometric fin parameter and the Biot number.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2016, 15, 4; 51-61
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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