Results 41 to 50 of about 1,955,543 (186)

Solitons in a 3d integrable model

, 1999
Equations of motion for a classical 3d discrete model, whose auxialiary system is a linear system, are investigated. The Lagrangian form of the equations of motion is derived. The Lagrangian variables are a triplet of "tau functions".
Kashaev, S.M. Sergeev, Sergeev
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The Maxwell equations as a Bäcklund transformation

Advanced Electromagnetics, 2015
Bäcklund transformations (BTs) are a useful tool for integrating nonlinear partial differential equations (PDEs). However, the significance of BTs in linear problems should not be ignored.
C. J. Papachristou
doaj   +1 more source

On Solving System of Linear Differential-Algebraic Equations Using Reduction Algorithm

International Journal of Mathematics and Mathematical Sciences, 2020
In this paper, we present a new reduction algorithm for solving system of linear differential-algebraic equations with power series coefficients. In the proposed algorithm, we transform the given system of differential-algebraic equations into another ...
Srinivasarao Thota
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A refined invariant subspace method and applications to evolution equations

, 2012
The invariant subspace method is refined to present more unity and more diversity of exact solutions to evolution equations. The key idea is to take subspaces of solutions to linear ordinary differential equations as invariant subspaces that evolution ...
A. S. Fokas, C. R. Zhu, C. X. Li, C. Z. Qu, C. Z. Qu, C. Z. Qu, G. W. Bluman, J. R. King, L. Debnath, P. J. Olver, R. Hirota, R. Hirota, R. Z. Zhdanov, S. F. Shen, S. R. Svirshchevskii, S. R. Svirshchevskii, S. S. Titov, V. A. Galaktionov, V. A. Galaktionov, W. X. Ma, W. X. Ma, W. X. Ma, W. X. Ma, W. X. Ma, W. X. Ma, W. X. Ma, W. X. Ma, W.X. Ma, Wen-Xiu Ma   +28 more
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Numerical Approximations Using Chebyshev Polynomial Expansions

, 2001
We present numerical solutions for differential equations by expanding the unknown function in terms of Chebyshev polynomials and solving a system of linear equations directly for the values of the function at the extrema (or zeros) of the Chebyshev ...
Aarts G, Bakshi P M, Bakshi P M, Baxley J V, Baxley J V, Berges J, Bogdan Mihaila, Bonini G F, Boyd J P, Canuto C, Clenshaw C W, Clenshaw C W, deBoor C, Delves L M, El-gendi S E, Elliott D, Elliott D, Fornberg B, Fox L, Fraser W, Funaro D, Gottlieb D, Gottlieb D, Imhof J P, Ioana Mihaila, Keldysh L V, Kerman A K, Mihaila B, Press W H, Schwinger J   +29 more
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CRAMER’S RULE IN INTERVAL MIN-PLUS ALGEBRA

Barekeng
A min-plus algebra is a set ,  where  is the set of all real numbers, equipped with the minimum  and addition  operations. The system of linear equations  in min-plus algebra can be solved using Cramer's rule.
Siswanto Siswanto, Ade Safira Septiany
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Relativistic magnetohydrodynamics in one dimension

, 2011
We derive a number of solution for one-dimensional dynamics of relativistic magnetized plasma that can be used as benchmark estimates in relativistic hydrodynamic and magnetohydrodynamic numerical codes. First, we analyze the properties of simple waves
K. Stanyukovich, L. D. Landau, L. D. Landau, Maxim Lyutikov, R. Courant, R. Courant, R. D. Blandford, Samuel Hadden   +7 more
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Constructing a Space from the System of Geodesic Equations

, 2007
Given a space it is easy to obtain the system of geodesic equations on it. In this paper the inverse problem of reconstructing the space from the geodesic equations is addressed.
A. Qadir, Aminova, Barbour, E. Fredericks, E. Momoniat, F.M. Mahomed, Feroze, Hall, Hall, Hogben, Ihrig, Ihrig, Mahomed, Mahomed, Misner, Qadir   +15 more
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Generalized singular exponents linear system of differential equations

Вестник КазНУ. Серия математика, механика, информатика, 2017
Consider a finite-dimensional linear homogeneous system of differential equations with continuous bounded coefficients in an infinite interval in critical cases of singular exponents.
A. E. Mirzakulova, M. M. Aldazharova, Zh. T. Moldabek, T. M. Aldibekov   +3 more
doaj  

Strong convergence of solutions to nonautonomous Kolmogorov equations

, 2015
We study a class of nonautonomous, linear, parabolic equations with unbounded coefficients on $\mathbb R^{d}$ which admit an evolution system of measures.
Lorenzi, Luca, Lunardi, Alessandra, Schnaubelt, Roland   +2 more
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