Results 1 to 10 of about 1,170 (90)
Darboux transformation for classical acoustic spectral problem [PDF]
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 49, Page 3123-3142, 2003., 2002 We study discrete isospectral symmetries for the classical acoustic spectral problem in spatial dimensions one and two, by developing a Darboux (Moutard) transformation formalism for this problem. The procedure follows the steps, similar to those for the
Rudnev, M., Yurov, A. V., Yurova, A. A.
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Bifurcation of Gap Solitons in Coupled Mode Equations in $d$ Dimensions [PDF]
, 2021 We consider a system of first order coupled mode equations in $\mathbb{R}^d$ describing the envelopes of wavepackets in nonlinear periodic media. Under the assumptions of a spectral gap and a generic assumption on the dispersion relation at the spectral ...
Dohnal, Tomas, Wahlers, Lisa
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Advances in Applied Mathematics and Mechanics, 2020 In this paper, we study the two-dimensional Helmholtz scattering problem by a locally perturbed line with impedance boundary condition. Different from the problem with Dirichlet boundary condition, the Green function of the Helmholtz equation with ...
X. Li
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Regular solutions for Landau-Lifschitz equation in a bounded domain
Differential and Integral Equations, 2001 Domain. Gilles Carbou, Pierre Fabrie Mathématiques Appliquées de Bordeaux, Université Bordeaux 1, 351 cours de la Libération, 33405 Talence cedex, France.
G. Carbou, P. Fabrie
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, 2020 In this study, fractional reduced differential transform method (FRDTM) is developed to derive a semianalytical solution of fractional partial differential equations which involves Riesz space fractional derivatives.
S. Mohammadian, Y. Mahmoudi, F. D. Saei
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Analytical results for 2-D non-rectilinear waveguides based on the Green's function [PDF]
, 2007 We consider the problem of wave propagation for a 2-D rectilinear optical waveguide which presents some perturbation. We construct a mathematical framework to study such a problem and prove the existence of a solution for the case of small imperfections.
Ciraolo, Giulio, Magnanini, Rolando
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Non relativistic strings may be approximated by relativistic strings [PDF]
, 2005 We show that bounded families of global classical relativistic strings that can be written as graphs are relatively compact in C0 topology, but their accumulation points include many non relativistic strings. We also provide an alternative formulation of
Brenier, Yann
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Asymptotic behaviour of the inductance coefficient for thin conductors [PDF]
, 2002 We study the asymptotic behaviour of the inductance coefficient for a thin toroidal inductor whose thickness depends on a small parameter $\eps>0$.
Amirat, Youcef, Touzani, Rachid
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Computational Optimal Design of Random Rough Surfaces in Thin-Film Solar Cells
Communications in Computational Physics, 2019 Random rough textures can increase the absorbing efficiency of solar cells by trapping the optical light and increasing the optical path of photons. In this paper, we are concerned with optimal design of random rough surfaces in thin-film solar cells. We
G. Bao, Yanzhao Cao, Junshan Lin, H. Wyk
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On the weak solutions of the forward problem in EEG
Journal of Applied Mathematics, Volume 2003, Issue 12, Page 647-656, 2003., 2003 The process underlying the generation of the EEG signals can be described as a set of current sources within the brain. The potential distribution produced by these sources can be measured on the scalp and inside the brain by means of an EEG recorder.
M. I. Troparevsky, D. Rubio
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