Results 1 to 10 of about 624 (44)
Darboux transformation for classical acoustic spectral problem [PDF]
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.
core +6 more sources
On a system of multi-component Ginzburg-Landau vortices
We study the asymptotic behavior of solutions for nn-component Ginzburg-Landau equations as ε→0\varepsilon \to 0. We prove that the minimizers converge locally in any Ck{C}^{k}-norm to a solution of a system of generalized harmonic map equations.
Hadiji Rejeb, Han Jongmin, Sohn Juhee
doaj +1 more source
This research is based on three main pillars which are studying the computational solutions of the modified Benjamin–Bona–Mahony (BBM) equation via the modified Khater method then investigating the stability property of the obtained solutions through the
Mostafa M.A. Khater +4 more
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Semi–analytical and numerical simulations of the modified Benjamin–Bona–Mahony model
In this article, semi-analytical and numerical simulations of the well-known modified Benjamin–Bona–Mahony (mBBM) equation are processed. This study targets to check the accuracy of the obtained analytical solutions of the mBBM model that have been ...
Mostafa M.A. Khater, Samir A. Salama
doaj +1 more source
The time-fractional problem is a class of important models to represent the real phenomena. We construct new solitary waves for the space-time fractional simplified modified Camassa-Holm (MCH) and the time fractional Phi-4 equations using the unified ...
Mahmoud A.E. Abdelrahman +1 more
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Asymptotic behaviour of the inductance coefficient for thin conductors [PDF]
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
core +4 more sources
Recovery of the absorption coefficient in radiative transport from a single measurement [PDF]
In this paper, we investigate the recovery of the absorption coefficient from boundary data assuming that the region of interest is illuminated at an initial time.
Acosta, Sebastian
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Normalized multi-bump solutions for saturable Schrödinger equations
In this paper, we are concerned with the existence of multi-bump solutions for a class of semiclassical saturable Schrödinger equations with an density function:
Wang Xiaoming, Wang Zhi-Qiang
doaj +1 more source
Inequalities involving Aharonov-Bohm magnetic potentials in dimensions 2 and 3 [PDF]
This paper is devoted to a collection of results on nonlinear interpolation inequalities associated with Schr\"odinger operators involving Aharonov-Bohm magnetic potentials, and to some consequences.
Bonheure, Denis +4 more
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On the weak solutions of the forward problem in EEG
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
wiley +1 more source

