Results 1 to 10 of about 674 (67)

Darboux transformation for classical acoustic spectral problem [PDF]

open access: yesInternational 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.
core   +6 more sources

On a system of multi-component Ginzburg-Landau vortices

open access: yesAdvances in Nonlinear Analysis, 2023
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

Novel computational and accurate numerical solutions of the modified Benjamin–Bona–Mahony (BBM) equation arising in the optical illusions field

open access: yesAlexandria Engineering Journal, 2021
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
doaj   +1 more source

Semi–analytical and numerical simulations of the modified Benjamin–Bona–Mahony model

open access: yesJournal of Ocean Engineering and Science, 2022
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

Perfectly Matched Layer Method for Acoustic Scattering Problem by a Locally Perturbed Line with Impedance Boundary Condition

open access: yesAdvances 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
semanticscholar   +1 more source

Closed-form solutions to the conformable space-time fractional simplified MCH equation and time fractional Phi-4 equation

open access: yesResults in Physics, 2020
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
doaj   +1 more source

Asymptotic behaviour of the inductance coefficient for thin conductors [PDF]

open access: yes, 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
core   +3 more sources

Regular solutions for Landau-Lifschitz equation in a bounded domain

open access: yesDifferential 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
semanticscholar   +1 more source

Analytical approximation of time-fractional telegraph equation with Riesz space-fractional derivative

open access: yes, 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
semanticscholar   +1 more source

Normalized multi-bump solutions for saturable Schrödinger equations

open access: yesAdvances in Nonlinear Analysis, 2019
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

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