Results 1 to 10 of about 674 (67)
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
doaj +1 more source
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
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
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]
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
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
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
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