Now showing items 1-10 of 56
The resonant nonlinear Schrödinger equation in cold plasma physics. Application of Bäcklund-Darboux transformations and superposition principles
(Cambridge University Press, 2007-04)
A system of nonlinear equations governing the transmission of uni-axial waves in a cold collisionless plasma subject to a transverse magnetic field is reduced to the recently proposed resonant nonlinear Schrödinger (RNLS) ...
A Stabilizing subgrid for convection-diffusion problem
(World Scientific Publishing, 2006-02)
A stabilizing subgrid which consists of a single additional node in each triangular element is analyzed by solving the convection-diffusion problem, especially in the case of small diffusion. The choice of the location of ...
On a recent generalization of semiperfect rings
(Cambridge University Press, 2008-10)
In a recent paper by Wang and Ding, it was stated that any ring which is generalized supplemented as a left module over itself is semiperfect. The purpose of this note is to show that Wang and Ding's claim is not true and ...
Dissipative hierarchies and resonance solitons for KP-II and MKP-II
We show that dissipative solitons (dissipatons) of the second and the third members of SL(2,R) AKNS hierarchy give rise to the real solitons of KP-II, while for SL(2,R) Kaup-Newell hierarchy they give solitons of MKP-II. ...
Modules over Prüfer domains which satisfy the radical formula
(Cambridge University Press, 2007-01)
In this paper we prove that if R is a Prüfer domain, then the R-module R ⊕ R satisfies the radical formula. © 2007 Glasgow Mathematical Journal Trust.
Vector shock soliton and the Hirota bilinear method
The Hirota bilinear method is applied to find an exact shock soliton solution of the system reaction-diffusion equations for n-component vector order parameter, with the reaction part in form of the third order polynomial, ...
Integrable vortex dynamics in anisotropic planar spin liquid model
The problem of magnetic vortex dynamics in an anisotropic spin liquid model is considered. For incompressible flow the model admits reduction to saturating Bogomolny inequality analytic projections of spin variables, subject ...
Asymptotic behavior of linear impulsive integro-differential equations
Asymptotic equilibria of linear integro-differential equations and asymptotic relations between solutions of linear homogeneous impulsive differential equations and those of linear integro-differential equations are ...
Finite element method solution of electrically driven magnetohydrodynamic flow
The magnetohydrodynamic (MHD) flow in a rectangular duct is investigated for the case when the flow is driven by the current produced by electrodes, placed one in each of the walls of the duct where the applied magnetic ...
Casimir energies for some single cavities
Casimir energies for some single cavities. Casimir energies are discussed for some cavities.