Results 1 to 10 of about 1,278,901 (285)

On Darboux's Approach to R-Separability of Variables

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2011
We discuss the problem of R-separability (separability of variables with a factor R) in the stationary Schrödinger equation on n-dimensional Riemann space.
Adam Szereszewski, Antoni Sym
doaj   +1 more source

Superintegrable Stäckel Systems on the Plane: Elliptic and Parabolic Coordinates

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2012
Recently we proposed a generic construction of the additional integrals of motion for the Stäckel systems applying addition theorems to the angle variables.
Andrey V. Tsiganov
doaj   +1 more source

How Can We Manage Repairing a Broken Finite Vibrating String? Solutions to the Problem I

open access: yesJournal of Optimization, Differential Equations and Their Applications
The current research deals with an initial-boundary value problem (IBVP) with the Dirichlet boundary conditions for the 1D homogeneous wave equation with discontinuous piece-wise constant coefficient previously formulated (JODEA, 31 (2) (2023), 89 – 114)
Vladimir L. Borsch
doaj   +1 more source

Vadim Kuznetsov. Informal Biography by Eyes of His First Adviser

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2007
The paper is dedicated to the memory of prominent theoretical physicist and mathematician Dr. Vadim Kuznetsov who worked, in particular, in the fields of the nonlinear dynamics, separation of variables, integrability theory, special functions.
Igor V. Komarov
doaj  

Application of method of separation of variables for analyzing floating breakwaters

open access: yesنشریه مهندسی دریا, 2016
In this article, a rectangular cross section breakwater in water of finite depth and infinite domain is studied using the separation of the variables method in regular, sinusoidal waves.
Esmaeel Masoodi, hamid Zeraatgar
doaj  

Separation of variables and the XXZ Gaudin magnet

open access: yes, 1994
In this work we generalise previous results connecting (rational) Gaudin magnet models and classical separation of variables. It is shown that the connection persists for the case of linear r-matrix algebra which corresponds to the trigonometric 4x4 r ...
Kalnins, E. G.   +2 more
core   +2 more sources

On Separation of Variables

open access: yes, 2002
The necessary and sufficient conditions for a function to be totally or partially separable are derived. It is shown that a function is totally separable if and only if each component of the gradient vector of depends only on the corresponding variable.
openaire   +2 more sources

Do Dads matter? Or is it just their money that matters? Unpicking the effects of separation on educational outcomes by and [PDF]

open access: yes
The widely held view that separation has adverse effects on children has been the basis of important policy interventions. While a small number of analyses have been concerned with selection into divorce, no studies have attempted to separate out the ...
Ian Walker, Yu Zhu
core  

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