Results 11 to 20 of about 1,287,809 (281)

New variables of separation for particular case of the Kowalevski top

Regular and Chaotic Dynamics, 2010
We discuss the polynomial bi-Hamiltonian structures for the Kowalevski top in special case of zero square integral. An explicit procedure to find variables of separation and separation relations is considered in detail.Comment: 11 pages, LaTeX with Ams ...
A. V. Tsiganov, A.V. Borisov, A.V. Tsiganov, A.V. Tsiganov, A.V. Tsiganov, A.V. Tsiganov, A.V. Tsiganov, A.V. Tsiganov, A.V. Tsiganov, A.V. Tsiganov, A.V. Vershilov, B.A. Dubrovin, C.G. J. Jacobi, D. Markushevich, F. Magri, F. Richelot, F.A. Smirnov, G. Falqui, H.M. Yehia, M. Audin, S. Kowalevski, S. Matsutani, S. Rauch-Wojciechowski, S.P. Novikov, V. B. Kuznetsov   +24 more
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Orbit Approach to Separation of Variables in sl(4)-Related Integrable Systems [PDF]

, 2014
Separation of variables by means of the orbit method is implemented to integrable systems on coadjoint orbits in an $\mathfrak{sl}(4)$ loop algebra. This is a development and a kind of explanation for Sklyanin's procedure of separation of variables.
Bernatska, Julia
core   +3 more sources

Maxwell’s Equations in Homogeneous Spaces for Admissible Electromagnetic Fields

Universe, 2022
Maxwell’s vacuum equations are integrated for admissible electromagnetic fields in homogeneous spaces. Admissible electromagnetic fields are those for which the space group generates an algebra of symmetry operators (integrals of motion) that is ...
Valery V. Obukhov
doaj   +1 more source

Modeling of cylindrical composite shell structures based on the Reissner’s Mixed Variational Theorem with a variable separation method

Advanced Modeling and Simulation in Engineering Sciences, 2019
This work deals with the modeling of laminated composite and sandwich shells through a variable separation approach based on a Reissner’s Variational Mixed Theorem (RMVT).
Philippe Vidal, Olivier Polit, Laurent Gallimard, Michele D’Ottavio   +3 more
doaj   +1 more source

Cartesian Operator Factorization Method for Hydrogen

Atoms, 2022
We generalize Schrödinger’s factorization method for Hydrogen from the conventional separation into angular and radial coordinates to a Cartesian-based factorization.
Xinliang Lyu, Christina Daniel, James K. Freericks   +2 more
doaj   +1 more source

Asymptotic Separation of Variables

Journal of Mathematical Analysis and Applications, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Estrada, R., Kanwal, R.P.
openaire   +2 more sources

Separation of variables in the WZW models

Journal of High Energy Physics, 2021
We consider dynamics of scalar and vector fields on gravitational backgrounds of the Wess-Zumino-Witten models. For SO(4) and its cosets, we demonstrate full separation of variables for all fields and find a close analogy with a similar separation of ...
Oleg Lunin, Jia Tian
doaj   +1 more source

Control of String Vibrations by Displacement of One End with the Other End Fixed, Given the Deflection Form at an Intermediate Moment of Time

Axioms, 2022
We consider a boundary control problem for the equation of string vibration with given initial and final conditions, given the deflection form at an intermediate moment of time.
Vanya Barseghyan, Svetlana Solodusha
doaj   +1 more source

How Can We Manage Repairing a Broken Finite Vibrating String? Formulations of the Problem

Journal of Optimization, Differential Equations and Their Applications, 2023
Three approaches to solve a well-known IBVP posed for vibrating composite string with piece-wise constant properties have been applied. The main issue of the stufy is the number of the matching conditions to be imposed for the solution to the IBVP to be ...
Vladimir L. Borsch, Peter I. Kogut
doaj   +1 more source

Separation of Sets of Variables in Quantum Mechanics [PDF]

, 1964
Separation of the Schrödinger equation for molecular dynamics into sets of variables can sometimes be performed when separation into individual variables is neither possible nor for certain purposes necesary.
Marcus, R. A.
core   +2 more sources