Results 21 to 30 of about 1,287,809 (281)

On the Optimal Control Problem for Vibrations of the Rod/String Consisting of Two Non-Homogeneous Sections with the Condition at an Intermediate Time

Mathematics, 2022
We consider an optimal boundary control problem for a one-dimensional wave equation consisting of two non-homogenous segments with piecewise constant characteristics. The wave equation describes the longitudinal vibrations of a non-homogeneous rod or the
Vanya Barseghyan, Svetlana Solodusha
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Bihamiltonian geometry and separation of variables for Toda lattices [PDF]

, 2000
We discuss the bihamiltonian geometry of the Toda lattice (periodic and open). Using some recent results on the separation of variables for bihamiltonian manifolds, we show that these systems can be explicitly integrated via the classical Hamilton-Jacobi
Falqui, G., Magri, F., Pedroni, M.
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Hyperspherical Harmonics, Separation of Variables and the Bethe Ansatz [PDF]

, 1994
The relation between solutions to Helmholtz's equation on the sphere $S^{n-1}$ and the $[{\gr sl}(2)]^n$ Gaudin spin chain is clarified. The joint eigenfuctions of the Laplacian and a complete set of commuting second order operators suggested by the $R$--
A. J. Macfarlane, A. O. Barut, D. Basu, E. G. Kalnins, E. G. Kalnins, E. K. Sklyanin, G. Szegö, J. Harnad, J. Harnad, J. Patera, J. W. B. Hughes, L. D. Faddeev, L. Gagnon, M. Gaudin, M. Gaudin, M. R. Adams, M. R. Adams, M. R. Adams, M. R. Adams, M. R. Adams, N. J. Vilenkin, O. Babelon, P. Winternitz, S. Sternberg, V. B. Kuznetsov, V. B. Kuznetsov   +25 more
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Action-angle variables for the Lie–Poisson Hamiltonian systems associated with the Hirota–Satsuma modified Boussinesq equation

Frontiers in Physics, 2023
In this work, we present two finite-dimensional Lie–Poisson Hamiltonian systems associated with the Hirota–Satsuma modified Boussinesq equation by using the nonlinearization method. Moreover, the separation of variables on the common level set of Casimir
Xue Geng, Dianlou Du, Xianguo Geng
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Two-dimensional SUSY-pseudo-Hermiticity without separation of variables [PDF]

, 2003
We study SUSY-intertwining for non-Hermitian Hamiltonians with special emphasis to the two-dimensional generalized Morse potential, which does not allow for separation of variables.
Ahmed, Ahmed, Ahmed, Andrianov, Andrianov, Andrianov, Andrianov, Andrianov, Andrianov, Andrianov, Andrianov, Andrianov, Andrianov, Bagchi, Bender, Bender, Bender, Bender, Caliceti, Cannata, Cannata, Cannata, Cooper, D.N. Nishnianidze, Dorey, Dorey, F. Cannata, Fernandez, Finkel, Fityo, Gendenshtein, Japaridze, Jia, Junker, Levai, Levai, M.V. Ioffe, Mostafazadeh, Mostafazadeh, Mostafazadeh, Mostafazadeh, Nanayakkara, Turbiner, Ushveridze, Znojil   +44 more
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Large-signal averaged models of the non-ideal flyback converter derived by the separation of variables [PDF]

Bulletin of the Polish Academy of Sciences: Technical Sciences, 2020
The main topic of the paper is the large signal averaged model of a switch-mode flyback power converter. The use of the large-signal averaged models of switching converters allows for fast simulation of power systems.
W. Janke, M. Bączek, J. Kraśniewski
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New Variables of Separation for the Steklov-Lyapunov System

Symmetry, Integrability and Geometry: Methods and Applications, 2012
A rigid body in an ideal fluid is an important example of Hamiltonian systems on a dual to the semidirect product Lie algebra e(3)=so(3)⋉R^3. We present the bi-Hamiltonian structure and the corresponding variables of separation on this phase space for ...
Andrey V. Tsiganov
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Separation of variables for the Ruijsenaars system

, 1997
We construct a separation of variables for the classical n-particle Ruijsenaars system (the relativistic analog of the elliptic Calogero-Moser system). The separated coordinates appear as the poles of the properly normalised eigenvector (Baker-Akhiezer ...
Kuznetsov, V. B., Nijhoff, F. W., Sklyanin, E. K.   +2 more
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On Separation of Variables for Integrable Equations of Soliton Type [PDF]

, 2007
We propose a general scheme for separation of variables in the integrable Hamiltonian systems on orbits of the loop algebra $\mathfrak{sl}(2,\Complex)\times \mathcal{P}(\lambda,\lambda^{-1})$.
Adler M., Alber M. S., Antonowicz M., Babelon O., Bernatska J. N., Blaszak M., Blaszak M., Blaszak M., Dubrovin B. A., Dubrovin B. A., Falqui G., Falqui G., Falqui G., Harnad J., Holod P., Holod P. I., Holod P. I., Holod P. I., Its A. R., Kac V., Kozel V. A., Magnano G., Novikov S. P., Previato E., Prikarpatsky A. K., Sklyanin E. K., Sklyanin E. K., Sklyanin E. K., ten Kroode F., Veselov A. P., Veselov A. P.   +30 more
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Transient Thermoelastic Analysis of Rectangular Plates with Time-Dependent Convection and Radiation Boundaries

Buildings, 2023
Approximate analytical solutions are presented for the transient thermoelastic problem of rectangular plates with time-dependent convection and radiation boundaries.
Zhong Zhang, Ying Sun, Ziru Xiang, Wangping Qian, Xuejun Shao   +4 more
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