Hamilton-Jacobi theory of continuous systems

Güler, Y.
The Hamilton-Jacobi partial differnetial equation for classical field systems is obtained in a 5n-dimensional phase space and it is integrated by the method of characteristics. Space-time partial derivatives of Hamilton’s principal functionsS μ (Φ i ,x ν ) (μ,ν=1,2,3,4) are identified as the energy-momentum tensor of the system.
Il Nuovo Cimento B Series 11


Prolongation structures, backlund transformations and painleve analysis of nonlinear evolution equations
Yurduşen, İsmet; Karasu, Emine Ayşe; Department of Physics (2004)
The Wahlquist-Estabrook prolongation technique and the Painleve analysis, used for testing the integrability of nonlinear evolution equations, are considered and applied both to the Drinfel'd-Sokolov system of equations, indeed known to be one of the coupled Korteweg-de Vries (KdV) systems, and Kersten-Krasil'shchik coupled KdV-mKdV equations. Some new Backlund transformations for the Drinfel'd-Sokolov system of equations are also found.
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Mems gyroscopes for tactical-grade inertial measurement applications
Alper, Said Emre; Akın, Tayfun; Department of Electrical and Electronics Engineering (2005)
This thesis reports the development of high-performance symmetric and decoupled micromachined gyroscopes for tactical-grade inertial measurement applications. The symmetric structure allows easy matching of the resonance frequencies of the drive and sense modes of the gyroscopes for achieving high angular rate sensitivity; while the decoupled drive and sense modes minimizes mechanical cross-coupling for low-noise and stable operation. Three different and new symmetric and decoupled gyroscope structures with...
Numerical studies of the electronic properties of low dimensional semiconductor heterostructures
Dikmen, Bora; Tomak, Mehmet; Department of Physics (2004)
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Hamilton-Jacobi theory of discrete, regular constrained systems
Güler, Y. (Springer Science and Business Media LLC, 1987-8)
The Hamilton-Jacobi differential equation of a discrete system with constraint equationsG α=0 is constructed making use of Carathéodory’s equivalent Lagrangian method. Introduction of Lagrange’s multipliersλ˙α as generalized velocities enables us to treat the constraint functionsG α as the generalized momenta conjugate toλ˙α. Canonical equations of motion are determined.
Citation Formats
Y. Güler, “Hamilton-Jacobi theory of continuous systems,” Il Nuovo Cimento B Series 11, pp. 251–266, 1987, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/52016.