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Dynamic Systems Admitting the Normal Shift and Wave Equations
R. A. Sharipov Bashkir State University
Abstract:
We consider wave equations on Riemannian manifolds and investigate wave front dynamics in the semiclassical approximation. The problem of finding wave equations whose wave front dynamics is described by Newtonian dynamic systems admitting the normal shift is solved. A subclass of these dynamic systems that can be defined by modified Lagrange and Hamilton equations is described explicitly.
Received: 15.09.2001
Citation:
R. A. Sharipov, “Dynamic Systems Admitting the Normal Shift and Wave Equations”, TMF, 131:2 (2002), 244–260; Theoret. and Math. Phys., 131:2 (2002), 651–665
Linking options:
https://www.mathnet.ru/eng/tmf328https://doi.org/10.4213/tmf328 https://www.mathnet.ru/eng/tmf/v131/i2/p244
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Statistics & downloads: |
Abstract page: | 445 | Full-text PDF : | 222 | References: | 56 | First page: | 2 |
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