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Teoreticheskaya i Matematicheskaya Fizika, 2002, Volume 131, Number 2, Pages 244–260
DOI: https://doi.org/10.4213/tmf328
(Mi tmf328)
 

Dynamic Systems Admitting the Normal Shift and Wave Equations

R. A. Sharipov

Bashkir State University
References:
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
English version:
Theoretical and Mathematical Physics, 2002, Volume 131, Issue 2, Pages 651–665
DOI: https://doi.org/10.1023/A:1015424831734
Bibliographic databases:
Language: Russian
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
Citation in format AMSBIB
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\paper Dynamic Systems Admitting the Normal Shift and Wave Equations
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\transl
\jour Theoret. and Math. Phys.
\yr 2002
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\issue 2
\pages 651--665
\crossref{https://doi.org/10.1023/A:1015424831734}
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  • https://www.mathnet.ru/eng/tmf/v131/i2/p244
  • Citing articles in Google Scholar: Russian citations, English citations
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    Теоретическая и математическая физика Theoretical and Mathematical Physics
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