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Preprints of the Keldysh Institute of Applied Mathematics, 1995, 041 (Mi ipmp1657)  
Estimation of Eigenvalues in the Raman-Type Nonlinear Model

V. V. Vedenyapin, Yu. N. Orlov, I. P. Pavlotskii, V. M. Suslin, A. S. Shumovsky
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Abstract: For general Raman-type model describing decay of a pumping mode into p components the estimation of eigenvalues is obtained. It is shown that at p>1 the exact spectrum contains a brunch with negative energies E<sub>n</sub> and E<sub>n</sub>\to \infty when the number of exitations n\to \infty . The physical reasons are discussed.
Document Type: Preprint
Language: Russian
Citation: V. V. Vedenyapin, Yu. N. Orlov, I. P. Pavlotskii, V. M. Suslin, A. S. Shumovsky, “Estimation of Eigenvalues in the Raman-Type Nonlinear Model”, Keldysh Institute preprints, 1995, 041
Citation in format AMSBIB
\Bibitem{VedOrlSus95}
\by V.~V.~Vedenyapin, Yu.~N.~Orlov, I.~P.~Pavlotskii, V.~M.~Suslin, A.~S.~Shumovsky
\paper Estimation of Eigenvalues in the Raman-Type Nonlinear Model
\jour Keldysh Institute preprints
\yr 1995
\papernumber 041
\mathnet{http://mi.mathnet.ru/ipmp1657}
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    		Препринты Института прикладной математики им. М. В. Келдыша РАН
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