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JOURNALS // Preprints of the Keldysh Institute of Applied Mathematics // Archive

Keldysh Institute preprints, 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


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.



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