High-energy optical Schrödinger solitons

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The conditions for the existence of a Lax pair were determined and exact analytic solutions to the nonlinear evolution equations of the Schrödinger type with complex and nonuniform potentials were found. In particular, these solutions provide a basis for the soliton management concept in applied problems and solve the problems of optimal energy accumulation by a Schrödinger soliton in an active medium and soliton amplification in optical fiber communication lines and soliton lasers.

Translated from Pis’ma v Zhurnal Éksperimental’no \(\overset{\lower0.5em\hbox{\(\smash{\scriptscriptstyle\smile}\)}}{l} \) i Teoretichesko \(\overset{\lower0.5em\hbox{\(\smash{\scriptscriptstyle\smile}\)}}{l} \) Fiziki, Vol. 74, No. 12, 2001, pp. 649–654.
Original Russian Text Copyright © 2001 by Serkin, Belyaeva.