AGROCAMPUS OUEST (Institut Supérieur des Sciences Agronomiques, Agroalimentaires, Horticoles et du Paysage - 65, rue de St Brieuc - CS 84215 - 35042 Rennes cedex - France)
Abstract : In this paper we study a discrete Raman laser amplification model given as a Lotka-Volterra system. We show that in an ideal situation, the equations can be written as a Poisson system with boundary conditions using a global change of coordinates. We address the questions of existence and uniqueness of a solution. We deduce numerical schemes for the approximation of the solution that have more stability than the standard shooting methods.
https://hal.inria.fr/inria-00071810
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Submitted on : Tuesday, May 23, 2006 - 6:51:29 PM Last modification on : Thursday, February 11, 2021 - 2:48:03 PM Long-term archiving on: : Tuesday, February 22, 2011 - 12:01:18 PM