Critical blowup in coupled Parity-Time-symmetric nonlinear Schrödinger equations

Abstract : In this article, we obtain sucient conditions to obtain finite time blowup in a system of two coupled nonlinear Schrödinger (NLS) equations in the critical case. This system mainly considered here in dimension 2, couples one equation including gain and the other one including losses, constituting a generalization of the model of pulse propagation in birefringent optical fibers. In the spirit of the seminal work of Glassey, the proofs used the virial technique arguments.
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Article dans une revue
AIMS Mathematics, AIMS Press, 2017, <10.3934/Math.2017.1.195>
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https://hal.univ-antilles.fr/hal-01492062
Contributeur : Pascal Poullet <>
Soumis le : vendredi 17 mars 2017 - 20:16:59
Dernière modification le : samedi 18 mars 2017 - 01:03:45

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Edès Destyl, Silvère Paul Nuiro, Pascal Poullet. Critical blowup in coupled Parity-Time-symmetric nonlinear Schrödinger equations. AIMS Mathematics, AIMS Press, 2017, <10.3934/Math.2017.1.195>. <hal-01492062>

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