Order reprints

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

Edès Destyl Silvere Paul Nuiro Pascal Poullet

*Corresponding author: Pascal Poullet pascal.poullet@univ-antilles.fr

Math2017,1,195doi:10.3934/Math.2017.1.195

In this article, we obtain suffcient 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.

Please supply your name and a valid email address you yourself

Fields marked*are required

Article URL   http://www.aimspress.com/Math/article/1349.html
Article ID   Math-02-00195
Editorial Email  
Your Name *
Your Email *
Quantity *

Copyright © AIMS Press All Rights Reserved