untitled
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<responseDate>2018-01-15T18:18:06Z</responseDate>
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<identifier>oai:HAL:hal-01492062v1</identifier>
<datestamp>2017-12-21</datestamp>
<setSpec>type:ART</setSpec>
<setSpec>subject:math</setSpec>
<setSpec>collection:UNIV-AG</setSpec>
<setSpec>collection:INSMI</setSpec>
<setSpec>collection:BNRMI</setSpec>
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<metadata><dc>
<publisher>HAL CCSD</publisher>
<title lang=en>Critical blowup in coupled Parity-Time-symmetric nonlinear Schrödinger equations</title>
<creator>Destyl, Edès</creator>
<creator>Paul Nuiro, Silvère</creator>
<creator>Poullet, Pascal</creator>
<contributor>Laboratoire de Mathématiques Informatique et Applications (LAMIA) ; Université des Antilles et de la Guyane (UAG)</contributor>
<description>International audience</description>
<source>ISSN: 2473-6988</source>
<source>AIMS Mathematics</source>
<publisher>AIMS Press</publisher>
<identifier>hal-01492062</identifier>
<identifier>https://hal.univ-antilles.fr/hal-01492062</identifier>
<source>https://hal.univ-antilles.fr/hal-01492062</source>
<source>AIMS Mathematics, AIMS Press, 2017, 〈10.3934/Math.2017.1.195〉</source>
<identifier>DOI : 10.3934/Math.2017.1.195</identifier>
<relation>info:eu-repo/semantics/altIdentifier/doi/10.3934/Math.2017.1.195</relation>
<language>en</language>
<subject lang=en> finite time blowup</subject>
<subject lang=en> Parity-Time symmetry</subject>
<subject lang=en>Coupled nonlinear Schrödinger equations</subject>
<subject lang=en> generalized Manakov model</subject>
<subject>[MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP]</subject>
<type>info:eu-repo/semantics/article</type>
<type>Journal articles</type>
<description lang=en>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.</description>
<date>2017</date>
</dc>
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