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Bifurcation from semi-trivial standing waves and ground states for a system of nonlinear Schrodinger equations

Mathieu Colin 1, 2, 3, 4 Masahito Ohta 5 
Abstract : We consider a system of nonlinear Schr¨odinger equations related to the Raman amplification in a plasma. We study the orbital stability and instability of standing waves bifurcating from the semi-trivial standing wave of the system. The stability and instability of the semitrivial standing wave at the bifurcation point are also studied. Moreover, we determine the set of the ground states completely.
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https://hal.inria.fr/hal-00656237
Contributor : Mathieu Colin Connect in order to contact the contributor
Submitted on : Tuesday, January 3, 2012 - 6:16:07 PM
Last modification on : Wednesday, February 2, 2022 - 3:53:26 PM

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  • HAL Id : hal-00656237, version 1

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Mathieu Colin, Masahito Ohta. Bifurcation from semi-trivial standing waves and ground states for a system of nonlinear Schrodinger equations. SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2012, 44 (1), pp.206-223. ⟨hal-00656237⟩

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