Bifurcation from semi-trivial standing waves and ground states for a system of nonlinear Schrodinger equations - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles SIAM Journal on Mathematical Analysis Year : 2012

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

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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Dates and versions

hal-00656237 , version 1 (03-01-2012)

Identifiers

  • HAL Id : hal-00656237 , version 1

Cite

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, 2012, 44 (1), pp.206-223. ⟨hal-00656237⟩
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