Stability of standing wave for the fractional nonlinear Schrödinger equation
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DOI: 10.1063/1.5021689
Abstract: In this paper, we study the stability and instability of standing waves for the fractional nonlinear Schrodinger equation i∂tu = (−Δ)su − |u|2σu, where (t,x)∈R × RN, 12 read more here.
Keywords: standing wave; wave fractional; fractional nonlinear; equation ... See more keywords
Stability of standing waves for a nonlinear SchrÖdinger equation under an external magnetic field
Sign Up to like & getrecommendations! Published in 2017 at "Communications on Pure and Applied Analysis"
DOI: 10.3934/cpaa.2018010
Abstract: In this paper we study the existence and orbital stability of ground states for logarithmic Schrodinger equation under a constant magnetic field. For this purpose we establish the well-posedness of the Cauchy Problem in a… read more here.
Keywords: magnetic field; equation; stability; standing waves ... See more keywords