A SYSTEM OF INHOMOGENEOUS NLS ARISING IN OPTICAL MEDIA WITH A χ(2) NONLINEARITY, PART II: STABILITY OF STANDING WAVES
Dinh V.D. Esfahani A.
June 2025American Institute of Mathematical Sciences
Discrete and Continuous Dynamical Systems - Series B
2025#30Issue 72209 - 2232 pp.
We study the inhomogeneous nonlinear Schrödinger system (Formula presented). We employ variational analysis to establish the existence and qualitative properties of ground states associated with the system. The limiting behavior of positive radial ground states as α approaches zero is investigated using the mountain-pass energy method. Additionally, we explore the stability and instability of ground state standing waves. By relaxing the condition of radiality for ground states, we obtain significantly stronger instability results compared to those for the system of NLS.
blow-up , ground state , Inhomogeneous nonlinear Schrödinger system , stability
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Ecole Normale Supérieure de Lyon, CNRS, UMPA (UMR 5669), France
Department of Mathematics, Nazarbayev University, Astana, 010000, Kazakhstan
Ecole Normale Supérieure de Lyon
Department of Mathematics
10 лет помогаем публиковать статьи Международный издатель
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