کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
842760 1470528 2009 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the asymptotic stability of solitary waves in the discrete Schrödinger equation coupled to a nonlinear oscillator
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
On the asymptotic stability of solitary waves in the discrete Schrödinger equation coupled to a nonlinear oscillator
چکیده انگلیسی
The long-time asymptotics is analyzed for finite energy solutions of the 1D discrete Schrödinger equation coupled to a nonlinear oscillator. The coupled system is invariant with respect to the phase rotation group U(1). For initial states close to a solitary wave, the solution converges to a sum of another solitary wave and a dispersive wave which is a solution to the free Schrödinger equation. The proofs use the strategy of Buslaev-Perelman [V.S. Buslaev, G.S. Perelman, On the stability of solitary waves for nonlinear Schrödinger equations, Amer. Math. Soc. Trans. 2 164 (1995), 75-98]: the linearization of the dynamics on the solitary manifold, the symplectic orthogonal projection, method of majorants, etc.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 71, Issues 7–8, 1–15 October 2009, Pages 3031-3046
نویسندگان
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