کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1895277 1533989 2016 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Modulational instability and localized breather modes in the discrete nonlinear Schrödinger equation with helicoidal hopping
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Modulational instability and localized breather modes in the discrete nonlinear Schrödinger equation with helicoidal hopping
چکیده انگلیسی

We study a one-dimensional discrete nonlinear Schrödinger model with hopping to the first and a selected NNth neighbor, motivated by a helicoidal arrangement of lattice sites. We provide a detailed analysis of the modulational instability properties of this equation, identifying distinctive multi-stage instability cascades due to the helicoidal hopping term. Bistability is a characteristic feature of the intrinsically localized breather modes, and it is shown that information on the stability properties of weakly localized solutions can be inferred from the plane-wave modulational instability results. Based on this argument, we derive analytical estimates of the critical parameters at which the fundamental on-site breather branch of solutions turns unstable. In the limit of large NN, these estimates predict the emergence of an effective threshold behavior, which can be viewed as the result of a dimensional crossover to a two-dimensional square lattice.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volumes 328–329, 1 August 2016, Pages 9–20
نویسندگان
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