کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1898187 1044643 2007 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Modulational instability and discrete breathers in the discrete cubic–quintic nonlinear Schrödinger equation
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Modulational instability and discrete breathers in the discrete cubic–quintic nonlinear Schrödinger equation
چکیده انگلیسی

We investigate the properties of modulational instability and discrete breathers in the cubic–quintic discrete nonlinear Schrödinger equation. We analyze the regions of modulational instabilities of nonlinear plane waves. Using the Page approach [J.B. Page, Phys. Rev. B 41 (1990) 7835], we derive the conditions for the existence and stability for bright discrete breather solutions. It is shown that the quintic nonlinearity brings qualitatively new conditions for stability of strongly localized modes. The application to the existence of localized modes in the Bose–Einstein condensate (BEC) with three-body interactions in an optical lattice is discussed. The numerical simulations agree with the analytical predictions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volume 232, Issue 1, 1 August 2007, Pages 54–61
نویسندگان
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