کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1897620 1044556 2006 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A regularized model equation for discrete breathers in anharmonic lattices with symmetric nearest-neighbor potentials
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
A regularized model equation for discrete breathers in anharmonic lattices with symmetric nearest-neighbor potentials
چکیده انگلیسی

We propose a regularized continuum model equation for describing discrete breathers or intrinsic localized modes in one-dimensional anharmonic lattices with symmetric nearest-neighbor potentials. Exact stationary breather solutions with purely hard quartic anharmonicity, as well as approximate stationary breather solutions in the general case, are found. The application of the multiple scales analysis indicates the movability of the small-amplitude breather solutions. The results of numerical simulations for the model equation fully support the analytical solutions. As regards the breather–breather collisions, the continuum model shares many common features with its discrete counterpart, which provides an opportunity to clarify the energy exchange mechanism for collisions between discrete breathers in lattices.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volume 214, Issue 1, 1 February 2006, Pages 33–41
نویسندگان
, , ,