کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1139877 956700 2009 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Thresholds for soliton creation in the Ablowitz–Ladik lattice
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
Thresholds for soliton creation in the Ablowitz–Ladik lattice
چکیده انگلیسی

Square barrier initial potentials for the Ablowitz–Ladik (AL) lattice are considered, both in the single component as well as in the vector (Manakov) case. We determine the threshold condition for creating solitons with such initial conditions in these integrable, discrete versions of the nonlinear Schrödinger equation for the case of one-, two-, three- and four-site barriers. We find that for square barriers in the scalar case, it is impossible to generate a soliton with a single-site excitation, while only one soliton can be produced from a two-site and three-site square barrier. Finally, in the four-site case, there appear to be two thresholds, one leading to a soliton and a second one to a breathing soliton. We illustrate the differences of the vector case from the scalar one for initial conditions with disjoint support between the components, and also discuss the case of non-square barriers. The analytical findings are corroborated by numerical simulations in all the presented cases.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematics and Computers in Simulation - Volume 80, Issue 4, December 2009, Pages 693–706
نویسندگان
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