کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1897463 1044539 2006 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A bi-Hamiltonian structure for the integrable, discrete non-linear Schrödinger system
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
A bi-Hamiltonian structure for the integrable, discrete non-linear Schrödinger system
چکیده انگلیسی
This paper shows that the AL (Ablowitz-Ladik) hierarchy of (integrable) equations can be explicitly viewed as a hierarchy of commuting flows which: (a) are Hamiltonian with respect to both a standard, local Poisson operator J, and a new non-local, skew, almost Poisson operator K, on the appropriate space; (b) can be recursively generated from a recursion operator R=KJ−1. In addition, the proof of these facts relies upon two new pivotal resolvent identities which suggest a general method for uncovering bi-Hamiltonian structures for other families of discrete, integrable equations.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volume 218, Issue 2, 15 June 2006, Pages 105-121
نویسندگان
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