کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4666293 1345395 2012 59 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The periodic defocusing Ablowitz-Ladik equation and the geometry of Floquet CMV matrices
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
The periodic defocusing Ablowitz-Ladik equation and the geometry of Floquet CMV matrices
چکیده انگلیسی
In this work, we show that the periodic defocusing Ablowitz-Ladik equation can be expressed as an isospectral deformation of Floquet CMV matrices. We then introduce a Poisson Lie group whose underlying group is a loop group and show that the set of Floquet CMV matrices is a Coxeter dressing orbit of this Poisson Lie group. By using the group-theoretic framework, we establish the Liouville integrability of the equation by constructing action-angle variables, we also solve the Hamiltonian equations generated by the commuting flows via Riemann-Hilbert factorization problems.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 231, Issue 6, 20 December 2012, Pages 3330-3388
نویسندگان
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