کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8204601 1530554 2016 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Wave phenomena of the Toda lattice with steplike initial data
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
Wave phenomena of the Toda lattice with steplike initial data
چکیده انگلیسی
We give a survey of the long-time asymptotics for the Toda lattice with steplike constant initial data using the nonlinear steepest descent analysis and its extension based on a suitably chosen g-function. Analytic formulas for the leading term of the asymptotic solutions of the Toda shock and rarefaction problems (including the case of overlapping background spectra) are given and complemented by numerical simulations. We provide an explicit formula for the modulated solution in terms of Abelian integrals on the underlying hyperelliptic Riemann surface.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physics Letters A - Volume 380, Issues 11–12, 11 March 2016, Pages 1110-1116
نویسندگان
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