کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4616184 1339341 2014 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Validity of the KdV equation for the modulation of periodic traveling waves in the NLS equation
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Validity of the KdV equation for the modulation of periodic traveling waves in the NLS equation
چکیده انگلیسی

Bethuel et al. [1] and [2] and Chiron and Rousset [3] gave very nice proofs of the fact that slow modulations in time and space of periodic wave trains of the NLS equation can approximately be described via solutions of the KdV equation associated with the wave train. Here we give a much shorter proof of a slightly weaker result avoiding the very detailed and fine analysis of [1], [2] and [3]. Our error estimates are based on a suitable choice of polar coordinates, a Cauchy–Kowalevskaya-like method, and energy estimates.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 414, Issue 1, 1 June 2014, Pages 166–175
نویسندگان
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