کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
7154429 1462579 2019 27 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the incomplete recurrence of modulationally unstable deep-water surface gravity waves
ترجمه فارسی عنوان
در تجدید ناقص امواج گرانشی سطح عمیق مدولاسیون ناپایدار
کلمات کلیدی
عود، بی ثباتی مدولاسیون، تعامل موج غیر خطی، حالت های متصل،
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
چکیده انگلیسی
The issue of a recurrence of modulationally unstable water wave trains within the framework of the fully nonlinear potential Euler equations is addressed. It is examined, in particular, if a modulation, which appears from nowhere (i.e., is infinitesimal initially) and generates a rogue wave, can disappear with no trace. If so, this wave solution would be a breather solution of the primitive hydrodynamic equations. It is shown with the help of the fully nonlinear numerical simulation that when a rogue wave emerges from a uniform Stokes wave train, it excites other waves which have different lengths. This process prevents the complete recurrence and, eventually, results in a quasi-periodic breathing of the wave envelope. Meanwhile the discovered effects are rather small in magnitude, and the period of the modulation breathing may be thousands of the dominant wave periods. Thus, the obtained solution may be called a quasi-breather of the Euler equations.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 66, January 2019, Pages 167-182
نویسندگان
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