کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1866580 | 1530665 | 2006 | 7 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Integral convergence of the higher-order theory for solitary waves
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موضوعات مرتبط
مهندسی و علوم پایه
فیزیک و نجوم
فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Integral convergence of the higher-order theory for solitary waves Integral convergence of the higher-order theory for solitary waves](/preview/png/1866580.png)
چکیده انگلیسی
An exact analytic solution for a solitary wave of arbitrary height is attained by series expansions of flow variables based on parameter ε=k2h2, (k being the wave number of the solitary wave on water of uniform depth h) by orders in O(εn) up to n=25. Its convergence behavior is found first to yield a set of asymptotic representations for all the flow variables, each and every becoming highest in accuracy at O(ε17). For n>17, the field variables and wave parameters, e.g., wave amplitude, have their errors continue increasing with n, but, in sharp contrast, all the wave integral properties including the excess mass first undergo finite fluctuations from O(ε17) to O(ε20), then all converge uniformly beyond O(ε20) in a group of tight bundle within the range 0<ε<0.283, with ε=0.283 corresponding to the highest solitary wave with a 120° vertex angle. This remarkable behavior of series convergence seems to have no precedent, and furthermore, is unique in ε, not shared by the exact solutions based on all other parameters examined here.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physics Letters A - Volume 350, Issues 1â2, 30 January 2006, Pages 44-50
Journal: Physics Letters A - Volume 350, Issues 1â2, 30 January 2006, Pages 44-50
نویسندگان
Xinlong Wang, Theodore Yaotsu Wu,