کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4665140 | 1633797 | 2016 | 31 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On the rotation-two-component Camassa–Holm system modelling the equatorial water waves
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this paper, a modified two-component Camassa–Holm system with the effect of the Coriolis force in the rotating fluid is derived, which is a model in the equatorial water waves. The effects of the Coriolis force caused by the Earth's rotation and nonlocal nonlinearities on blow-up criteria and wave-breaking phenomena are then investigated. Our refined analysis relies on the method of characteristics and conserved quantities and is proceeded with the Riccati-type differential inequality. Finally, conditions which guarantee the permanent waves are obtained by using a method of the Lyapunov function.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 291, 19 March 2016, Pages 59–89
Journal: Advances in Mathematics - Volume 291, 19 March 2016, Pages 59–89
نویسندگان
Lili Fan, Hongjun Gao, Yue Liu,