کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4610283 | 1338554 | 2013 | 34 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On the Cauchy problem for the integrable modified Camassa–Holm equation with cubic nonlinearity
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Considered in this paper is the modified Camassa–Holm equation with cubic nonlinearity, which is integrable and admits the single peaked solitons and multi-peakon solutions. The short-wave limit of this equation is known as the short-pulse equation. The main investigation is the Cauchy problem of the modified Camassa–Holm equation with qualitative properties of its solutions. It is firstly shown that the equation is locally well-posed in a range of the Besov spaces. The blow-up scenario and the lower bound of the maximal time of existence are then determined. A blow-up mechanism for solutions with certain initial profiles is described in detail and nonexistence of the smooth traveling wave solutions is also demonstrated.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 255, Issue 7, 1 October 2013, Pages 1905–1938
Journal: Journal of Differential Equations - Volume 255, Issue 7, 1 October 2013, Pages 1905–1938
نویسندگان
Ying Fu, Guilong Gui, Yue Liu, Changzheng Qu,