کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4617096 | 1339368 | 2013 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The orbital stability of the solitary wave solutions of the generalized Camassa-Holm equation
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: The orbital stability of the solitary wave solutions of the generalized Camassa-Holm equation The orbital stability of the solitary wave solutions of the generalized Camassa-Holm equation](/preview/png/4617096.png)
چکیده انگلیسی
In this paper, we consider the orbital stability of smooth solitary wave solutions of the generalized Camassa-Holm equation. By constructing the functional extremum problem and using the orbital stability theory presented by Grillakis, Shatah, Strauss and Bona, and Souganidis, we show that the solitary wave solutions of the generalized Camassa-Holm equation are orbitally stable or unstable as determined by the sign of a discriminant. The conclusions presented by the previous authors, such as Hakkaev and Kirchev, Constantin and Strauss, can be considered as a special case of our results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 398, Issue 2, 15 February 2013, Pages 776-784
Journal: Journal of Mathematical Analysis and Applications - Volume 398, Issue 2, 15 February 2013, Pages 776-784
نویسندگان
Xiaohua Liu, Weiguo Zhang, Zhengming Li,