کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5774841 1631562 2017 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the curvature blow-up phenomena for the Fokas-Qiao-Xia-Li equation
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
On the curvature blow-up phenomena for the Fokas-Qiao-Xia-Li equation
چکیده انگلیسی
We study the blow-up phenomena of the strong solutions for the Fokas-Qiao-Xia-Li (FQXL) equation with quadratic and cubic nonlinearities, which include the celebrated Camassa-Holm equation and the Fokas-Olver-Rosenau-Qiao (FORQ) equation as its special case. The FQXL equation models the unidirectional propagation of the shallow water waves over a flat bottom and describes the physics more accurately than its celebrated counterpart, the Gardner equation. Two kinds of conditions on the initial data, including cases where the initial momentum density is not of one sign, are formulated to guarantee finite time blow-up for the strong solutions for this equation. The first condition relies on the sign persistence property of the momentum density m. The second condition is based on the full use of the conservation laws of the equation, especially the conservation quantity H2[u0].
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 450, Issue 2, 15 June 2017, Pages 1275-1293
نویسندگان
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