کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4616439 | 1339349 | 2014 | 17 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Stability of solitary waves for the vector nonlinear Schrödinger equation in higher-order Sobolev spaces
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this manuscript, a sharp form of orbital stability for the Schrödinger system, also known as the vector NLS, i∂∂tuj+∂2∂xxuj+2∑i=1m|ui|2uj=0, where ujuj are complex-valued functions of (x,t)∈R2(x,t)∈R2, j=1,2,…,mj=1,2,…,m, is established in L2L2-based Sobolev classes of arbitrarily high order. The result means practically that not only does the bulk of what emanates from the perturbed solitary wave stay close in shape and propagation and phase speeds to the original solitary wave, but emerging residual oscillations must also be very small and not only in the energy norm.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 409, Issue 2, 15 January 2014, Pages 946–962
Journal: Journal of Mathematical Analysis and Applications - Volume 409, Issue 2, 15 January 2014, Pages 946–962
نویسندگان
Nghiem V. Nguyen,