کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5774317 | 1413556 | 2017 | 19 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Instability of solitary wave solutions for derivative nonlinear Schrödinger equation in endpoint case
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Instability of solitary wave solutions for derivative nonlinear Schrödinger equation in endpoint case Instability of solitary wave solutions for derivative nonlinear Schrödinger equation in endpoint case](/preview/png/5774317.png)
چکیده انگلیسی
We study the stability theory of solitary wave solutions for a type of the derivative nonlinear Schrödinger equationiâtu+âx2u+i|u|2âxu+b|u|4u=0. The equation has a two-parameter family of solitary wave solutions of the formeiÏ0t+iÏ12(xâÏ1t)âi4â«ââxâÏ1t|ÏÏ(η)|2dηÏÏ(xâÏ1t). The stability theory in the frequency region of |Ï1|<2Ï0 was studied previously. In this paper, we prove the instability of the solitary wave solutions in the endpoint case Ï1=2Ï0, in which the elliptic equation of ÏÏ is “zero mass”.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 262, Issue 3, 5 February 2017, Pages 1671-1689
Journal: Journal of Differential Equations - Volume 262, Issue 3, 5 February 2017, Pages 1671-1689
نویسندگان
Cui Ning, Masahito Ohta, Yifei Wu,