INSTABILITY OF SOLITARY WAVES FOR A GENERALIZED DERIVATIVE NONLINEAR SCHRODINGER EQUATION IN A BORDERLINE CASE

被引：9
|
作者：
Fukaya, Noriyoshi [1 ]
机构：
[1] Tokyo Univ Sci, Grad Sch Sci, Dept Math, 1-3 Kagurazaka, Tokyo 1628601, Japan
来源：
KODAI MATHEMATICAL JOURNAL | 2017年 / 40卷 / 03期
关键词：
Solitary wave; Orbital instability; DNLS; STANDING WAVES; STABILITY THEORY; MAGNETIC-FIELD; ALFVEN WAVES; BOUND-STATES; ENERGY; BIFURCATION; EXISTENCE; SYMMETRY;
D O I：
10.2996/kmj/1509415227
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the orbital instability of solitary waves for a derivative nonlinear Schrodinger equation with a general nonlinearity. We treat a borderline case between stability and instability, which is left as an open problem by Liu, Simpson and Sulem (2013). We give a sufficient condition for instability of a two-parameter family of solitary waves in a degenerate case by extending the results of Ohta (2011), and verify this condition for some cases.
引用
收藏
页码：450 / 467
页数：18
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