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

被引：10

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

页码：450 / 467

页数：18

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