STABILITY OF NEGATIVE SOLITARY WAVES

被引：0
|
作者：
Kalisch, Henrik [1 ]
Nguyet Thanh Nguyen [1 ]
机构：
[1] Univ Bergen, Dept Math, N-5008 Bergen, Norway
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2009年
关键词：
Solitary waves; orbital stability; instability; MODEL-EQUATIONS; INSTABILITY;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The generalized regularized long-wave equation admits a family of negative solitary waves. We show that there is a critical wave speed dividing the range of stable and unstable negative solitary waves. Our proofs of stability and instability are based on a variant of the general theory by Grillakis, Shatah and Strauss.
引用
收藏
页数：20
相关论文
共 50 条
  • [1] Orbital stability of negative solitary waves
    Nguyen, Nguyet Thanh
    Kalisch, Henrik
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2009, 80 (01) : 139 - 150
  • [2] THE STABILITY OF SOLITARY WAVES
    TANAKA, M
    PHYSICS OF FLUIDS, 1986, 29 (03) : 650 - 655
  • [3] Stability of solitary waves
    Kenyon, KE
    PHYSICS ESSAYS, 2001, 14 (03) : 266 - 269
  • [4] STABILITY OF SOLITARY WAVES
    BENJAMIN, TB
    PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1972, 328 (1573) : 153 - +
  • [5] Stability of negative solitary waves for an integrable modified Camassa-Holm equation
    Yin, Jiuli
    Tian, Lixin
    Fan, Xinghua
    JOURNAL OF MATHEMATICAL PHYSICS, 2010, 51 (05)
  • [6] STABILITY OF INTERNAL SOLITARY WAVES
    STANSFIELD, SE
    BROWN, RW
    BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, 1981, 26 (04): : 588 - 588
  • [7] ON ASYMPTOTIC STABILITY OF SOLITARY WAVES
    PEGO, RL
    WEINSTEIN, MI
    PHYSICS LETTERS A, 1992, 162 (03) : 263 - 268
  • [8] STABILITY OF VECTOR SOLITARY WAVES
    CHEN, YJ
    PHYSICAL REVIEW A, 1994, 50 (06): : 5205 - 5208
  • [9] THE STABILITY OF INTERNAL SOLITARY WAVES
    BENNETT, DP
    BROWN, RW
    STANSFIELD, SE
    STROUGHAIR, JD
    BONA, JL
    MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1983, 94 (SEP) : 351 - 379
  • [10] STABILITY THEORY OF SOLITARY WAVES
    BONA, J
    PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1975, 344 (1638): : 363 - 374
12345