Orbital stability of solitary waves for a shallow water equation

被引:163
|
作者
Constantin, A
Molinet, L
机构
[1] Lund Univ, Dept Math, S-22100 Lund, Sweden
[2] Univ Paris 13, Dept Math, Inst Galilee, F-93430 Villetaneuse, France
来源
PHYSICA D | 2001年 / 157卷 / 1-2期
关键词
orbital stability; solitary waves; shal ow water equation; variational methods; minimization problem;
D O I
10.1016/S0167-2789(01)00298-6
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We prove the orbital stability of the solitary waves for a shallow water equation by means of variational methods, considering a minimization problem with an appropriate constraint. (C) 2001 Published by Elsevier Science B.V.
引用
收藏
页码:75 / 89
页数:15
相关论文
共 50 条
  • [1] Orbital stability of solitary waves of moderate amplitude in shallow water
    Mutlubas, N. Duruk
    Geyer, A.
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2013, 255 (02) : 254 - 263
  • [2] Orbital stability of solitary waves for Kundu equation
    Zhang, Weiguo
    Qin, Yinghao
    Zhao, Yan
    Guo, Boling
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2009, 247 (05) : 1591 - 1615
  • [3] Stability of Solitary Waves for a Generalized Higher-Order Shallow Water Equation
    Dundar, Nurhan
    Polat, Necat
    FILOMAT, 2014, 28 (05) : 1007 - 1017
  • [4] Interactions and stability of solitary waves in shallow water
    Tzirtzilakis, E
    Xenos, M
    Marinakis, V
    Bountis, TC
    CHAOS SOLITONS & FRACTALS, 2002, 14 (01) : 87 - 95
  • [5] STABILITY OF SOLITARY WAVES IN SHALLOW-WATER
    BERRYMAN, JG
    PHYSICS OF FLUIDS, 1976, 19 (06) : 771 - 777
  • [6] Orbital Stability of Smooth Solitary Waves for the Novikov Equation
    Ehrman, Brett
    Johnson, Mathew A.
    Lafortune, Stephane
    JOURNAL OF NONLINEAR SCIENCE, 2024, 34 (06)
  • [7] Orbital stability of solitary waves for the compound KdV equation
    Zhang, Weiguo
    Shi, Gaolong
    Qin, Yinghao
    Wei, Gongming
    Guo, Boling
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2011, 12 (03) : 1627 - 1639
  • [8] STABILITY OF SOLITARY WAVES IN SHALLOW-WATER - REPLY
    BERRYMAN, JG
    PHYSICS OF FLUIDS, 1979, 22 (08) : 1588 - 1589
  • [9] STABILITY OF SOLITARY WAVES IN SHALLOW-WATER - COMMENTS
    VANDOOREN, R
    PHYSICS OF FLUIDS, 1979, 22 (08) : 1586 - 1588