STABILITY FOR THE KORTEWEG-DE VRIES EQUATION BY INVERSE SCATTERING-THEORY

被引:10
作者
SCHARF, G [1 ]
WRESZINSKI, WF [1 ]
机构
[1] UNIV SAO PAULO, INST FIS, SAO PAULO, BRAZIL
关键词
D O I
10.1016/0003-4916(81)90004-X
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
引用
收藏
页码:56 / 75
页数:20
相关论文
共 50 条
[31]   THE KORTEWEG-DE VRIES EQUATION AND BEYOND [J].
FOKAS, AS .
ACTA APPLICANDAE MATHEMATICAE, 1995, 39 (1-3) :295-305
[32]   Cosmology and the Korteweg-de Vries equation [J].
Lidsey, James E. .
PHYSICAL REVIEW D, 2012, 86 (12)
[33]   GENERALIZATIONS OF THE KORTEWEG-DE VRIES EQUATION [J].
SAUT, JC .
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 1979, 58 (01) :21-61
[34]   MODIFIED KORTEWEG-DE VRIES EQUATION [J].
ONO, H .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1974, 37 (03) :882-882
[35]   ON THE (GENERALIZED) KORTEWEG-DE VRIES EQUATION [J].
KENIG, CE ;
PONCE, G ;
VEGA, L .
DUKE MATHEMATICAL JOURNAL, 1989, 59 (03) :585-610
[36]   The Korteweg-de Vries equation on an interval [J].
Himonas, A. Alexandrou ;
Mantzavinos, Dionyssios ;
Yan, Fangchi .
JOURNAL OF MATHEMATICAL PHYSICS, 2019, 60 (05)
[37]   Inverse scattering transform for the coupled modified Korteweg-de Vries equation with nonzero boundary conditions [J].
Xiao, Yu ;
Fan, Engui ;
Liu, Pan .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 504 (02)
[38]   The orbital stability of the cnoidal waves of the Korteweg-de Vries equation [J].
Deconinck, Bernard ;
Kapitula, Todd .
PHYSICS LETTERS A, 2010, 374 (39) :4018-4022
[39]   On numerical inverse scattering for the Korteweg-de Vries equation with discontinuous step-like data [J].
Bilman, Deniz ;
Trogdon, Thomas .
NONLINEARITY, 2020, 33 (05) :2211-2269
[40]   Inverse Optimal Control of Korteweg-de Vries-Burgers Equation [J].
Cai, Xiushan ;
Lin, Yuhang ;
Zhan, Xisheng ;
Wan, Liguang ;
Liu, Leibo ;
Lin, Cong .
IFAC PAPERSONLINE, 2023, 56 (02) :1351-1356