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
来源：
ANNALS OF PHYSICS | 1981年 / 134卷 / 01期
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
  • [1] SCATTERING-THEORY FOR THE KORTEWEG-DE VRIES (KDV) EQUATION AND ITS HAMILTONIAN INTERPRETATION
    BUSLAEV, VS
    FADDEEV, LD
    TAKHTAJAN, LA
    PHYSICA D-NONLINEAR PHENOMENA, 1986, 18 (1-3) : 255 - 266
  • [2] INVERSE SCATTERING TRANSFORM FOR A SUPERSYMMETRIC KORTEWEG-DE VRIES EQUATION
    Zhang, Sheng
    You, Caihong
    THERMAL SCIENCE, 2019, 23 : S677 - S684
  • [3] Inverse Scattering and Loaded Modified Korteweg-de Vries Equation
    Feckan, Michal
    Urazboev, Gayrat
    Baltaeva, Iroda
    JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS, 2022, 15 (02): : 174 - 183
  • [4] Numerical inverse scattering for the Korteweg-de Vries and modified Korteweg-de Vries equations
    Trogdon, Thomas
    Olver, Sheehan
    Deconinck, Bernard
    PHYSICA D-NONLINEAR PHENOMENA, 2012, 241 (11) : 1003 - 1025
  • [5] STABILITY FOR KORTEWEG-DE VRIES EQUATION
    MCKEAN, HP
    COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1977, 30 (03) : 347 - 353
  • [6] Realization of the inverse scattering transform method for the Korteweg-de Vries equation
    Grudsky, Sergei M.
    Kravchenko, Vladislav V.
    Torba, Sergii M.
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (08) : 9217 - 9251
  • [7] An alternative form of inverse scattering transform for the Korteweg-de Vries equation
    Wu, KX
    Chen, SR
    CHINESE PHYSICS LETTERS, 1998, 15 (09): : 654 - 656
  • [8] AUTOMATIC ALGORITHM FOR THE NUMERICAL INVERSE SCATTERING TRANSFORM OF THE KORTEWEG-DE VRIES EQUATION
    OSBORNE, AR
    MATHEMATICS AND COMPUTERS IN SIMULATION, 1994, 37 (4-5) : 431 - 450
  • [9] Integration of the negative order Korteweg-de Vries equation by the inverse scattering method
    Urazboev, G. U.
    Baltaeva, I. I.
    Ismoilov, O. B.
    VESTNIK UDMURTSKOGO UNIVERSITETA-MATEMATIKA MEKHANIKA KOMPYUTERNYE NAUKI, 2023, 33 (03): : 523 - 533
  • [10] A nonlinear inverse problem of the Korteweg-de Vries equation
    Lu, Shengqi
    Chen, Miaochao
    Liu, Qilin
    BULLETIN OF MATHEMATICAL SCIENCES, 2019, 9 (03)
12345