Intermediate long-wave equation on a half-line

被引:6
|
作者
Arciga Alejandre, Martin P. [1 ]
Kaikina, Elena I. [2 ]
机构
[1] UMSNH, Inst Fis & Math, Morelia 58089, Michoacan, Mexico
[2] Inst Math, Morelia 58089, Michoacan, Mexico
关键词
Dispersive nonlinear evolution equation; Large time asymptotics; Intermediate long-wave equation; Initial-boundary value problem; Asymptotic behavior; Half-line; Large time; BENJAMIN-ONO-EQUATION; KORTEWEG-DEVRIES EQUATION; DE-VRIES EQUATION; SMOOTHING PROPERTIES; SOBOLEV SPACES; CAUCHY-PROBLEM; ASYMPTOTICS; SCATTERING; FLUIDS;
D O I
10.1007/s00028-011-0109-z
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider the initial-boundary value problem for intermediate long-wave equation on a half-line. We study traditionally important problems of the theory of nonlinear partial differential equations, such as global in time existence of solutions to the initial-boundary value problem and the asymptotic behavior of solutions for large time.
引用
收藏
页码:743 / 770
页数:28
相关论文
共 50 条
  • [1] Intermediate long-wave equation on a half-line
    Martín P. Árciga Alejandre
    Elena I. Kaikina
    [J]. Journal of Evolution Equations, 2011, 11 : 743 - 770
  • [2] ON THE PERIODIC INTERMEDIATE LONG-WAVE EQUATION
    ABLOWITZ, MJ
    FOKAS, AS
    SATSUMA, J
    SEGUR, H
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1982, 15 (03): : 781 - 786
  • [3] On the modified intermediate long-wave equation
    Naumkin, Pavel I.
    Sanchez-Suarez, Isahi
    [J]. NONLINEARITY, 2018, 31 (03) : 980 - 1008
  • [4] The three-wave equation on the half-line
    Xu, Jian
    Fan, Engui
    [J]. PHYSICS LETTERS A, 2014, 378 (1-2) : 26 - 33
  • [5] DIRICHLET PROBLEM FOR INTERMEDIATE LONG-WAVE EQUATION
    Benitez, Felipe
    Kaikina, Elena I.
    [J]. DIFFERENTIAL AND INTEGRAL EQUATIONS, 2011, 24 (11-12) : 1163 - 1192
  • [6] ON THE NUMBER OF SOLITONS FOR THE INTERMEDIATE LONG-WAVE EQUATION
    MINZONI, AA
    MILOH, T
    [J]. WAVE MOTION, 1994, 20 (02) : 131 - 142
  • [7] THE mKdV EQUATION ON THE HALF-LINE
    De Monvel, A. Boutet
    Fokas, A. S.
    Shepelsky, D.
    [J]. JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU, 2004, 3 (02) : 139 - 164
  • [8] A CONVOLUTION EQUATION ON HALF-LINE
    ANG, DD
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1968, 24 (03) : 486 - &
  • [9] SUPERPOSITION OF SOLITONS AND THE MODIFIED INTERMEDIATE LONG-WAVE EQUATION
    CHOW, KW
    [J]. PHYSICS LETTERS A, 1993, 179 (4-5) : 299 - 305
  • [10] PERIODIC INTERMEDIATE LONG-WAVE EQUATION - THE UNDRESSING METHOD
    LEBEDEV, DR
    RADUL, AO
    [J]. THEORETICAL AND MATHEMATICAL PHYSICS, 1987, 70 (02) : 140 - 147