A NUMERICAL APPROACH TO BLOW-UP ISSUES FOR DAVEY-STEWARTSON II SYSTEMS

被引：9
|
作者：
Klein, Christian [1 ]
Saut, Jean-Claude [2 ,3 ]
机构：
[1] Univ Bourgogne, UMR 5584, Inst Math Bourgogne, F-21078 Dijon, France
[2] Univ Paris 11, Lab Math, UMR 8628, F-91405 Orsay, France
[3] CNRS, F-91405 Orsay, France
来源：
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2015年 / 14卷 / 04期
关键词：
Davey-Stewartson equations; blow-up; long time behavior numerical approaches; INVERSE SCATTERING TRANSFORM; TRANSVERSE NONLINEAR INSTABILITY; STANDING WAVES; LOCAL EXISTENCE; TIME; PACKETS; EQUATIONS; NLS;
D O I：
10.3934/cpaa.2015.14.1443
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We provide a numerical study of various issues pertaining to the dynamics of the Davey-Stewartson II systems. In particular we investigate whether or not the properties (blow-up, radiation, ...) displayed by the focusing and defocusing Davey-Stewartson II integrable systems persist in the non integrable cases.
引用
收藏
页码：1443 / 1467
页数：25
相关论文
共 50 条
  • [21] Dynamics of rogue waves in the Davey-Stewartson II equation
    Ohta, Yasuhiro
    Yang, Jianke
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2013, 46 (10)
  • [22] CAUCHY PROBLEM FOR THE GENERALIZED DAVEY-STEWARTSON SYSTEMS IN BESOV SPACES AND SOME COUNTEREXAMPLES
    Song, Wenjing
    Yang, Ganshan
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2020, 10 (06): : 2418 - 2438
  • [23] The periodic N breather anomalous wave solution of the Davey-Stewartson equations; first appearance, recurrence, and blow up properties
    Coppini, F.
    Grinevich, P. G.
    Santini, P. M.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2024, 57 (01)
  • [24] LARGE | k| BEHAVIOR FOR THE REFLECTION COEFFICIENT FOR DAVEY-STEWARTSON II EQUATIONS
    Klein, Christian
    Sjostrand, Johannes
    Stoilov, Nikola
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2023, 55 (05) : 4912 - 4937
  • [25] Low-Regularity Integrator for the Davey-Stewartson II System
    Ning, Cui
    Kou, Xiaomin
    Wang, Yaohong
    JOURNAL OF SCIENTIFIC COMPUTING, 2024, 99 (01)
  • [26] Asymptotic dynamics of higher-order lumps in the Davey-Stewartson II equation
    Guo, Lijuan
    Kevrekidis, P. G.
    He, Jingsong
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2022, 55 (47)
  • [27] Numerical study of blow-up to the purely elliptic generalized Davey-Stewarts on system
    Muslu, Gulcin M.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2017, 317 : 331 - 342
  • [28] The Moutard Transformation for the Davey-Stewartson II Equation and Its Geometrical Meaning
    Taimanov, I. A.
    MATHEMATICAL NOTES, 2021, 110 (5-6) : 754 - 766
  • [29] New Solitary-Wave Solutions for Davey-Stewartson II System
    Li, Donglong
    Zhang, Mingjun
    Guo, Yanfeng
    INTERNATIONAL CONFERENCE ON FRONTIERS OF ENERGY, ENVIRONMENTAL MATERIALS AND CIVIL ENGINEERING (FEEMCE 2013), 2013, : 514 - 519
  • [30] Spectral approach to the scattering map for the semi-classical defocusing Davey-Stewartson II equation
    Klein, Christian
    McLaughlin, Ken
    Stoilov, Nikola
    PHYSICA D-NONLINEAR PHENOMENA, 2019, 400
12345