SOME TRAVELING WAVE SOLITONS OF THE GREEN-NAGHDI SYSTEM

被引：6
|
作者：
Deng, Shengfu [1 ]
Guo, Boling [1 ]
Wang, Tingchun [1 ]
机构：
[1] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2011年 / 21卷 / 02期
关键词：
Green-Naghdi system; smooth soliton wave solution; cusp soliton wave solution; smooth periodic wave solution; periodic cusp wave solution; WATER-WAVES; EQUATIONS;
D O I：
10.1142/S0218127411028623
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The traveling wave solutions for an equivalent system of the Green-Naghdi system are considered. The qualitative analysis methods of planar autonomous systems yield their phase portraits. The exact expressions of smooth soliton wave solutions, cusp soliton wave solutions, smooth periodic wave solutions and periodic cusp wave solutions are obtained. Some numerical simulations of these solutions are also given. These reveal some new properties of the Green-Naghdi system.
引用
收藏
页码：575 / 585
页数：11
相关论文
共 50 条
  • [41] DISCRETE TRANSPARENT BOUNDARY CONDITIONS FOR THE LINEARIZED GREEN-NAGHDI SYSTEM OF EQUATIONS
    Kazakova, Maria
    Noble, Pascal
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 2020, 58 (01) : 657 - 683
  • [42] An Explicit Solution with Correctors for the Green-Naghdi Equations
    Israwi, Samer
    Mourad, Ayman
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2014, 11 (02) : 519 - 532
  • [43] A fast stable accurate artificial boundary condition for the linearized Green-Naghdi system
    Pang, Gang
    Ji, Songsong
    NUMERICAL ALGORITHMS, 2022, 90 (04) : 1437 - 1463
  • [44] A theory of thermoelasticity with diffusion under Green-Naghdi models
    Aouadi, Moncef
    Lazzari, Barbara
    Nibbi, Roberta
    ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2014, 94 (10): : 837 - 852
  • [45] A fast stable accurate artificial boundary condition for the linearized Green-Naghdi system
    Gang Pang
    Songsong Ji
    Numerical Algorithms, 2022, 90 : 1437 - 1463
  • [46] Invariant and partially invariant solutions of the Green-Naghdi equations
    Bagderina Yu.Yu.
    Chupakhin A.P.
    Journal of Applied Mechanics and Technical Physics, 2005, 46 (6) : 791 - 799
  • [47] A Revised Exposition of the Green-Naghdi Theory of Heat Propagation
    Bargmann, Swantje
    Favata, Antonino
    Podio-Guidugli, Paolo
    JOURNAL OF ELASTICITY, 2014, 114 (02) : 143 - 154
  • [48] Thermoelasticity solution of a layer using the Green-Naghdi model
    Taheri, H
    Fariborz, S
    Eslami, MR
    JOURNAL OF THERMAL STRESSES, 2004, 27 (09) : 795 - 809
  • [49] On the phase- lag Green-Naghdi thermoelasticity theories
    El-Karamany, Ahmed S.
    Ezzat, Magdy A.
    APPLIED MATHEMATICAL MODELLING, 2016, 40 (9-10) : 5643 - 5659
  • [50] Short waves in the Green-Naghdi system and others fluid dynamics model equations
    Manna, MA
    FIFTH INTERNATIONAL CONFERENCE ON MATHEMATICAL AND NUMERICAL ASPECTS OF WAVE PROPAGATION, 2000, : 344 - 349
12345