Travelling waves for two coupled Korteweg-de Vries equations

被引：0
|
作者：
Barrera, F. P. [1 ]
Brugarino, T. [1 ]
机构：
[1] Univ Palermo, Fac Ingn, Dip Ingn Trasporti, I-90128 Palermo, Italy
来源：
ADVANCES IN FLUID MECHANICS VII | 2008年 / 59卷
关键词：
non linear equations; exact solutions; KdV equations;
D O I：
10.2495/AFM080471
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
The aim of this paper is to apply the auxiliary equation method to obtain solutions of the system of two coupled Korteweg-de Vries equations which have many applications in the study of two-wave modes in stratified liquid. As an auxiliary equation we consider a reducible hyperelliptic equation.
引用
收藏
页码：477 / 480
页数：4
相关论文
共 50 条
  • [1] ON THE CONTROLLABILITY OF A COUPLED SYSTEM OF TWO KORTEWEG-DE VRIES EQUATIONS
    Micu, Sorin
    Ortega, Jaime H.
    Pazoto, Ademir F.
    [J]. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2009, 11 (05) : 799 - 827
  • [2] Dynamics of solitary-waves in the coupled Korteweg-De Vries equations
    Hong, WP
    Kim, JJ
    [J]. ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2005, 60 (8-9): : 557 - 565
  • [3] The coupled modified Korteweg-de Vries equations
    Tsuchida, T
    Wadati, M
    [J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1998, 67 (04) : 1175 - 1187
  • [4] The functional variable method for solving the fractional Korteweg-de Vries equations and the coupled Korteweg-de Vries equations
    Matinfar, M.
    Eslami, M.
    Kordy, M.
    [J]. PRAMANA-JOURNAL OF PHYSICS, 2015, 85 (04): : 583 - 592
  • [5] Existence of travelling-wave solutions to a coupled system of Korteweg-de Vries equations
    Bhattarai, Santosh
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2015, 127 : 182 - 195
  • [6] Solitary waves in coupled Korteweg-de Vries systems
    Grimshaw, R
    [J]. PROCEEDINGS OF THE 4TH INTERNATIONAL CONFERENCE ON NONLINEAR MECHANICS, 2002, : 1012 - 1015
  • [7] Solitary waves of a coupled Korteweg-de Vries system
    Grimshaw, R
    Iooss, G
    [J]. MATHEMATICS AND COMPUTERS IN SIMULATION, 2003, 62 (1-2) : 31 - 40
  • [8] On the Dynamical Behavior of Solitary Waves for Coupled Stochastic Korteweg-De Vries Equations
    Mohammed, Wael W.
    Al-Askar, Farah M.
    Cesarano, Clemente
    [J]. MATHEMATICS, 2023, 11 (16)
  • [9] Canonical structure of the coupled Korteweg-de Vries equations
    Talukdar, B
    Ghosh, S
    Shamanna, J
    [J]. CANADIAN JOURNAL OF PHYSICS, 2004, 82 (06) : 459 - 466
  • [10] On solitary-wave solutions for the coupled Korteweg-de Vries and modified Korteweg-de Vries equations and their dynamics
    Hong, WP
    [J]. ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2006, 61 (3-4): : 125 - 132
12345