NOTE ON THE TWO-COMPONENT ANALOGUE OF TWO-DIMENSIONAL LONG WAVE - SHORT WAVE RESONANCE INTERACTION SYSTEM

被引:5
作者
Maruno, Ken-ichi [1 ]
Ohta, Yasuhiro [2 ]
Oikawa, Masayuki [3 ]
机构
[1] Univ Texas Pan Amer, Dept Math, Edinburg, TX 78541 USA
[2] Kobe Univ, Dept Math, Kobe, Hyogo 6578501, Japan
[3] Kyushu Univ, Res Inst Appl Mech, Fukuoka 8168580, Japan
关键词
DAVEY-STEWARTSON EQUATION; SOLITONS;
D O I
10.1017/S0017089508004849
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
An integrable two-component analogue of the two-dimensional long wave - short wave resonance interaction (2c-2d-LSRI) system is studied. Wroliskian solutions of 2c-2d-LSRI system are presented. A reduced case, which describes resonant interaction between an interfacial wave and two surface wave packets a two-layer fluid, is also discussed.
引用
收藏
页码:129 / 135
页数:7
相关论文
共 14 条
[1]  
Ablowitz M.J., 2004, LONDON MATH SOC LECT
[2]   Soliton interactions in the vector NLS equation [J].
Ablowitz, MJ ;
Prinari, B ;
Trubatch, AD .
INVERSE PROBLEMS, 2004, 20 (04) :1217-1237
[3]   OPERATOR APPROACH TO THE KADOMTSEV-PETVIASHVILI EQUATION - TRANSFORMATION GROUPS FOR SOLITON-EQUATIONS III [J].
DATE, E ;
JIMBO, M ;
KASHIWARA, M ;
MIWA, T .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1981, 50 (11) :3806-3812
[4]  
Date E., 1982, Publ. Res. Inst. Math. Sci., V18, P1077, DOI DOI 10.2977/PRIMS/1195183297
[5]   RESONANT BEHAVIOR IN THE DAVEY-STEWARTSON EQUATION [J].
GILSON, CR .
PHYSICS LETTERS A, 1992, 161 (05) :423-428
[6]   MULTIDROMION SOLUTIONS TO THE DAVEY-STEWARTSON EQUATION [J].
HIETARINTA, J ;
HIROTA, R .
PHYSICS LETTERS A, 1990, 145 (05) :237-244
[7]  
Hirota R., 2004, The Direct Method in Soliton Theory
[8]  
Manakov S. V., 1974, Sov. Phys. JETP, V38, P248
[9]   Two-component analogue of two-dimensional long wave-short wave resonance interaction equations: a derivation and solutions [J].
Ohta, Yasuhiro ;
Maruno, Ken-ichi ;
Oikawa, Masayuki .
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2007, 40 (27) :7659-7672
[10]   2-DIMENSIONAL RESONANT INTERACTION BETWEEN LONG AND SHORT WAVES [J].
OIKAWA, M ;
OKAMURA, M ;
FUNAKOSHI, M .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1989, 58 (12) :4416-4430