Oblique interactions of weakly nonlinear long waves in dispersive systems

被引：17
|
作者：
Oikawa, Masayuki [1 ]
Tsuji, Hidekazu [1 ]
机构：
[1] Kyushu Univ, Appl Mech Res Inst, Fukuoka 8168580, Japan
来源：
FLUID DYNAMICS RESEARCH | 2006年 / 38卷 / 12期
关键词：
solitary waves; soliton; Kadomtsev-Petviashvili equation; oblique interaction; Mach reflection; soliton resonance; nonlinear wave propagation;
D O I：
10.1016/j.fluiddyn.2006.07.002
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
Studies on the oblique interactions of weakly nonlinear long waves in dispersive systems are surveyed. We focus mainly our concentration on the two-dimensional interaction between solitary waves. Two-dimensional Benjamin-Ono (2DBO) equation, modified Kadomtsev-Petviashvili (MKP) equation and extended Kadomtsev-Petviashvili (EKP) equation as well as the Kadomtsev-Petviashvili (KP) equation are treated. It turns out that a large-amplitude wave can be generated due to the oblique interaction of two identical solitary waves in the 2DBO and the MKP equations as well as in the KP-II equation. Recent studies on exact solutions of the KP equation are also surveyed briefly. (c) 2006 The Japan Society of Fluid Mechanics and Elsevier B.V. All rights reserved.
引用
收藏
页码：868 / 898
页数：31
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