摘要
水文讨论分层流体中相同模式向孤立波的强斜相互作用,包括浅流体情形和深流体情形.采用Lazrange描述方法,发现在浅流体情形相互作用由KP方程描述;在深流体情形相互作用由二维的中等长波方程描述:在无限深情形相互作用由二维的BO方程描述.
In this paper, by using the Lagrangian coordinates, the strongly oblique interactions between solitary waves with the same mode in a stratified fluid are discussed, which includes the shallow fluid case and 'deep fluid case. It is found that the interactions are described by the KP equation for the shallow fluid case, the two-dimensional intermediate long wave equation (2D-LW equation )for the deep fluid case and the two-dimensional BO equation (2D-BO equation)for the infinite deep fluid case.
出处
《应用数学和力学》
CSCD
北大核心
1997年第10期893-898,共6页
Applied Mathematics and Mechanics
基金
国家教委基金
上海市教委科技发展基金
关键词
孤立波
强相互作用
分层流体
三维问题
solitary waves, strong interaction, stratified fluids, 3D problem