相同模式内弧立波的强斜相互作用<sup>*</sup>

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相同模式内弧立波的强斜相互作用^*

基金项目: *国家教委基金;上海市教委科技发展基金

Shanghai University, Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, P. R. China

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．
- 孤立波 /
- 强相互作用 /
- 分层流体 /
- 三维问题
Abstract: In this paper,by using the Lagrangian coordinates,the strongly oblique interactions between solitary waves with Ihe 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.
- solitary waves /
- strong interaction /
- stratified fluids /
- 3D problem

[1]	N.J.Zabusky and M.D.Kruskal,Interaction of "soliton" in a collisionless plasma andthe recurrence of initial states,Phys.Rev.Lett.,15(1965),240-243.
[2]	J.W.Miles,Obliquely interacting solitary waves,J.Fluid Mech.,79(1977),157-169.
[3]	J.W.Miles,Resonantly interacting solitary waves,J Fluid Mech.,79(1977),171-179.
[4]	R.Grimshaw and Y.Zhu,Oblique interactions of internal solitary waves,Sludies inApplied Mathematics,92(1994),249-270.
[5]	M.J.Ablowitz and H.Segur,Solitons and the Inverse Scattering Transform,SIAM Publishing,Philadelphia(1981).
[6]	M.J.Ablowitz and H.Segur,Long internal waves in f1uids of great depth,Studics inApplied Mathematics,62(1980),249-262.

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