Discrete 2N-wave interaction

Discrete 2N-wave interaction
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离散 2N 波相互作用

DOI:
10.1016/0378-4754(94)00025-5
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发表时间:
1994
影响因子:
4.6
通讯作者:
Y. Ohta
Y. Ohta
中科院分区:
数学3区
文献类型:
--
作者:
R. Hirota;Tatsuya Imai;S. Tsujimoto;Y. Ohta

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本文给出了描述2N波相互作用的非线性偏微分方程组(9 n = 1,2,…N,U o= u N+ 1= 0)Δ+ x un(x,y)= un(x+ δ,y)<$n(x,y+ ε)− un(x,y)<$n+ 1(x,y),Δ+ y un(x,y)=<$n(x,y+ ε)un − 1(x+ δ,y)− <$n(x,y)un(x,y),是在保持系统可积性的情况下得到的。
A difference scheme of a system of nonlinear partial differential equations describing 2N-wave interaction (9n= 1, 2,.... N, U o= u N+ 1= 0) Δ+ x u n (x, y)= u n (x+ δ, y) υ n (x, y+ ε)− u n (x, y) υ n+ 1 (x, y), Δ+ y u n (x, y)= υ n (x, y+ ϵ) u n− 1 (x+ δ, y)− υ n (x, y) u n (x, y), is obtained preserving an integrability of the system.