Soliton resonances for the good Boussinesq equation
Soliton resonances for the good Boussinesq equation
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DOI：
10.1088/0266-5611/3/2/010
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发表时间：
1987-05
期刊：
影响因子：
2.1
通讯作者：
F. Lambert;M. Musette;E. Kesteloot
中科院分区：
文献类型：
--
作者：
F. Lambert;M. Musette;E. Kesteloot
针对良好的 Boussinesq (GB) 方程，讨论了一维空间中的共振多孤子相互作用，涉及共振三元组和任意数量 N 的孤波。结果表明，在正则域边界获得的任何特殊（规则）N-孤子解都描述了存在（N-2）（或（N-3））“旁观者”孤子的情况下的四个基本过程（与时间反转和/或空间反转相关）之一。与二维情况（KP 方程）相反，GB 共振顶点不能包含三个以上的孤立波。
Resonant multisoliton interactions in one space dimension, involving a resonance triad and an arbitrary number N of solitary waves are discussed for the good Boussinesq (GB) equation. It is shown that any of the special (regular) N-soliton solutions, which are obtained at the boundary of the regularity domain, describe one of the four basic processes (related by time reversal and/or space reversal) in the presence of (N-2) (or (N-3)) 'spectator' solitons. In contrast with the two-dimensional case (KP equation), the GB resonant vertices cannot include more than three solitary waves.