On a 2+1‐Dimensional Whitham–Broer–Kaup System: A Resonant NLS Connection
On a 2+1‐Dimensional Whitham–Broer–Kaup System: A Resonant NLS Connection
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2+1 维 Whitham-Broer-Kaup 系统：共振 NLS 连接
DOI：
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
O. Pashaev
中科院分区：
文献类型：
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作者：
C. Rogers;O. Pashaev
建立了Whitham-Broer-Kaup浅水系统与“共振”非线性薛定谔方程的等价性。构造了一个对称可积的2+1维版本的Whitham-Broer-Kaup系统，它又等价于最近引入的包含Madelung-Bohm型量子势的共振Davey-Stewartson I系统。采用双线性表示，并展示了这个新的2+1维Kaup-Broer系统中的共振孤子相互作用。
It is established that the Whitham–Broer–Kaup shallow water system and the “resonant” nonlinear Schrödinger equation are equivalent. A symmetric integrable 2+1‐dimensional version of the Whitham–Broer–Kaup system is constructed which, in turn, is equivalent to a recently introduced resonant Davey–Stewartson I system incorporating a Madelung–Bohm type quantum potential. A bilinear representation is adopted and resonant solitonic interaction in this new 2+1‐dimensional Kaup–Broer system is exhibited.