Explicit solutions for a semidiscrete Boussinesq system
Explicit solutions for a semidiscrete Boussinesq system
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DOI：
10.1016/j.amc.2014.10.041
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发表时间：
2014-12
期刊：
影响因子：
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通讯作者：
Tong Zhou;Zuo-nong Zhu
中科院分区：
文献类型：
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作者：
Tong Zhou;Zuo-nong Zhu
利用4× 4谱问题的复合流，引入了半离散的Boussinesq系统。构造了半离散Boussinesq系统的Darboux变换和显式解。我们发现系统的1倍达布变换解具有多个行波。特别是在一段时间后，其中一个解变成两个孤立波，这说明半离散可积系统解的性质比连续可积系统解的性质更丰富。
A semidiscrete Boussinesq system has been introduced by the means of recombination flows from a 4× 4 spectral problem. We construct the Darboux transformation and explicit solutions for the semidiscrete Boussinesq system. We can find that the 1-fold Darboux-transformation solution of the system possesses more than one traveling waves. Especially, one of solutions comes into being two solitary waves after a period of time, which means that properties of solutions to semidiscrete integrable systems are richer than the ones in continuous integrable systems.