Liouville Correspondence Between the Short-Pulse Hierarchy and the Sine-Gordon Hierarchy
Liouville Correspondence Between the Short-Pulse Hierarchy and the Sine-Gordon Hierarchy
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DOI：
10.1515/zna-2016-0282
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发表时间：
2016-01
期刊：
影响因子：
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通讯作者：
Jing Kang;Xiaochuan Liu;C. Qu
中科院分区：
文献类型：
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作者：
Jing Kang;Xiaochuan Liu;C. Qu
摘要研究了短脉冲可积族与sine-Gordon可积族之间的Liouville对应。它示出的变换与sine-Gordon方程的短脉冲方程也建立了相应的层次中的流量和哈密顿守恒律之间的对应关系。这提出了一种替代的方法来推导的哈密顿守恒定律的短脉冲方程从经典的sine-Gordon方程的已知的。
Abstract The Liouville correspondence between the short-pulse integrable hierarchy and the sine-Gordon integrable hierarchy is studied. It is shown that the transformation relating the short-pulse equation with the sine-Gordon equation also establishes the correspondence between their flows and Hamiltonian conservation laws in respective hierarchy. This proposes an alternative approach to derive the Hamiltonian conservation laws of the short-pulse equation from the known ones of the classical sine-Gordon equation.