A discrete Schrödinger spectral problem and associated evolution equations
A discrete Schrödinger spectral problem and associated evolution equations
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DOI：
10.1088/0305-4470/36/1/309
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发表时间：
2002-06
期刊：
影响因子：
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通讯作者：
M. Boiti;M. Bruschi;F. Pempinelli;B. P. D. D. F. dell'Universita-B.-P.-D.-D.-F.-dell'Universita-1997526398;S. Infn;Lecce;Italy.;Dipartimento di Fisica dell'Universita di RomaLa Sapienza-Dipartimento-di-Fisica-dell'Universita-di-RomaLa-1997533322;Roma
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文献类型：
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作者：
M. Boiti;M. Bruschi;F. Pempinelli;B. P. D. D. F. dell'Universita-B.-P.-D.-D.-F.-dell'Universita-1997526398;S. Infn;Lecce;Italy.;Dipartimento di Fisica dell'Universita di RomaLa Sapienza-Dipartimento-di-Fisica-dell'Universita-di-RomaLa-1997533322;Roma
最近提出的离散版本的薛定谔光谱问题被认为是。推导了与此谱问题相关的微分-差分非线性发展方程的整个族。它示出的KdV，正弦戈登和刘维方程的离散版本包括和所谓的“逆”类的层次结构是本地的。还展示了相关的Darboux和Backlund变换的整个类。
A recently proposed discrete version of the Schrodinger spectral problem is considered. The whole hierarchy of differential-difference nonlinear evolution equations associated with this spectral problem is derived. It is shown that a discrete version of the KdV, sine-Gordon and Liouville equations is included and that the so-called 'inverse' class in the hierarchy is local. The whole class of related Darboux and Backlund transformations is also exhibited.