Toward a theory of integrable hyperbolic equations of third order
Toward a theory of integrable hyperbolic equations of third order
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三阶可积双曲方程理论
DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
A. Shabat
中科院分区：
文献类型：
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作者：
V. E. Adler;A. Shabat
考虑了两个独立变量的可积三阶双曲型方程的例子。特别是，发现一个方程，承认作为进化对称的Krichever-Novikov方程和修改后的Landau-Lifshitz系统。讨论了双曲型方程动力学变量的选择问题。
Examples are considered of integrable third order hyperbolic equations with two independent variables. In particular, an equation is found which admits as evolutionary symmetries the Krichever–Novikov equation and the modified Landau–Lifshitz system. The problem of the choice of dynamical variables for the hyperbolic equations is discussed.