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arXiv math-ph/0105035math-phmath.MP
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一类新的椭圆型极算子的间隙密度与Harry Dym方程的定态解

A New Class of Elliptic Finite-Gap Densities of the Polar Operator and Stationary Solutions of the Harry Dym equation

L. A. Dmitrieva, D. A. Pyatkin

摘要:

通过改进构造Harry Dym方程有限间隙解的所谓“高时间方法”,构造了一类新的单间隙和双间隙椭圆密度族.构造了稳态解的自贝克隆变换,并研究了其性质.

英文摘要:

A new family of one- and two-gap elliptic densities of the polar operator has been constructed by modifying the so-called "higher time approach" to constructing finite-gap solutions of the Harry Dym equation. Auto-Bäcklund transformations of the obtained stationary solutions have been constructed and their properties have been studied.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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