ON THE GEOMETRY OF ELLIPTIC SOLITONS

被引：25

作者：

ENOLSKII, VZ

KOSTOV, NA

机构：

[1] KIEV MET PHYS INST,DEPT THEORET PHYS,KIEV 252142,UKRAINE

[2] BULGARIAN ACAD SCI,INST ELECTR,BU-1784 SOFIA,BULGARIA

来源：

ACTA APPLICANDAE MATHEMATICAE | 1994年 / 36卷 / 1-2期

关键词：

ELLIPTIC SOLITONS; COVERINGS OF TORI; COMPLETELY INTEGRABLE DYNAMICAL SYSTEMS;

D O I：

10.1007/BF01001543

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study special algebraic curves being a covering over tori and associated with elliptic solitons. To describe the cover, we use an ansatz for the elliptic Baker-Akhiezer functions which accentuates the work of Hermite. We give a description of the elliptic solitons yielded by two-gap Lame and Treibich-Verdier potentials; we also consider three and four-gap Lame potentials and the Halphen equation with n = 4. Examples of elliptic solutions for integrable dynamical systems are constructed against the background of the developed approach.

引用

页码：57 / 86

页数：30

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