FINITE-GAP ELLIPTIC SOLUTIONS OF THE KDV EQUATION

被引：45

作者：

SMIRNOV, AO ^{[1
]}

机构：

[1] ST PETERSBURG AIRCRAFT INSTRUMENTAT INST,DEPT MATH,ST PETERSBURG 190000,RUSSIA

来源：

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

关键词：

KORTEWEG-DEVRIES EQUATION; SOLITON; THETA-FUNCTION; INTEGRABLE NONLINEAR EQUATION; RIEMANN SURFACE; COVERING;

D O I：

10.1007/BF01001546

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A method is proposed for constructing finite-gap elliptic in x or/and in t solutions of the Korteweg-de Vries equation. Dynamics of poles for two-gap elliptic solutions of the KdV equation are considered. Numerous examples of new elliptic solutions of the KdV equation are given.

引用

页码：125 / 166

页数：42

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