FINITE-GAP SOLUTIONS OF THE DAVEY-STEWARTSON EQUATIONS

被引：13

作者：

MALANYUK, TM

机构：

[1] Department of Physics and Mathematics, Chair of Informatics, Ternopol Pedagogical Institute, Ternopol, 282000

来源：

JOURNAL OF NONLINEAR SCIENCE | 1994年 / 4卷 / 01期

关键词：

DAVEY-STEWARTSON EQUATIONS; FINITE-GAP SOLUTION; ALGEBRAIC CURVE; ANTI-INVOLUTION; THETA-FUNCTION; SOLITON; DROMION;

D O I：

10.1007/BF02430624

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We describe the finite-gap solutions of different modifications of the Davey-Stewartson (DS) equations. The restrictions on the spectral data which give us solutions of the real forms DS1 and DS2+ of DS are the game as those in the case of KP1 and KP2 of the Kadomtsev-Petviashvily equation. But for DS2- the restrictions that we regard have no analogues in other integrable systems. We describe also the restrictions that provide regularity of those solutions for DS1 and DS2+/-. The finite-gap solutions include rational and soliton solutions. We give some classes of those solutions. The well-known dromions for DS1 are examples of that kind.

引用

页码：1 / 21

页数：21

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