GAUGE TRANSFORMATIONS AND RECIPROCAL LINKS IN 2+1 DIMENSIONS

被引：110
|
作者：
OEVEL, W
ROGERS, C
机构：
来源：
REVIEWS IN MATHEMATICAL PHYSICS | 1993年 / 5卷 / 02期
关键词：
D O I：
10.1142/S0129055X93000073
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Generalized Lax equations are considered in the spirit of Sato theory. Three decompositions of an underlying algebra of pseudo-differential operators lead, in turn, to three different classes of integrable nonlinear hierarchies. These are associated with Kadomtsev-Petviashvili, modified Kadomtsev-Petviashvili and Dym hierarchies in 2 + 1 dimensions. Miura- and auto-Backlund transformations are shown to originate naturally from gauge transformations of the Lax operators. General statements on reciprocal links between these hierarchies are established, which, in particular, give rise to novel reciprocal auto-Backlund transformations for the Dym hierarchy. These links are formulated as Darboux theorems for the associated Lax operators.
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收藏
页码：299 / 330
页数：32
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