GENERALIZED MARCHENKO EQUATION AND THE CANONICAL STRUCTURE OF THE AKNS-ZS INVERSE METHOD

被引：31

作者：

DODD, RK ^{[1
]}

BULLOUGH, RK ^{[1
]}

机构：

[1] UNIV MANCHESTER,INST SCI & TECHNOL,DEPT MATH,MANCHESTER M60 1QD,LANCASHIRE,ENGLAND

来源：

PHYSICA SCRIPTA | 1979年 / 20卷 / 3-4期

关键词：

D O I：

10.1088/0031-8949/20/3-4/031

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We derive a generalised Marchenko equation for a 2 ⨯ 2 matrix inverse method and use it to show that, for the subset of equations solvable by the method which can be construed as defining the flows of Hamiltonians, the inverse transform is a canonical (homogenous contact) transformation. We re-examine Bäcklund transformations from this point of view. © 1979 IOP Publishing Ltd.

引用

页码：514 / 530

页数：17

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