The supersymmetric soliton correlation matrix

✍ Scribed by J. Harnad; M. Jacques

• Book ID: 103906681
• Publisher: Elsevier Science
• Year: 1985
• Tongue: English
• Weight: 616 KB
• Volume: 2
• Category: Article
• ISSN: 0393-0440
• DOI: 10.1016/0393-0440(85)90015-4

✦ Synopsis

Supersymmetric systems in (2/2) dimensions integrable by the supersymmetric generalization of the Zakharov-Shabat (dressing) method are studied. The supersymmetric version of the (soliton correlation matrix, is used to obtain multi--soliton solutions to generic supersymmetric systems of Zakharov-Mikhailov--Shabat type, together with their reductions under finite automorphism groups. The sypersymmetric S 2 sigma model is worked out as an explicit application of the method.

1. Introduction

In a recent work [1], multi-soliton solutions to two dimensional integrable systems were studied through a new approach based upon the <>. This approach begins with the <> of Zakharov, Mikhailov and Shabat [2, 31 (henceforth, ZMS), but brings out new geometrical structure relating to the linearization of multi-Bdcklund transformations and (\*) Address after Sept. 1, 1985