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A super soliton connection

✍ Scribed by M. Gürses; Ö. Oğuz

Book ID
104757992
Publisher
Springer
Year
1986
Tongue
English
Weight
434 KB
Volume
11
Category
Article
ISSN
0377-9017

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✦ Synopsis

Integrable super nonlinear classical partial differential equations are considered. A super sl(2, R) algebra-valued connection 1-form is constructed. It is shown that the curvature 2-form of this super connection vanishes by virtue of the integrable super equations of motion. A super extension of the Ablowitz-Kaub-Newell-Segur scheme is presented and a class of super extensions of the Lax hieararchy and super nonlinear SchrSdinger equation are found. The O(N) extension and B[lcklund transformations of the above super equations are also considered.

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