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| VOLUME 28 (1978) | ISSUE 8 |
PAGE 554
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Integrability of supersymmetrical generalizations of classical chiral models in two-dimensional space-time
Mikhailov A.V.
Supersymmetrical generators of two-dimensional integrable models of field theory give us examples of interacting fields to which the method of the inverse problem is also applicable. This circumstance was first pointed out by Ferrara et a/.,1 who advanced the hypothesis that the supersymmetrical generalization of the sine-Gordon equation has an infinite sequence of integrals of motion. The proof of this hypothesis is given in recent preprints,2*3 where the "L-A pairs" needed to use the inverse-problem
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![](/ps/1578/article_24216_800_head.png "Supersymmetrical generators of two-dimensional integrable models of field theory give us examples of interacting fields to which the method of the inverse problem is also applicable. This circumstance was first pointed out by Ferrara <i>et </i>a/.,<sup>1</sup> who advanced the hypothesis that the supersymmetrical generalization of the sine-Gordon equation has an infinite sequence of integrals of motion. The proof of this hypothesis is given in recent preprints,<sup>2</sup>*<sup>3</sup> where the <i>"L-A </i>pairs" needed to use the inverse-problem")