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Hamiltonian structure of the super evolution equation. (English) Zbl 0705.58024
Using the so-called constrained variational calculus introduced by {\it Y. Zheng}, the first author and {\it D. Chen} [Sci. Sin., Ser. A 24, 138 (1986)] the authors cast the supersymmetric generalization [due to {\it M. Gürses} and {\it O. Oguz}, Phys. Lett. A 108, 437 (1985)] of the soliton equations of {\it M. J. Ablowitz}, {\it D. J. Kaup}, {\it A. C. Newell} and {\it H. Segur} [Stud. Appl. Math. 53, 249-315 (1974; Zbl 0408.35068)] into Hamiltonian form. It must be stated that because of misprints, sloppy notation and confusing organization the reading of the article is a nuisance.
Reviewer: H.Rumpf

37J35Completely integrable systems, topological structure of phase space, integration methods
37K10Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies
35Q51Soliton-like equations
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