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Hamiltonian structure of the super evolution equation. (English) Zbl 0705.58024
Using the so-called constrained variational calculus introduced by Y. Zheng, the first author and D. Chen [Sci. Sin., Ser. A 24, 138 (1986)] the authors cast the supersymmetric generalization [due to M. Gürses and O. Oguz, Phys. Lett. A 108, 437 (1985)] of the soliton equations of M. J. Ablowitz, D. J. Kaup, A. C. Newell and 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

MSC:
37J35 Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests
37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)
35Q51 Soliton equations
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References:
[1] DOI: 10.1016/0375-9601(84)90693-5 · doi:10.1016/0375-9601(84)90693-5
[2] DOI: 10.1016/0375-9601(85)90033-7 · doi:10.1016/0375-9601(85)90033-7
[3] DOI: 10.1143/PTP.72.641 · Zbl 1074.81578 · doi:10.1143/PTP.72.641
[4] DOI: 10.1063/1.527309 · Zbl 0614.70014 · doi:10.1063/1.527309
[5] Zheng Yun-bo, Sci. Sinica A 24 pp 138– (1986)
[6] Tu Gui-zhang, Science Building 29 pp 1227– (1984)
[7] DOI: 10.1007/BF02819989 · doi:10.1007/BF02819989
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