Geodesic
On the~integrability of a four-component super system
Teoretičeskaâ i matematičeskaâ fizika, Tome 210 (2022) no. 1, pp. 99-114

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A four-component system of the Camassa–Holm type depending on both bosonic and fermionic variables is proposed. This system is shown to be the compatibility condition for a pair of linear spectral problems in the Zakharov–Shabat form, and its infinitely many conservation laws and bi-Hamiltonian structure are established.
Keywords: spectral problem, conservation law, bi-Hamiltonian structure. 
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     author = {Liming Zang},
     title = {On the~integrability of a four-component super system},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {99--114},
     publisher = {mathdoc},
     volume = {210},
     number = {1},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2022_210_1_a5/}
}
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Liming Zang. On the~integrability of a four-component super system. Teoretičeskaâ i matematičeskaâ fizika, Tome 210 (2022) no. 1, pp. 99-114. http://geodesic.mathdoc.fr/item/TMF_2022_210_1_a5/