Geodesic
Matrix extension of the~Manakov--Santini system and an~integrable chiral model on an~Einstein--Weyl background
Teoretičeskaâ i matematičeskaâ fizika, Tome 201 (2019) no. 3, pp. 337-346

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We introduce an integrable matrix extension of the Manakov–Santini system and show that it describes a $(2+1)$-dimensional integrable chiral model in the Einstein–Weyl space. We apply a dressing scheme for the extended Manakov–Santini system and define an extended hierarchy. We also consider a matrix extension of a Toda-type system associated with another local form of the Einstein–Weyl geometry.
Keywords: Manakov–Santini system, Einstein–Weyl geometry, integrable chiral model, dispersionless integrable system. 
@article{TMF_2019_201_3_a2,
     author = {L. V. Bogdanov},
     title = {Matrix extension of {the~Manakov--Santini} system and an~integrable chiral model on {an~Einstein--Weyl} background},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {337--346},
     publisher = {mathdoc},
     volume = {201},
     number = {3},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2019_201_3_a2/}
}
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L. V. Bogdanov. Matrix extension of the~Manakov--Santini system and an~integrable chiral model on an~Einstein--Weyl background. Teoretičeskaâ i matematičeskaâ fizika, Tome 201 (2019) no. 3, pp. 337-346. http://geodesic.mathdoc.fr/item/TMF_2019_201_3_a2/