Geodesic
Universal Models of Soliton Hierarchies
Teoretičeskaâ i matematičeskaâ fizika, Tome 136 (2003) no. 2, pp. 197-208

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We consider commutativity equations and a related new model similar to the Kadomtsev–Petviashvili equation in the Sato theory. Integration of this model equation with three independent variables is based on a generalization of the Dubrovin equations and the recently developed theory of transformations of spectral problems. We give examples of equations with a fractional-power dispersion law that can be linearized in this theory.
Keywords: commutativity equations, classical hierarchies.
Mots-clés : Dubrovin equations 
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     author = {A. B. Shabat},
     title = {Universal {Models} of {Soliton} {Hierarchies}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {197--208},
     publisher = {mathdoc},
     volume = {136},
     number = {2},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2003_136_2_a1/}
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A. B. Shabat. Universal Models of Soliton Hierarchies. Teoretičeskaâ i matematičeskaâ fizika, Tome 136 (2003) no. 2, pp. 197-208. http://geodesic.mathdoc.fr/item/TMF_2003_136_2_a1/