Geodesic
Quasi-classical limit of KP hierarchy, $W$-symmetries and free fermions
Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 15–2, Tome 235 (1996), pp. 295-303 
Kanehisa Takasaki; Takashi Takebe. Quasi-classical limit of KP hierarchy, $W$-symmetries and free fermions. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 15–2, Tome 235 (1996), pp. 295-303. http://geodesic.mathdoc.fr/item/ZNSL_1996_235_a16/
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     author = {Kanehisa Takasaki and Takashi Takebe},
     title = {Quasi-classical limit of {KP} hierarchy, $W$-symmetries and free fermions},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {295--303},
     year = {1996},
     volume = {235},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1996_235_a16/}
}
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This paper deals with the dispersionless KP hierarchy from the point of view of quasiclassical limit. Its Lax formalism, W-infinity symmetries, and general solutions are shown to be reproduced from their counterparts in the KP hierarchy in the limit of $\hbar\to0$. Free fermions and bosonized vertex operators play a key role in the description of W-infinity symmetries and general solutions, which is technically very similar to a recent free fermion formalism of $c=1$ matrix models. Bibl. 25 titles.