Geodesic
On canonical coordinates in soliton hierarchies
Teoretičeskaâ i matematičeskaâ fizika, Tome 99 (1994) no. 2, pp. 220-225

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Canonical coordinates of the type (L,M) or (L,G), $G = WxW^{-1}$, are considered in connection with semiclassical or dispersionless limits $(\lambda,\mathcal M)$ or $(\lambda,\hat \xi)$. Connections of soliton hierarchies to Hamilton–Jacobi theory for dKP and to action principles and gravity for KdV are indicated. 
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     author = {Robert Carroll},
     title = {On canonical coordinates in soliton hierarchies},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {220--225},
     publisher = {mathdoc},
     volume = {99},
     number = {2},
     year = {1994},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TMF_1994_99_2_a6/}
}
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Robert Carroll. On canonical coordinates in soliton hierarchies. Teoretičeskaâ i matematičeskaâ fizika, Tome 99 (1994) no. 2, pp. 220-225. http://geodesic.mathdoc.fr/item/TMF_1994_99_2_a6/