Geodesic
On canonical coordinates in soliton hierarchies
Teoretičeskaâ i matematičeskaâ fizika, Tome 99 (1994) no. 2, pp. 220-225 
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/
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     url = {http://geodesic.mathdoc.fr/item/TMF_1994_99_2_a6/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[1] M. Boiti, J. Leon, F. Pempinelli, Phys. Lett. A, 141 (1989), 96–100, 101–107 | DOI | MR

[2] M. Boiti, L. Martina, O. Pashaev, F. Pempinelli, Phys. Lett. A, 160 (1991), 55–63 | DOI | MR

[3] M. Boiti, L. Martina, F. Pempinelli, Multidimensional localized solitons, preprint, 1993 | MR

[4] R. Carroll, B. Konopelchenko, Lett. Math. Phys., 28 (1993), 307–319 | DOI | MR | Zbl

[5] R. Carroll, A. Folguera, Applicable Anal., 51 (1993), 1–33 | DOI | MR | Zbl

[6] A. Fokas, P. Santini, Physica D, 44 (1990), 99–130 | DOI | MR

[7] B. Konopelchenko, Solitons in multidimensions, World Scientific, 1993 | MR | Zbl