Abstract
Canonical coordinates of the type (L,M) or (L,G),G=W x W −1, are considered in connection with semiclassical or dis persionless limits (λ, μ) or (λ,\(\hat \xi \)). Connections of soliton hierarchies to Hamilton-Jacobi theory for dKP and to action principles and gravity for KdV are indicated.
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References For Appendix
M. Boiti, J. Leon, and F. Pempinelli, Phys. Lett.141A (1989) 96–100, 101–107.
M. Boiti, L. Martina, O. Pashaev, and F. Pempinelli, Phys. Lett.160A (1991) 55–63.
M. Boiti, L. Martina, and F. Pempinelli, Multidimensional localized solitons, preprint, 1993.
R. Carroll and B. Konopelchenko, Lett. Math. Phys.28 (1993) 307–319.
R. Carroll and A. Folguera, Applicable Anal.51 (1993) 1–33.
A. Fokas and P. Santini, Physica544D (1990) 99–130.
B. Konopelchenko, Solitons in Multidimensions, World Scientific, 1993.
Additional information
University of Illinois. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 99, No. 2, pp. 220–225, May, 1994.
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Carroll, R. On canonical coordinates in soliton hierarchies. Theor Math Phys 99, 538–542 (1994). https://doi.org/10.1007/BF01016135
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DOI: https://doi.org/10.1007/BF01016135