TY - JOUR

T1 - The inverse monodromy transform is a canonical transformation

AU - Flaschka, H.

AU - Newell, A. C.

PY - 1982/1/1

Y1 - 1982/1/1

N2 - This chapter discusses the inverse monodromy transform, explaining how it is a canonical transformation. The Inverse Monodromy Transform (IMT) parallels the Inverse Scattering Transform (IST). The finite dimensional solution manifold for these flows is not necessarily compact, not a torus, and so the KAM theorem does not directly apply. The potential connection between a possible preservation of the solution manifold and the preservation of the Painleve property is an intriguing one. Now the contours are the same as those used in the integral definitions of Airy functions.

AB - This chapter discusses the inverse monodromy transform, explaining how it is a canonical transformation. The Inverse Monodromy Transform (IMT) parallels the Inverse Scattering Transform (IST). The finite dimensional solution manifold for these flows is not necessarily compact, not a torus, and so the KAM theorem does not directly apply. The potential connection between a possible preservation of the solution manifold and the preservation of the Painleve property is an intriguing one. Now the contours are the same as those used in the integral definitions of Airy functions.

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U2 - 10.1016/S0304-0208(08)71041-7

DO - 10.1016/S0304-0208(08)71041-7

M3 - Article

AN - SCOPUS:0345960666

SN - 0304-0208

VL - 61

SP - 65

EP - 89

JO - North-Holland Mathematics Studies

JF - North-Holland Mathematics Studies

IS - C

ER -