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Prog. Theor. Phys. Vol. 76 No. 4 (1986) pp. 802-809
Symmetries and the Painlevé Property
Walter Strampp
Fachbereich 17 Mathematik, Gesamthochschule Kassel, 3500 Kassel
(Received June 23, 1986)
Abstract:
A test for the integrability of a nonlinear partial differential equation is the Painlevé analysis introduced by Weiss, Tabor and Carnevale. It turned out that Lax-pairs and Bäcklund transformations arise from the Painlevé test. More recently, Gibbon et al. revealed interrelations between the Painlevé property and Hirota's bilinear method. In this paper it is shown that symmetries and recursion operators can be obtained from the Painlevé expansion.q
URL :
http://ptp.ipap.jp/link?PTP/76/802/
DOI : 10.1143/PTP.76.802
References:
- S. Kowalevskaya, Acta Math. 14 (1890), 81.
-
Y. F. Chang, M. Tabor and J. Weiss, J. Math. Phys. 23 (1982), 531[CrossRef].
-
T. Bountis, H. Segur and F. Vivaldi, Phys. Rev. A25 (1982), 1257[APS].
-
M. J. Ablowitz, A. Ramani and H. Segur, J. Math. Phys. 21 (1980), 715[CrossRef].
-
J. Weiss, M. Tabor and G. Carnevale, J. Math. Phys. 24 (1983), 522[CrossRef].
-
J. Weiss, J. Math. Phys. 25 (1984), 13[CrossRef].
-
J. Weiss, J. Math. Phys. 24 (1983), 1405[CrossRef].
- J. D. Gibbon, P. Radmore, M. Tabor and D. Wood, Stud. Appl. Math. 72 (1985), 39.
-
W. Strampp, J. Math. Phys. 25 (1984), 2905[CrossRef].
-
J. Weiss, J. Math. Phys. 26 (1985), 258[CrossRef].
-
A. S. Fokas and R. L. Anderson, J. Math. Phys. 23 (1982), 1066[CrossRef].
- B. Fuchssteiner, Applications of Spectral Gradient Methods to Nonlinear Soliton Equations. Umdruck Paderborn.
- M. J. Ablowitz, D. J. Kaup, A. C. Newell and H. Segur, Stud. Appl. Math. 53 (1974), 249.
- D. V. Chudnovsky, G. V. Chudnovsky and M. Tabor, Phys. Lett. 97A (1983), 268.
-
W. Strampp, J. Phys. Soc. Jpn. 53 (1984), 4129[JPSJ].
-
V. E. Zakharov and B. G. Konopelchenko, Commun. Math. Phys. 94 (1984), 483[CrossRef].
- J. Weiss, Phys. Lett. 102A (1983), 329.
