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Prog. Theor. Phys. Vol. 69 No. 1 (1983) pp. 48-64

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The Nonlinear Evolution Equations Related to the Wadati-Konno-Ichikawa Spectral Problem

M. Boiti, F. Pempinelli and G. Z. Tu

Dipartimento di Fisica dell'Università, Lecce, Italia
Istituto Nazionale di Fisica Nucleare, Sezione di Bari, Italia

(Received August 3, 1982)

Abstract:

The Wadati-Konno-Ichikawa (WKI) spectral problem is considered and the nonlinear evolution equations (NLEE) related to this problem are explicitly constructed. Together with the integrable NLEE already found by WKI new pure differential solvable NLEEs are derived. The properties of the integro-differential operator L generating all the considered NLEEs are studied. It is shown that the usually successful procedure used to derive the Bäcklund transformation does not work with these highly nonlinear evolution equations.


URL : http://ptp.ipap.jp/link?PTP/69/48/
DOI : 10.1143/PTP.69.48

[ Full Text PDF : FREE ACCESS (522K) ] Citation:

References:

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Citing Article(s) :

  1. Journal of the Physical Society of Japan 74 (2005) pp. 239-241 :
    The Short Pulse Equation Is Integrable
    Anton Sakovich and Sergei Sakovich
  2. Progress of Theoretical Physics Vol. 75 No. 5 (1986) pp. 1111-1141 :
    The WKIS System: Bäcklund Transformations, Generalized Fourier Transforms and All That
    M. Boiti, V. S. Gerdjikov and F. Pempinelli

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