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

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概要

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• The Wadai-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 Backlund transformation does not work with these highly nonlinear evolution equations.

• 理論物理学刊行会の論文
• 1983-01-25

著者

• Tu G.

  Computing Center Of Chinese-academy Of Sciences

• BOITI M.

  Dipartimento di Fisica dell'Universita

• PEMPINELLI F.

  Istituto Nazionale di Fisica Nucleare

• Boiti M.

  Dipartimento Di Fisica Dell'universita

• Tu G.Z.

  Computing Center of Chinese-Academy of Sciences

関連論文

• The Nonlinear Evolution Equations Related to the Wadati-Konno-Ichikawa Spectral Problem
• The WKIS System: Backlund Transformations, Generalized Fourier Transforms and All That : Astrophysics and Relativity

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