A New Approach to Completely Integrable Partial Differential Equations by Means of the Singularity Analysis

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  • Harada Hitoshi
    Department of Electronics and Communication Engineering, School of Science and Engineering, Waseda University
  • Oishi Shin’ichi
    Department of Electronics and Communication Engineering, School of Science and Engineering, Waseda University

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  • A New Approach to Completely Integrable

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A method is presented to pick out candidates for completely integrable nonlinear partial differential equations among those in the same form but with their coefficients being different in value. This method is based on the singularity analysis of Weiss et al. As an example, the fifth order KdV type equations are investigated. Investigations of various forms of nonlinear partial differential equations by this method will be of some help to the systematic study of the complete integrability.

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