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

Hitoshi Harada; Shin'ichi Oishi

doi:10.1143/JPSJ.54.51

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

Hitoshi Harada, Shin'ichi Oishi

School of Fundamental Science and Engineering

Research output: Contribution to journal › Article › peer-review

19 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	51-56
Number of pages	6
Journal	journal of the physical society of japan
Volume	54
Issue number	1
DOIs	https://doi.org/10.1143/JPSJ.54.51
Publication status	Published - 1985 Jan 1

ASJC Scopus subject areas

Physics and Astronomy(all)

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

Abstract

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