Contiguity relations for linearisable systems of Gambier type

A. Ramani; B. Grammaticos; P. Guha

doi:10.1080/14029251.2013.868269

Contiguity relations for linearisable systems of Gambier type

A. Ramani, B. Grammaticos, P. Guha

Mathematics

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

1 Scopus citations

Abstract

We introduce the Schlesinger transformations for the Gambier, linearisable, equation and by combining the former construct the contiguity relations of the solutions of the latter. We extend the approach to the discrete domain obtaining thus the Schlesinger transformations and the contiguity relations of the solutions of the Gambier mapping. In all cases the resulting contiguity relation is a linearisable equation, involving free functions, and which can be related to the generic Gambier mapping.

Original language	British English
Pages (from-to)	565-576
Number of pages	12
Journal	Journal of Nonlinear Mathematical Physics
Volume	20
Issue number	4
DOIs	https://doi.org/10.1080/14029251.2013.868269
State	Published - 2 Oct 2013

Keywords

Contiguity relations
Gambier equation
Linearisability

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10.1080/14029251.2013.868269

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KW - Linearisability

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Contiguity relations for linearisable systems of Gambier type

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Keywords

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