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Sigma form of the second Painleve hierarchy

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posted on 2014-11-25, 09:42 authored by Stuart J. Andrew
The second Painleve hierarchy is a sequence of non-linear differential equations that have the second classical Painleve equation as its first member. We construct the sigma forms of this hierarchy and use this to examine some natural applications.

Funding

Loughborough University

History

School

  • Science

Department

  • Mathematical Sciences

Publisher

© Stuart James Andrew

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Publication date

2014

Notes

A Masters Thesis. Submitted in partial fulfilment of the requirements for the award of Master of Philosophy of Loughborough University.

Language

  • en

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