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Integrability of two-component systems of partial differential equations

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posted on 17.08.2020 by Guangxiu Zhao
This thesis is devoted to the classification of integrable two-component polynomial homogeneous systems of equations. In the framework of the perturbative symmetry approach we derive necessary integrability conditions for such systems. We then classify integrable two-component polynomial homogeneous systems of order 3 and 5. In the Chapter 5 using the Drinfel’d–Sokolov approach we derive Lax representations for the systems obtained in the result of classification.

History

School

  • Science

Department

  • Mathematical Sciences

Publisher

Loughborough University

Rights holder

© Guangxiu Zhao

Publication date

2020

Notes

A doctoral thesis. Submitted in partial fulfilment of the requirements for the award of Doctor of Philosophy of Loughborough University.

Language

en

Supervisor(s)

Vladimir Novikov ; Evgeny Ferapontov

Qualification name

PhD

Qualification level

Doctoral

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