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q-DISCRETE PAINLEVÉ EQUATIONS: THEIR HIERARCHIES AND PROPERTIES

Part of: Other special functions Differential equations in the complex domain Functional-differential and differential-difference equations Infinite-dimensional Hamiltonian systems

Published online by Cambridge University Press:  14 September 2020

HUDA DAEFALLH ALRASHDI
HUDA DAEFALLH ALRASHDI*
Affiliation:
School of Mathematics, King Saud University, Riyadh11451, Saudi Arabia
*
e-mail: halrashidi@ksu.edu.sa
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Abstract

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Keywords

q-discrete Painlevé equationLax pairhierarchiesBäcklund transformationsymmetry group

MSC classification

Primary: 34M55: Painlevé and other special equations; classification, hierarchies;
Secondary: 33E17: Painlevé-type functions 34K17: Transformation and reduction of equations and systems, normal forms 37K10: Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies (KdV, KP, Toda, etc.)
Type
Abstracts of Australasian PhD Theses
Information
Bulletin of the Australian Mathematical Society , Volume 103 , Issue 2 , April 2021 , pp. 333 - 334
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Copyright
© 2020 Australian Mathematical Publishing Association Inc.

Footnotes

Thesis submitted to the University of Sydney in June 2019; degree approved on 4 November 2019; supervisor Nalini Joshi.

References

Alrashdi, H., Joshi, N. and Tran, D., ‘Hierarchies of $q$-discrete Painlevé equations’, J. Nonlinear Math. Phys. 27(3) (2020), 453–477.CrossRefGoogle Scholar