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Closed-form expressions for integrals of MKdV and sine-Gordon maps

Version 2 2022-03-29, 03:11
Version 1 2022-03-29, 03:08
journal contribution
posted on 2022-03-29, 03:11 authored by Pieter Van Der KampPieter Van Der Kamp, O Rojas, Gilles QuispelGilles Quispel
We present closed-form expressions for approximately N integrals of 2N-dimensional maps. The maps are obtained by travelling wave reductions of the modified Korteweg-de Vries equation and of the sine-Gordon equation, respectively. We provide the integrating factors corresponding to the integrals. Moreover we show how the integrals and the integrating factors relate to the staircase method. © 2007 IOP Publishing Ltd.

Funding

This research has been funded by the Australian Research Council through the Centre of Excellence for Mathematics and Statistics of Complex Systems. Reinout Quispel acknowledges fruitful interactions with Theo Tuwankotta in the early stages of this research. Omar Rojas is grateful for the support of two scholarships, one from La Trobe University and the other from the Endeavour IPRS programme.

History

Publication Date

2007-10-19

Journal

Journal of Physics A: Mathematical and Theoretical

Volume

40

Article Number

12789

Pagination

10p.

Publisher

IOP Publishing

ISSN

1751-8113

Rights Statement

© 2007 IOP Publishing Ltd.

Publisher DOI

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    Categories

    Keywords

    MKdV mapsine-Gordon map2N-dimensional mapsintegralsclosed-form expressions

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    In Copyright

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