THERMAL SCIENCE

International Scientific Journal

Chao Yue

,

Tiecheng Xia

,

Guijuan Liu

,

Qiang Lu

,

Ning Zhang

THE GENERALIZED GIACHETTI-JOHNSON HIERARCHY AND ALGEBRO-GEOMETRIC SOLUTIONS OF THE COUPLED KDV-MKDV EQUATION

ABSTRACT
By using a Lie algebra A1, an isospectral Lax pair is introduced from which a generalized Giachetti-Johnson hierarchy is generated, which reduce to the coupled KdV-MKdV equation, furthermore, the algebro-geometric solutions of the coupled KdV-MKdV equation are constructed in terms of Riemann theta functions.
KEYWORDS
algebro-geometric solution, Riemann theta function, coupled KdV-MKdV equation
PAPER SUBMITTED: 2018-07-19
PAPER REVISED: 2018-10-20
PAPER ACCEPTED: 2019-01-25
PUBLISHED ONLINE: 2019-06-08
DOI REFERENCE: https://doi.org/10.2298/TSCI180719257Y
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE Issue 3, PAGES [1697 - 1702]
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The generalized Giachetti-Johnson hierarchy and algebro-geometric solutions of the coupled KdV-MKdV equation

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence