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Miura and generalized Bäcklund transformation for KdV hierarchy

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 22 Nov 2016Embargo end date: 01 Jan 2016 Brazil Publisher:IOP PublishingJournal:Journal of Physics A: Mathematical and Theoretical, volume 49, page 504,003 (issn: 1751-8113, eissn: 1751-8121,

Authors: Gomes, J. F.; Retore, A. L.; Zimerman, A. H.;

doi: 10.1088/1751-8113/49/50/504003 , 10.48550/arxiv.1610.02303

arXiv: http://arxiv.org/abs/1610.02303

handle: 11449/173855

Miura and generalized Bäcklund transformation for KdV hierarchy

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Abstract

Using the fact that Miura transformation can be expressed in the form of gauge transformation connecting the KdV and mKdV equations, we discuss the derivation of the B��cklund transformation and its Miura-gauge transformation connecting both hierarchies.

21 pages

Country

Brazil

Related Organizations

Universidade Estadual Paulista "Júlio de Mesquita Filho"
Brazil
Sao Paulo State University
Brazil
Institute for Theoretical Physics
Spain

Keywords

integrable models, High Energy Physics - Theory, Nonlinear Sciences - Exactly Solvable and Integrable Systems, High Energy Physics - Theory (hep-th), solitons, FOS: Physical sciences, Bcklund transformation, Mathematical Physics (math-ph), Exactly Solvable and Integrable Systems (nlin.SI), Mathematical Physics

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