Dispersionless (3+1)-dimensional integrable hierarchies

2016/05/24 by Maciej Blaszak, Artur Sergyeyev · 1 citation
Physics and Astronomy · #nlin.SI

paper · pdf · doi:10.1098/rspa.2016.0857

15 pages, no figures

arxiv created 2016/05/24 · arxiv updated 2017/07/05

Abstract

In the present paper we introduce a multi-dimensional version of the R-matrix approach to the construction of integrable hierarchies. Applying this method to the case of the Lie algebra of functions with respect to the contact bracket, we construct integrable hierarchies of (3+1)-dimensional dispersionless systems of the type recently introduced by one of us in arXiv:1401.2122.

Cited by

• Contact Lax pairs and associated (3+1)-dimensional integrable dispersionless systems

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