Higher symmetries of cotangent coverings for Lax-integrable multi-dimensional partial differential equations and Lagrangian deformations

Physics and Mathematics of Nonlinear Phenomena 2013

Baran, H.^1 ; Krasil'Shchik, I.S.^1,2 ; Morozov, O.I.^3 ; Vojcák, P.^1

Mathematical Institute, Silesian University in Opava, Na Rybníku 1, 746 01 Opava, Czech Republic^1

Independent University of Moscow, B. Vlasevsky 11, 119002 Moscow, Russia^2

Institute of Mathematics and Statistics, University of Tromsø, Tromsø 9037, Norway^3

关键词: Bivectors;    Lagrangian;    Local symmetry;    Multi dimensional;    Multidimensional systems;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/482/1/012002/pdf
DOI  :  10.1088/1742-6596/482/1/012002

来源: IOP

【 摘 要 】

We present examples of Lax-integrable multi-dimensional systems of partial differential equations with higher local symmetries. We also consider Lagrangian deformations of these equations and construct variational bivectors on them.