Dispersionless Multi-Dimensional Integrable Systems and Related Conformal Structure Generating Equations of Mathematical Physics

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2019
• Main Authors: Hentosh, O.Ye., Prykarpatsky, Ya.A., Blackmore, D., Prykarpatski, A.K.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210309
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Dispersionless Multi-Dimensional Integrable Systems and Related Conformal Structure Generating Equations of Mathematical Physics / O.Ye. Hentosh, Ya.A. Prykarpatsky, D. Blackmore, A.K. Prykarpatski // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 30 назв. — англ.

Using diffeomorphism group vector fields on C-multiplied tori and the related Lie-algebraic structures, we study multi-dimensional dispersionless integrable systems that describe conformal structure generating equations of mathematical physics. An interesting modification of the devised Lie-algebrai...