On deformations of the dispersionless Hirota equation

JOURNAL OF GEOMETRY AND PHYSICS

卷:127

Article

Krynski, Wojciech¹ 

[1] Polish Acad Sci, Inst Math, Ul Sniadeckich 8, PL-00656 Warsaw, Poland

关键词: Integrable system;    Dispersionless Hirota equation;    Twistor space;    Einstein-Weyl structure;    Deformation;   

DOI  :  10.1016/j.geomphys.2018.01.022

来源: Elsevier

【 摘 要 】

The class of hyper-CR Einstein-Weyl structures on R-3 can be described in terms of the solutions to the dispersionless Hirota equation. In the present paper we show that simple geometric constructions on the associated twistor space lead to deformations of the Hirota equation that have been introduced recently by B. Kruglikov and A. Panasyuk. Our method produces also the hyper-CR equation and can be applied to other geometric structures related to different twistor constructions. (C) 2018 Elsevier B.V. All rights reserved.

【 授权许可】

Free