Bäcklund transformations for certain rational solutions of Painlevé VI
نویسندگان
چکیده
We introduce certain Backlund transformations for rational solutions of the Painleve VI equation. These act on a family tau functions. They are obtained from reducing Hirota bilinear equations that describe relation between points in 3 component polynomial KP Grassmannian. In this way we obtain root lattice A5. also show A5 can be related to F4(1) lattice. thus relate functions, parametrized by elements
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ژورنال
عنوان ژورنال: Journal of Nonlinear Mathematical Physics
سال: 2021
ISSN: ['1776-0852', '1402-9251']
DOI: https://doi.org/10.1080/14029251.2013.862430