Integrability of one bilinear equation: singularity analysis and dimension
Exactly Solvable and Integrable Systems
2022-11-01 v2 Mathematical Physics
math.MP
Abstract
The integrability of a four-dimensional sixth-order bilinear equation associated with the exceptional affine Lie algebra is studied by means of the singularity analysis. This equation is shown to pass the Painlev\'{e} test in three distinct cases of its coefficients, exactly when the equation is effectively a three-dimensional one, equivalent to the BKP equation.
Cite
@article{arxiv.2109.02073,
title = {Integrability of one bilinear equation: singularity analysis and dimension},
author = {Sergei Sakovich},
journal= {arXiv preprint arXiv:2109.02073},
year = {2022}
}
Comments
8 pages; v2: one sentence corrected