Integrability of One Bilinear Equation: Singularity Analysis and Dimension
2021 ◽
Vol 24
(4)
◽
pp. 311-316
Keyword(s):
The integrability of a four-dimensional sixth-order bilinear equation associated with the exceptional affine Lie algebra D(1)4 is studied by means of the singularity analysis. This equation is shown to pass the Painlevé test in three distinct cases of its coefficients, exactly when the equation is effectively a three-dimensional one, equivalent to the BKP equation.
2020 ◽
Vol 21
(7-8)
◽
pp. 739-747
Keyword(s):
2021 ◽
Vol 0
(0)
◽
2011 ◽
Vol 26
(01)
◽
pp. 149-160
Keyword(s):
2003 ◽
Vol 284
(1)
◽
pp. 31-48
◽