Nonlinear Phenomena in Complex Systems, 2021, Vol.24, No.4, pp.311

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2021, Vol.24, No.4, pp.311 - 316

Integrability of One Bilinear Equation: Singularity Analysis and Dimension

Sergei Sakovich

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.

Key words: bilinear equation, integrability, singularity analysis, solitons

DOI: https://doi.org/10.33581/1561-4085-2021-24-4-311-316

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