Nonlinear Phenomena in Complex Systems, 2017, Vol.20, No.3, pp. 267

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2017, Vol.20, No.3, pp. 267 - 271

Integrability Study of a Four-dimensional Eighth-order Nonlinear Wave Equation
S. Yu. Sakovich

We study the integrability of the four-dimensional eighth-order nonlinear wave equation of Kac and Wakimoto, associated with the exceptional affine Lie algebra e₆⁽¹⁾. Using the Painleve analysis for partial differential equations, we show that this equation must be non-integrable in the Lax sense but very likely it possesses a lower-order integrable reduction.

Key words: nonlinear wave equation, solitons, integrability, Painleve analysis

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