NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2022, Vol.25, No.4, pp.381 - 386


On Integrability of a Third-Order Complex Nonlinear Wave Equation

Sergei Sakovich

We show that the new third-order complex nonlinear wave equation, introduced recently by Müller-Hoissen [arXiv:2202.04512], does not pass the Painlevé test for integrability. We find two reductions of this equation, one integrable and one non-integrable, whose solutions jointly cover all solutions of the original equation.

Key words: nonlinear equation, integrability, singularity analysis, reductions

DOI: https://doi.org/10.33581/1561-4085-2022-25-4-381-386

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