NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2025, Vol.28, No.1, pp.64 - 67

On a New 3D Generalized Hunter–Saxton Equation

Sergei Sakovich

The problem of integrability is studied for a 3D generalized Hunter–Saxton equation introduced recently by O.I. Morozov. A transformation is found which brings the equation into a constant-characteristic form and simultaneously trivializes the equation's Lax representation. The transformed equation is shown to fail the Painlevé test for integrability.

Key words: nonlinear wave equation, integrability, transformation, singularity analysis

DOI: https://doi.org/10.5281/zenodo.15081420

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