On a new 3D generalized Hunter-Saxton equation

Published 8 Jul 2024 in nlin.SI, math-ph, and math.MP | (2407.05723v1)

Abstract: 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 Painleve test for integrability.

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Authors (1)

Sergei Sakovich

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