On a new 3D generalized Hunter-Saxton equation
Exactly Solvable and Integrable Systems
2025-03-28 v1 Mathematical Physics
math.MP
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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Cite
@article{arxiv.2407.05723,
title = {On a new 3D generalized Hunter-Saxton equation},
author = {Sergei Sakovich},
journal= {arXiv preprint arXiv:2407.05723},
year = {2025}
}
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6 pages