On a New 3D Generalized Hunter--Saxton Equation

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.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-03-25
DOI
https://doi.org/10.5281/zenodo.15081419
Primary Topic
Nonlinear Waves and Solitons
Type
article
Field-Weighted Citation Impact
0.00
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article

On a New 3D Generalized Hunter--Saxton Equation

Zenodo (CERN European Organization for Nuclear Research)
Nonlinear Waves and Solitons
article

On a New 3D Generalized Hunter--Saxton Equation

article en

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 Painlevé test for integrability.

Zenodo (CERN European Organization for Nuclear Research)
National Academy of Sciences of Belarus (BY), Institute of Applied Physics (BY)
Openalex Percentile: Top 63%
Nonlinear Waves and Solitons
DOIOpen Access PDFOpenAlex
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On a New 3D Generalized Hunter--Saxton Equation · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS