On a New 3D Generalized Hunter--Saxton Equation
Year: 2025
Type: article
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.
Author: Sakovich, Sergei
Institution: National Academy of Sciences of Belarus
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W6911879651
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