Contact Equivalence of the Generalized Hunter - Saxton Equation and the Euler - Poisson Equation

2004/06/09 by Oleg I. Morozov, Morozov, Oleg I. · 2 citations
Mathematics · Physics and Astronomy · #35A30 #58H05 #58J70 #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Geometric and Algebraic Topology #Mathematical Physics (math-ph) #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #math-ph #math.DG #math.MP #msc:35A30 #msc:58H05 #msc:58J70

paper · pdf · doi:10.48550/arxiv.math-ph/0406016

openalex publication_date 2004/06/09 · arxiv created 2005/07/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a contact transformation of the generalized Hunter--Saxton equation to the Euler--Poisson equation with special values of the Ovsiannikov invariants. We also find the general solution for the generalized Hunter--Saxton equation.

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• An alternative approach to the quasi-Periodic solutions of the Hunter-Saxton hierarchy
• The algebro-geometric solutions for Hunter-Saxton hierarchy

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