Generic regularity and Lipschitz metric for the Hunter–Saxton type equations
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2016.10.003
Abstract: Abstract The Hunter–Saxton equation determines a flow of conservative solutions taking values in the space H 1 ( R + ) . However, the solution typically includes finite time gradient blowups, which make the solution… read more here.
Keywords: hunter saxton; saxton; saxton type; type equations ... See more keywords
Novel symmetric structures and explicit solutions to a coupled Hunter-Saxton equation
Sign Up to like & getrecommendations! Published in 2023 at "Physica Scripta"
DOI: 10.1088/1402-4896/acd1c1
Abstract: In the current study, novel symmetric structures to a coupled Hunter-Saxton equation are synthetically investigated. These novel symmetric structures include Lie symmetries, discrete symmetries, nonlocally related systems, and μ-symmetries. Lie symmetries and μ-symmetries are then… read more here.
Keywords: symmetric structures; coupled hunter; novel symmetric; hunter saxton ... See more keywords
Blow-up analysis for a periodic two-component μ-Hunter–Saxton system
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-018-1903-8
Abstract: The two-component μ-Hunter–Saxton system is considered in the spatially periodic setting. Firstly, two wave-breaking criteria are derived by employing the transport equation theory and the localization analysis method. Secondly, a sufficient condition of the blow-up… read more here.
Keywords: saxton system; hunter saxton; component hunter; two component ... See more keywords
Generalized Nonlocal Symmetries of Two-Component Camassa-Holm and Hunter-Saxton Systems
Sign Up to like & getrecommendations! Published in 2022 at "Symmetry"
DOI: 10.3390/sym14030528
Abstract: The two-component Camassa–Holm system and two-component Hunter–Saxton system are completely integrable models. In this paper, it is shown that these systems admit nonlocal symmetries by their geometric integrability. As an application, we obtain the recursion… read more here.
Keywords: camassa holm; hunter saxton; component camassa; two component ... See more keywords