In the current study, novel symmetric structures to a coupled Hunter-Saxton equation are
synthetically investigated. These novel symmetric structures include Lie symmetries, discrete …

In this paper, we study a generalized Riemann-type hydrodynamical equation and establish
the existence of a weak solution to the equation in a lower order Sobolev space (H s (R)) N …

In this paper, we study the bilinear form and the general N-soliton solution for a two-
component Hunter–Saxton (2-HS) equation, which is the short wave limit of a two …

Recently, a Hamiltonian regularised shallow water (Saint-Venant) system has been
introduced by Clamond and Dutykh (2018). This system is Galilean invariant, linearly non …

The Bäcklund transformation for an integrable two-component Camassa–Holm (CH)
equation is presented and studied. It involves both dependent and independent variables. A …

Solitary wave solutions of the generalized two-component Hunter–Saxton system - ScienceDirect
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In the present paper, we propose a two-component generalization of the reduced Ostrovsky
(Vakhnenko) equation, whose differential form can be viewed as the short-wave limit of a …

Based on the classical Lie group method, a generalized two-component Hunter-Saxton
system is studied in this paper. All of the its geometric vector fields, infinitesimal generators …

In this work, we investigate the Cauchy problem for a generalized Riemann-type
hydrodynamical equation. The local well-posedness of the equation in Besov spaces is …

Dynamical system theory is applied to the generalized two-component Hunter–Saxton
system. Two singular straight lines are found in the associated topological vector field. The …