Add to ORKGABSTRACT. We study here the existence of solitary wave solutions of a generalized two-component Camassa-Holm system. In addition to those smooth solitary-wave solutions, we show that there are solitary waves with singularities: peaked and cusped solitary waves. We also demonstrate that all smooth solitary waves are orbitally stable in the energy space. We finally give a sufficient condition for global strong solutions to the equation in some special case. 1
ABSTRACT. In this paper we study a generalized two-component Camassa-Holm system which can be derive...
In this paper we employ two recent analytical approaches to investigate the possible classes of trav...
This paper proves existence and stability of solitary-wave solutions of a system of 2-coupled nonlin...
AbstractThe existence of solitary wave solutions of the generalized two-component Hunter–Saxton syst...
We derive the precise stability criterion for smooth solitary waves in the b-family of Camassa-Holm ...
We consider the stability problem of the solitary wave solutions of a completely integrable equation...
We establish the existence of solitary wave solutions with exponential decay at infinity for a nonli...
The interest in the Camassa-Holm equation inspired the search for various generalizations of this eq...
Abstract. The orbital stability of the peaked solitary-wave solutions for a gen-eralization of the m...
In this paper, we study the stability of smooth solitary waves for the $b$-family of Camassa-Holm eq...
This paper is devoted to the continuation of solutions to the Camassa-Holm equation after wave break...
In this article, we study a generalized weakly dissipative periodic two-component Camassa-Holm syst...
We study the existence of minimizers for a constrained variational problems in H1(ℝ). These minimize...
We show the existence of a global weak dissipative solution of the Cauchy problem for the two-compon...
In this paper we employ two recent analytical approaches to investigate the possible classes of trav...
ABSTRACT. In this paper we study a generalized two-component Camassa-Holm system which can be derive...
In this paper we employ two recent analytical approaches to investigate the possible classes of trav...
This paper proves existence and stability of solitary-wave solutions of a system of 2-coupled nonlin...
AbstractThe existence of solitary wave solutions of the generalized two-component Hunter–Saxton syst...
We derive the precise stability criterion for smooth solitary waves in the b-family of Camassa-Holm ...
We consider the stability problem of the solitary wave solutions of a completely integrable equation...
We establish the existence of solitary wave solutions with exponential decay at infinity for a nonli...
The interest in the Camassa-Holm equation inspired the search for various generalizations of this eq...
Abstract. The orbital stability of the peaked solitary-wave solutions for a gen-eralization of the m...
In this paper, we study the stability of smooth solitary waves for the $b$-family of Camassa-Holm eq...
This paper is devoted to the continuation of solutions to the Camassa-Holm equation after wave break...
In this article, we study a generalized weakly dissipative periodic two-component Camassa-Holm syst...
We study the existence of minimizers for a constrained variational problems in H1(ℝ). These minimize...
We show the existence of a global weak dissipative solution of the Cauchy problem for the two-compon...
In this paper we employ two recent analytical approaches to investigate the possible classes of trav...
ABSTRACT. In this paper we study a generalized two-component Camassa-Holm system which can be derive...
In this paper we employ two recent analytical approaches to investigate the possible classes of trav...
This paper proves existence and stability of solitary-wave solutions of a system of 2-coupled nonlin...