We consider the stability problem of the solitary wave solutions of a completely integrable equation that arises as a model for the unidirectional propagation of shallow water waves. We prove that the solitary waves possess the spectral properties of solitons and that their shapes are stable under small disturbances
Our aim is to examine the dynamic characteristics of the (3+1)-dimensional generalized equation gove...
We consider the stability of solitary waves of a class of 5th order KdV equations. It is known that ...
Solitary-wave solutions of a nonlinearly dispersive equation are considered. It is found that solita...
ABSTRACT. We study here the existence of solitary wave solutions of a generalized two-component Cama...
We derive the precise stability criterion for smooth solitary waves in the b-family of Camassa-Holm ...
We prove an asymptotic stability result for the water wave equations linearized around small solitar...
Abstract Considered here is the stability problem of solitary traveling waves with non-zero boundary...
We establish the existence of solitary wave solutions with exponential decay at infinity for a nonli...
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...
We use integrability to prove the stability of smooth periodic solutions of the Camassa-Holm equatio...
We study the existence of minimizers for a constrained variational problems in H1(ℝ). These minimize...
The relations between smooth and peaked soliton solutions are reviewed for the Camassa-Holm (CH) sha...
The relations between smooth and peaked soliton solutions are reviewed for the Camassa- Holm (CH) sh...
The interest in the Camassa-Holm equation inspired the search for various generalizations of this eq...
Our aim is to examine the dynamic characteristics of the (3+1)-dimensional generalized equation gove...
We consider the stability of solitary waves of a class of 5th order KdV equations. It is known that ...
Solitary-wave solutions of a nonlinearly dispersive equation are considered. It is found that solita...
ABSTRACT. We study here the existence of solitary wave solutions of a generalized two-component Cama...
We derive the precise stability criterion for smooth solitary waves in the b-family of Camassa-Holm ...
We prove an asymptotic stability result for the water wave equations linearized around small solitar...
Abstract Considered here is the stability problem of solitary traveling waves with non-zero boundary...
We establish the existence of solitary wave solutions with exponential decay at infinity for a nonli...
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...
We use integrability to prove the stability of smooth periodic solutions of the Camassa-Holm equatio...
We study the existence of minimizers for a constrained variational problems in H1(ℝ). These minimize...
The relations between smooth and peaked soliton solutions are reviewed for the Camassa-Holm (CH) sha...
The relations between smooth and peaked soliton solutions are reviewed for the Camassa- Holm (CH) sh...
The interest in the Camassa-Holm equation inspired the search for various generalizations of this eq...
Our aim is to examine the dynamic characteristics of the (3+1)-dimensional generalized equation gove...
We consider the stability of solitary waves of a class of 5th order KdV equations. It is known that ...
Solitary-wave solutions of a nonlinearly dispersive equation are considered. It is found that solita...
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