We study the stability of traveling wave solutions to a fifth-order water wave model. By solving a constrained minimization problem we show that “ground state ” traveling wave solutions exist. Their stability is shown to be determined by the convexity or concavity of a function d(c) of the wave speed c. The analysis makes frequent use of the variational properties of the traveling waves.
Transverse stability and instability of solitary waves correspond to a class of perturbations that a...
This paper presents a universal fifth-order Stokes solution for steady water waves on the basis of p...
International audienceWe consider a fifth-order Kadomtsev-Peviashvili equation which arises as a two...
We consider the stability of solitary waves of a class of 5th order KdV equations. It is known that ...
AbstractIn the present study, by implementing the direct algebraic method, we present the traveling ...
The Olver equation is governing a unidirectional model for describing long and small amplitude waves...
In this paper we consider a class of one-dimensional nonlinear shallow water wave models that suppor...
This work presents new results about the instability of solitary-wave solutions to a generalized fif...
Abstract. This work presents new results about the instability of solitary-wave solutions to a gener...
We establish the nonlinear stability of solitary waves (solitons) and periodic traveling wave soluti...
In this talk, we explore the simplest equation that exhibits high frequency instabilities, the fifth...
The main purpose of this work is to obtain many travelling wave solutions for general KaupKuperschmi...
In this paper, a sequel to two others [1, 2], some extensions and improvements of this earlier work ...
The peakons are peaked traveling wave solutions of an integrable shallow water equa-tion. We present...
This work presents new results about the instability of solitary-wave solutions to a generalized fif...
Transverse stability and instability of solitary waves correspond to a class of perturbations that a...
This paper presents a universal fifth-order Stokes solution for steady water waves on the basis of p...
International audienceWe consider a fifth-order Kadomtsev-Peviashvili equation which arises as a two...
We consider the stability of solitary waves of a class of 5th order KdV equations. It is known that ...
AbstractIn the present study, by implementing the direct algebraic method, we present the traveling ...
The Olver equation is governing a unidirectional model for describing long and small amplitude waves...
In this paper we consider a class of one-dimensional nonlinear shallow water wave models that suppor...
This work presents new results about the instability of solitary-wave solutions to a generalized fif...
Abstract. This work presents new results about the instability of solitary-wave solutions to a gener...
We establish the nonlinear stability of solitary waves (solitons) and periodic traveling wave soluti...
In this talk, we explore the simplest equation that exhibits high frequency instabilities, the fifth...
The main purpose of this work is to obtain many travelling wave solutions for general KaupKuperschmi...
In this paper, a sequel to two others [1, 2], some extensions and improvements of this earlier work ...
The peakons are peaked traveling wave solutions of an integrable shallow water equa-tion. We present...
This work presents new results about the instability of solitary-wave solutions to a generalized fif...
Transverse stability and instability of solitary waves correspond to a class of perturbations that a...
This paper presents a universal fifth-order Stokes solution for steady water waves on the basis of p...
International audienceWe consider a fifth-order Kadomtsev-Peviashvili equation which arises as a two...
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