The local well-posedness of a periodic nonlinear equation for surface waves of moderate amplitude in shallow water was studied in Duruk Mutlubas (2014) where an approach proposed by Kato based on semigroup theory for quasi-linear equations was used. It was also shown that singularities for the model equation can occur only in the form of wave breaking, in particular surging breakers. In this paper, we correct the mistake made in the proof of the main result on local well-posedness and give the appropriate assumptions followed by the corresponding results
AbstractIn this paper we consider the periodic Cauchy problem for a fifth order modification of the ...
In this paper we derive a new formulation of the water waves equa-tions with vorticity that generali...
The basic equations for wave motions are formed with the surface displacement-η and the velocity pot...
The local well-posedness of a periodic nonlinear equation for surface waves of moderate amplitude in...
In this article, we consider a nonlinear evolution equation for surface waves in shallow water over...
We present a comprehensive introduction and overview of a recently derived model equation for waves ...
In this work we are interested in the well-posedness issues for the initial value problem associated...
In this paper we prove that the already-established local well-posedness in the range s > -5/4 of...
AbstractThe focus of this paper is on the blow-up of a recently derived one-dimensional shallow wate...
A nonlinear shallow water equation, which includes the famous Camassa–Holm (CH) and Degasperis–Proce...
AbstractIn this paper we prove that the already-established local well-posedness in the range s>−5/4...
AbstractA nonlinear shallow water equation, which includes the famous Camassa–Holm (CH) and Degasper...
AbstractWe establish local well-posedness in the Sobolev space Hs with any s>32 for an integrable no...
We establish local well-posedness in the Sobolev space H with any s ? for an integrable nonlinea...
In this paper, we consider a kind of new nonlinear dispersive wave equation, which is generalized in...
AbstractIn this paper we consider the periodic Cauchy problem for a fifth order modification of the ...
In this paper we derive a new formulation of the water waves equa-tions with vorticity that generali...
The basic equations for wave motions are formed with the surface displacement-η and the velocity pot...
The local well-posedness of a periodic nonlinear equation for surface waves of moderate amplitude in...
In this article, we consider a nonlinear evolution equation for surface waves in shallow water over...
We present a comprehensive introduction and overview of a recently derived model equation for waves ...
In this work we are interested in the well-posedness issues for the initial value problem associated...
In this paper we prove that the already-established local well-posedness in the range s > -5/4 of...
AbstractThe focus of this paper is on the blow-up of a recently derived one-dimensional shallow wate...
A nonlinear shallow water equation, which includes the famous Camassa–Holm (CH) and Degasperis–Proce...
AbstractIn this paper we prove that the already-established local well-posedness in the range s>−5/4...
AbstractA nonlinear shallow water equation, which includes the famous Camassa–Holm (CH) and Degasper...
AbstractWe establish local well-posedness in the Sobolev space Hs with any s>32 for an integrable no...
We establish local well-posedness in the Sobolev space H with any s ? for an integrable nonlinea...
In this paper, we consider a kind of new nonlinear dispersive wave equation, which is generalized in...
AbstractIn this paper we consider the periodic Cauchy problem for a fifth order modification of the ...
In this paper we derive a new formulation of the water waves equa-tions with vorticity that generali...
The basic equations for wave motions are formed with the surface displacement-η and the velocity pot...