Add to ORKGIn this poster, well-posedness in C^1(R) (a.k.a. classical solutions) for a generalized Camassa- Holm equation (g-kbCH) having (k + 1)-degree nonlinearities is explored. This result holds for the Camassa-Holm, the Degasperi-Procesi and the Novikov equations, which improves upon earlier results in Sobolev and Besov spaces
AbstractThe Camassa–Holm equation can be viewed as the geodesic equation on some diffeomorphism grou...
This paper mainly proves the generic properties of the Camassa-Holm equation and the two-component C...
New existence and localization results for the nonlinear wave equation are established by means of t...
This work is concerned with the Benjamin-Bona-Mahony equation. This model was deduced as an approxim...
AbstractIn this note, we investigate the problem of well-posedness for a shallow water equation with...
AbstractWe consider the subcritical generalized Korteweg–de Vries equationut+(uxx+u4)x=0,t,x∈R. Let ...
AbstractWe consider the local and global existence of solutions for a generalized Boussinesq equatio...
In this paper, we study an integrable Camassa-Holm (CH) type equation with quadratic nonlinearity. T...
AbstractWe prove an “almost conservation law” to obtain global-in-time well-posedness for the nonlin...
AbstractA nonlinear shallow water equation, which includes the famous Camassa–Holm (CH) and Degasper...
From the works of authors of this article, it is known that the solution of the Ermakov equation is ...
AbstractIn this paper the existence and uniqueness of solutions for a class of semilinear parabolic ...
International audienceIt was recently proven by De Lellis, Kappeler, and Topalov that the periodic C...
Abstract We find global solutions of algebro geometric type for all the equations of...
summary:We present an overview of some contributions of the author regarding Camassa--Holm type equa...
AbstractThe Camassa–Holm equation can be viewed as the geodesic equation on some diffeomorphism grou...
This paper mainly proves the generic properties of the Camassa-Holm equation and the two-component C...
New existence and localization results for the nonlinear wave equation are established by means of t...
This work is concerned with the Benjamin-Bona-Mahony equation. This model was deduced as an approxim...
AbstractIn this note, we investigate the problem of well-posedness for a shallow water equation with...
AbstractWe consider the subcritical generalized Korteweg–de Vries equationut+(uxx+u4)x=0,t,x∈R. Let ...
AbstractWe consider the local and global existence of solutions for a generalized Boussinesq equatio...
In this paper, we study an integrable Camassa-Holm (CH) type equation with quadratic nonlinearity. T...
AbstractWe prove an “almost conservation law” to obtain global-in-time well-posedness for the nonlin...
AbstractA nonlinear shallow water equation, which includes the famous Camassa–Holm (CH) and Degasper...
From the works of authors of this article, it is known that the solution of the Ermakov equation is ...
AbstractIn this paper the existence and uniqueness of solutions for a class of semilinear parabolic ...
International audienceIt was recently proven by De Lellis, Kappeler, and Topalov that the periodic C...
Abstract We find global solutions of algebro geometric type for all the equations of...
summary:We present an overview of some contributions of the author regarding Camassa--Holm type equa...
AbstractThe Camassa–Holm equation can be viewed as the geodesic equation on some diffeomorphism grou...
This paper mainly proves the generic properties of the Camassa-Holm equation and the two-component C...
New existence and localization results for the nonlinear wave equation are established by means of t...