Starting from the Korteweg de Vries equation, a precise model is developed of the decomposition of cnoidal waves into associated solitons
Abstract. The three-dimensional power Korteweg-de Vries equation [ut+unux+uxxx]x +uyy +uzz = 0, is c...
Abstract. The three-dimensional power Korteweg-de Vries equation [ut+unux+uxxx]x +uyy +uzz = 0, is c...
By introducing in the hydrodynamic model, i.e. in the hydrodynamic equa-tions and the corresponding ...
Abstract. The uniformly damped Korteweg{de Vries (KdV) equation with periodic boundary conditions ca...
The uniformly damped Korteweg--de Vries (KdV) equation with periodic boundary conditions can be view...
The uniformly damped Korteweg¿de Vries (KdV) equation with periodic boundary conditions can be viewe...
Localized patterns and nonlinear oscillation formation on the bounded free surface of an ideal incom...
Earlier work of the author on the spatially periodic solutions of the Korteweg–de Vries equation is ...
Double cnoidal waves of the Korteweg-de Vries equation are studied by direct solution of the nonline...
International audienceThe nonlinear dynamics of cnoidal waves, within the context of the general N-c...
The nanopteron, which is a permanent but weakly nonlocal soliton, has been an interesting topic in n...
Localized patterns and nonlinear oscillation formation on the bounded free surface of an ideal incom...
We establish the nonlinear stability of solitary waves (solitons) and periodic traveling wave soluti...
We establish the nonlinear stability of solitary waves (solitons) and periodic traveling wave soluti...
Abstract. The three-dimensional power Korteweg-de Vries equation [ut+unux+uxxx]x +uyy +uzz = 0, is c...
Abstract. The three-dimensional power Korteweg-de Vries equation [ut+unux+uxxx]x +uyy +uzz = 0, is c...
Abstract. The three-dimensional power Korteweg-de Vries equation [ut+unux+uxxx]x +uyy +uzz = 0, is c...
By introducing in the hydrodynamic model, i.e. in the hydrodynamic equa-tions and the corresponding ...
Abstract. The uniformly damped Korteweg{de Vries (KdV) equation with periodic boundary conditions ca...
The uniformly damped Korteweg--de Vries (KdV) equation with periodic boundary conditions can be view...
The uniformly damped Korteweg¿de Vries (KdV) equation with periodic boundary conditions can be viewe...
Localized patterns and nonlinear oscillation formation on the bounded free surface of an ideal incom...
Earlier work of the author on the spatially periodic solutions of the Korteweg–de Vries equation is ...
Double cnoidal waves of the Korteweg-de Vries equation are studied by direct solution of the nonline...
International audienceThe nonlinear dynamics of cnoidal waves, within the context of the general N-c...
The nanopteron, which is a permanent but weakly nonlocal soliton, has been an interesting topic in n...
Localized patterns and nonlinear oscillation formation on the bounded free surface of an ideal incom...
We establish the nonlinear stability of solitary waves (solitons) and periodic traveling wave soluti...
We establish the nonlinear stability of solitary waves (solitons) and periodic traveling wave soluti...
Abstract. The three-dimensional power Korteweg-de Vries equation [ut+unux+uxxx]x +uyy +uzz = 0, is c...
Abstract. The three-dimensional power Korteweg-de Vries equation [ut+unux+uxxx]x +uyy +uzz = 0, is c...
Abstract. The three-dimensional power Korteweg-de Vries equation [ut+unux+uxxx]x +uyy +uzz = 0, is c...
By introducing in the hydrodynamic model, i.e. in the hydrodynamic equa-tions and the corresponding ...