3 citations · 4 across the 6 of their papers we have counts for
6 papers
A singular limit problem for the Rosenau-Korteweg-de Vries-regulared long wave and Rosenau-korteweg-de Viers equation
G. M. Coclite, L. di Ruvo
We consider the Rosenau-Korteweg-de Vries-regularized long wave and Rosenau- Korteweg-de Vries equations, which contain nonlinear dispersive effects. We prove that, as the diffusio…
A singular limit problem for the Kudryashov-Sinelshchikov equation
G. M. Coclite, L. di Ruvo
We consider the Kudryashov-Sinelshchikov equation, which contains nonlinear dispersive effects. We prove that as the diffusion parameter tends to zero, the solutions of the dispers…
Dispersive and diffisive limts for Otrovsky-Hunter type equation
G. M. Coclite, L. di Ruvo
We consider the Ostrovsky-Hunter type equation that includes the short pulse. We con- sider here the asymptotic behavior as gamma goes to 0. The proof relies on deriving suitable a…
On the wellposedness of the exp-Rabelo equation
G. M. Coclite, L. di Ruvo
The exp-Rabelo equation describes pseudo-spherical surfaces. It is a nonlinear evolution equation. In this paper the wellposedness of bounded from above solutions for the initial v…
Wellposedness of bounded solutions of the non-homogeneous initial boundary for the short pulse equation
G. M. Coclite, L. di Ruvo
The short pulse equation provides a model for the propagation of the ultra-short light pulse in silica optical fibers It is a nonlinear evolution equation. In this paper the wellpo…
Convergence of the regularized short pulse equation to the short pulse one
Giuseppe Maria Coclite, Lorenzo di Ruvo
We consider the regularized short-pulse equation, which contains nonlinear dis- persive effects. We prove that as the diffusion parameter tends to zero, the solutions of the disper…