41 citations · 48 across the 10 of their papers we have counts for
12 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 Ibragimov-Shabat equation
G. M. Coclite, L. di Ruvo
We consider the Ibragimov-Shabat equation, which contains nonlinear dispersive effects. We prove that as the diffusion parameter tends to zero, the solutions of the dispersive equa…
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…
Wellposedness of the Ostrovsky-Hunter equation Under the combined effects of dissipation and short wave dispersion
G. M. Coclite, L. di Ruvo
The Ostrovsky-Hunter equation provides a model for small-amplitude long waves in a rotating fluid of finite depth. It is a nonlinear evolution equation. In this paper we study the…
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…