2 citations · 2 across the 4 of their papers we have counts for
4 papers
Global Well-posedness for the Biharmonic Quintic Nonlinear Schrödinger Equation on
Engin Başakoğlu, T. Burak Gürel, Oğuz Yılmaz
We prove that the Cauchy problem for the 2D quintic defocusing biharmonic Schrödinger equation is globally well-posed in the Sobolev spaces for $\frac{8}{7}<s<2…
Smoothing and Global Attractors for the Hirota-Satsuma System on the Torus
Engin Başakoğlu, T. Burak Gürel
We consider the Hirota-Satsuma system, a coupled KdV-type system, with periodic boundary conditions. The first part of the paper concerns with the smoothing estimates for the syste…
The Fifth Order KP--II Equation on the Upper Half--plane
M. B. Erdogan, T. B. Gurel, N. Tzirakis
In this paper we study the fifth order Kadomtsev--Petviashvili II (KP--II) equation on the upper half-plane . In particular we obtain low regularity local…
Smoothing for the fractional Schrodinger equation on the torus and the real line
M. B. Erdogan, T. B. Gurel, N. Tzirakis
In this paper we study the cubic fractional nonlinear Schrodinger equation (NLS) on the torus and on the real line. Combining the normal form and the restricted norm methods we pro…