7 citations · 8 across the 3 of their papers we have counts for
3 papers
math.AP2024
Smoothing estimates for weakly nonlinear internal waves in a rotating ocean
M. B. Erdogan, N. Tzirakis
In this paper we study the effect of rotation on nonlinear wave phenomena in weakly dispersive media modeled by the Korteweg-de Vries equation on the real line. It is well known th…
math-ph2010★ 7 cited
Nearly linear dynamics of nonlinear dispersive waves
M. B. Erdogan, N. Tzirakis, V. Zharnitsky
Dispersive averaging effects are used to show that KdV equation with periodic boundary conditions possesses high frequency solutions which behave nearly linearly. Numerical simulat…
physics.flu-dyn2010★ 1 cited
Near-linear Dynamics for Shallow Water Waves
M. B. Erdogan, N. Tzirakis, V. Zharnitsky
It is shown that spatially periodic one-dimensional surface waves in shallow water behave almost linearly, provided large part of the energy is contained in sufficiently high frequ…