26 citations · 31 across the 3 of their papers we have counts for
3 papers
math-ph2022★ 1 cited
On the full dispersion Kadomtsev-Petviashvili equations for dispersive elastic waves
H. A. Erbay, S. Erbay, A. Erkip
Full dispersive models of water waves, such as the Whitham equation and the full dispersion Kadomtsev-Petviashvili (KP) equation, are interesting from both the physical and mathema…
math.AP2014★ 4 cited
Existence and Stability of Traveling Waves for a Class of Nonlocal Nonlinear Equations
H. A. Erbay, S. Erbay, A. Erkip
In this article we are concerned with the existence and orbital stability of traveling wave solutions of a general class of nonlocal wave equations: $ u_{tt}-Lu_{xx}=B(\pm |u|^{p-1…
math.AP2010★ 26 cited
Blow-up and global existence for a general class of nonlocal nonlinear coupled wave equations
N. Duruk, H. A. Erbay, A. Erkip
We study the initial-value problem for a general class of nonlinear nonlocal coupled wave equations. The problem involves convolution operators with kernel functions whose Fourier…