34 citations · 198 across the 24 of their papers we have counts for
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math.AP2014★ 14 cited
Instability and stability properties of traveling waves for the double dispersion equation
H. A. Erbay, S. Erbay, A. Erkip
In this article we are concerned with the instability and stability properties of traveling wave solutions of the double dispersion equation $~u_{tt} -u_{xx}+a u_{xxxx}-bu_{xxtt} =…
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…