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math.AP2022★ 3 cited
A Comparison of Solutions of Two Convolution-Type Unidirectional Wave Equations
H. A. Erbay, S. Erbay, A. Erkip
In this work, we prove a comparison result for a general class of nonlinear dispersive unidirectional wave equations. The dispersive nature of one-dimensional waves occurs because…
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…