# Items where Author is "Erbay, Saadet"

**14**.

## Article

Erbay, Hüsnü Ata and Erbay, Saadet and Erkip, Albert
(2023)
*Convergence of a linearly regularized nonlinear wave equation to the p-system.*
Turkish Journal of Mathematics, 47
(3).
pp. 1003-1014.
ISSN 1300-0098 (Print) 1303-6149 (Online)

Erbay, Hüsnü A. and Erbay, Saadet and Erkip, Albert
(2022)
*A comparison of solutions of two convolution-type unidirectional wave equations.*
Applicable Analysis
.
ISSN 0003-6811 (Print) 1563-504X (Online)
Published Online First http://dx.doi.org/10.1080/00036811.2022.2118117

Erbay, Hüsnü Ata and Erbay, Saadet and Erkip, Albert
(2022)
*A semi-discrete numerical scheme for nonlocally regularized KdV-type equations.*
Applied Numerical Mathematics, 175
.
pp. 29-39.
ISSN 0168-9274 (Print) 1873-5460 (Online)

Erbay, Hüsnü Ata and Erbay, Saadet and Erkip, Albert
(2020)
*Numerical computation of solitary wave solutions of the Rosenau equation.*
Wave Motion, 98
.
ISSN 0165-2125 (Print) 1878-433X (Online)

Erbay, Hüsnü A. and Erbay, Saadet and Erkip, Albert
(2019)
*Long-time existence of solutions to nonlocal nonlinear bidirectional wave equations.*
Discrete and Continuous Dynamical Systems, 39
(5).
pp. 2877-2891.
ISSN 1078-0947 (Print) 1553-5231 (Online)

Erbay, Hüsnü A. and Erbay, Saadet and Erkip, Albert
(2018)
*Convergence of a semi-discrete numerical method for a class of nonlocal nonlinear wave equations.*
ESAIM: Mathematical Modelling and Numerical Analysis, 52
(3).
pp. 803-826.
ISSN 0764-583X (Print) 1290-3841 (Online)

Erbay, Hüsnü A. and Erbay, Saadet and Erkip, Albert
(2017)
*On the decoupling of the improved boussinesq equation into two uncoupled Camassa-Holm equations.*
Discrete and Continuous Dynamical Systems, 37
(6).
pp. 3111-3122.
ISSN 1078-0947 (Print) 1553-5231 (Online)

Erbay, Hüsnü Ata and Erbay, Saadet and Erkip, Albert
(2016)
*The Camassa-Holm equation as the long-wave limit of the improved Boussinesq equation and of a class of nonlocal wave equations.*
Discrete and Continuous Dynamical Systems, 36
(11).
pp. 6101-6116.
ISSN 1078-0947 (Print) 1553-5231 (Online)

Erbay, Hüsnü Ata and Erbay, Saadet and Erkip, Albert
(2016)
*Derivation of generalized Camassa-Holm equations from Boussinesq-type equations.*
Journal of Nonlinear Mathematical Physics, 23
(3).
pp. 314-322.
ISSN 1402-9251 (Print) 1776-0852 (Online)

Erbay, Hüsnü Ata and Erbay, Saadet and Erkip, Albert
(2015)
*Derivation of the Camassa-Holm equations for elastic waves.*
Physics Letters A, 379
(12-13).
pp. 956-961.
ISSN 0375-9601 (Print) 1873-2429 (Online)

Erbay, Hüsnü A. and Erbay, Saadet and Erkip, Albert
(2015)
*Existence and stability of traveling waves for a class of nonlocal nonlinear equations.*
Journal of Mathematical Analysis and Applications, 425
(1).
pp. 307-336.
ISSN 0022-247X (Print) 1096-0813 (Online)

Erbay, Hüsnü A. and Erbay, Saadet and Erkip, Albert
(2011)
*The Cauchy problem for a class of two-dimensional nonlocal nonlinear wave equations governing anti-plane shear motions in elastic materials.*
Nonlinearity, 24
(4).
pp. 1347-1359.
ISSN 0951-7715

## Papers in Conference Proceedings

Erbay, Hüsnü Ata and Erbay, Saadet and Erkip, Albert
(2015)
*Some remarks on the stability and instability properties of solitary waves
for the double dispersion equation.*
In: IUTAM Symposium on the Complexity of Nonlinear Waves,
Talinn, Estonia

Erbay, Hüsnü Ata and Erbay, Saadet and Erkip, Albert
(2015)
*Unidirectional wave motion in a nonlocally and nonlinearly elastic medium:
the KdV, BBM, and CH equations.*
In: IUTAM Symposium on the Complexity of Nonlinear Waves,
Talinn, Estonia