# Items where Author is "Erkip, Albert"

**32**.

## 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, H. A. and Erbay, S. and Erkip, Albert
(2022)
*On the full dispersion Kadomtsev–Petviashvili equations for dispersive elastic waves.*
Wave Motion, 114
.
ISSN 0165-2125 (Print) 1878-433X (Online)

Erbay, S. and Erkip, Albert and Kuruk, Gamze
(2022)
*The Camassa-Holm approximation to the double dispersion equation for arbitrarily long times.*
Monatshefte fur Mathematik, 199
(1).
pp. 97-111.
ISSN 0026-9255 (Print) 1436-5081 (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, H. A. and Erbay, S. and Erkip, Albert
(2021)
*On the convergence of the nonlocal nonlinear model to the classical elasticity equation.*
Physica D: Nonlinear Phenomena, 427
.
ISSN 0167-2789 (Print) 1872-8022 (Online)

Erbay, H. A. and Erbay, S. and Erkip, Albert
(2021)
*A semi-discrete numerical method for convolution-type unidirectional wave equations.*
Journal of Computational and Applied Mathematics (SI), 387
.
ISSN 0377-0427 (Print) 1879-1778 (Online)

Hacisuleyman, Aysima and Erkip, Albert and Erman, Batu and Erman, Burak
(2021)
*Synchronous and asynchronous response in dynamically perturbed proteins.*
Journal of Physical Chemistry B, 125
(3).
pp. 729-739.
ISSN 1520-6106 (Print) 1520-5207 (Online)

Erbay, Hüsnü Ata and Erkip, Albert and Şengül Tezel, Yasemin
(2020)
*Local existence of solutions to the initial-value problem for one-dimensional strain-limiting viscoelasticity.*
Journal of Differential Equations, 269
(11).
pp. 9720-9739.
ISSN 0022-0396 (Print) 1090-2732 (Online)

Erbay, H. A. and Erbay, S. and Erkip, Albert
(2020)
*Comparison of nonlocal nonlinear wave equations in the long-wave limit.*
Applicable Analysis, 99
(15).
pp. 2670-2679.
ISSN 0003-6811 (Print) 1563-504X (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)

Erkip, Albert and Ramadan, Abba Ibrahim
(2017)
*Existence of traveling waves for a class of nonlocal nonlinear equations with bell shaped kernels.*
Communications on Pure and Applied Analysis, 16
(6).
2125 -2132.
ISSN 1534-0392 (Print) 1553-5258 (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, H. A. and Erbay, S. and Erkip, Albert
(2016)
*Instability and stability properties of traveling waves for the double dispersion equation.*
Nonlinear Analysis: Theory, Methods & Applications, 133
.
pp. 1-14.
ISSN 0362-546X (Print) 1873-5215 (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, H. A. and Erbay, S. and Erkip, Albert
(2014)
*Thresholds for global existence and blow-up in a general class of doubly dispersive nonlocal wave equations.*
Nonlinear Analysis: Theory, Methods & Applications, 95
.
pp. 313-322.
ISSN 0362-546X

Babaoğlu, Ceni and Erbay, Hüsnü A. and Erkip, Albert
(2013)
*Global existence and blow-up of solutions for a general class of doubly dispersive nonlocal nonlinear wave equations.*
Nonlinear Analysis: Theory, Methods & Applications, 77
.
pp. 82-93.
ISSN 0362-546X

Erbay, Hüsnü A. and Erkip, Albert and Muslu, Gülçin M.
(2012)
*The Cauchy problem for a one dimensional nonlinear elastic peridynamic model.*
Journal of Differential Equations, 252
(8).
pp. 4392-4409.
ISSN 0022-0396

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

Duruk Mutlubaş, Nilay and Erbay, Hüsnü Ata and Erkip, Albert
(2011)
*Blow-up and global existence for a general class of nonlocal nonlinear coupled wave equations.*
Journal of Differential Equations, 250
(3).
pp. 1448-1459.
ISSN 0022-0396

Duruk, Nilay and Erbay, Hüsnü A. and Erkip, Albert
(2010)
*Global existence and blow-up for a class of nonlocal nonlinear Cauchy problems arising in elasticity.*
Nonlinearity, 23
(1).
pp. 107-118.
ISSN 0951-7715

Duruk, Nilay and Erkip, Albert and Erbay, Hüsnü A.
(2009)
*A higher-order Boussinesq equation in locally non-linear theory of one-dimensional non-local elasticity.*
IMA Journal of applied mathematics, 74
(1).
pp. 97-106.
ISSN 0272-4960

Erkip, Albert and Erman, Burak
(2004)
*Dynamics of large-scale fluctuations in native proteins. Analysis based on harmonic inter-residue potentials and random external noise.*
Polymer, 45
(2).
pp. 641-648.
ISSN 0032-3861

Erkip, Albert and Erman, Burak and Seok, Chaok and Dil, Ken
(2002)
*Parameter optimization for the Gaussian model of protein folding.*
Polymer, 43
(2).
pp. 495-501.
ISSN 0032-3861

## 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

Duruk, Nilay and Erkip, Albert and Erbay, Hüsnü A.
(2007)
*Cauchy problem for a higher-order Boussinesq equation.*
In: 6th International Congress on Industrial and Applied Mathematics (ICIAM 07),
Zurich