A. Esfahani, G. M. Muslu
Long time behavior of solutions to the generalized Boussinesq equation in Sobolev-type spaces
(submitted)
H. Borluk, G. M. Muslu, F. Natali
Stability of periodic waves for the defocusing fractional cubic nonlinear Schrödinger equation
Communications in Nonlinear Science and Numerical Simulation 133,107953 2024 link
A. Esfahani, S. Levandosky, G. M. Muslu
On the Kadomtsev-Petviashvili equation with double-power nonlinearities
Physica D: Nonlinear Phenomena 460, 134057 2024 link
M. C. Canak, G. M. Muslu
Error analysis of the exponential wave integrator sine pseudo-spectral method
for the higher-order Boussinesq equation
Numerical Algorithms 2024 link
G. E. B. Moraes, H. Borluk, G. de Loreno, G. M. Muslu, F. Natali
Orbital stability of periodic standing waves for the cubic fractional nonlinear
Schrodinger equation
Journal of Differential Equations 341, 263-291 2022 link
G. Oruc, F. Natali, H. Borluk, G. M. Muslu
On the stability of solitary wave solutions for a generalized fractional Benjamin-Bona-Mahony equation, Nonlinearity
35,1152-1169 2022 link
A. Demirci, Y. Hasanoglu, G. M. Muslu, C. Ozemir
On the Rosenau equation: Lie symmetries, periodic solutions and solitary wave solutions
Wave Motion 109, 102848 2022 link
S. Amaral, H. Borluk, G. M. Muslu, F. Natali, G. Oruc
On the existence, uniqueness and stability of periodic waves for the fractional
Benjamin-Bona-Mahony equation, Studies in Applied Mathematics 148, 62-98 2022
link
C. Su, G. M. Muslu
An exponential integrator sine pseudospectral method for the generalized improved Boussinesq equation
BIT Numerical Mathematics 61, 1397-1419 2021 link
G. Oruc, H. Borluk, G. M. Muslu
The Generalized Fractional Benjamin-Bona-Mahony Equation: Analytical and Numerical Results
Physica D: Nonlinear Phenomena 409, 132499 2020 link
G. M. Muslu, C-K Lin
WKB analysis for the three coupled long wave-short wave interaction equations
Applicable Analysis, 99, 9 2020 link
G. Oruc, G. M. Muslu
Existence and uniqueness of solutions to initial boundary value problem for the higher order Boussinesq equation
Nonlinear Analysis: Real World Applications 47, 436-445 2019 link
G. Oruc, E. Kesici, G. M. Muslu
A numerical study of the semi-classical limit for three-coupled long wave-short wave interaction equations
Numerical Methods for Partial Differential Equations 35, 993-1007 2019 link
G. M. Muslu, H. Borluk
Numerical solution for a general class of nonlocal nonlinear wave equations arising in elasticity
ZAMM Journal of Applied Mathematics and Mechanics 97 (12), 1600-1610 2017 link
G. M. Muslu
Numerical study of blow-up to the purely elliptic generalized Davey-Stewartson system
Journal of Computational and Applied Mathematics 317, 331-342 2017 link
G. Oruc, H. Borluk, G. M. Muslu
Higher order dispersive effects in regularized Boussinesq equation
Wave Motion 68 272-282 2017 link
H. Borluk, G. M. Muslu
A Fourier pseudospectral method for a generalized improved Boussinesq equation
Numerical Methods for Partial Differential Equations 31 (4), 995-1008 2015 link
H. A. Erbay, A. Erkip, G. M. Muslu
The Cauchy problem for a one-dimensional nonlinear elastic peridynamic model
Journal of Differential Equations 252 (8), 4392-4409 2012 link
G. M. Muslu, H. A. Erbay
Numerical simulation of blow-up solutions for the generalized Davey-Stewartson system
International Journal of Computer Mathematics 88 (4), 805-815 2011
link
A. Eden, H. A. Erbay, G. M. Muslu
Closing the gap in the purely elliptic generalized Davey-Stewartson system
Nonlinear Analysis: Theory, Methods & Applications 69 (8), 2575-2581 2008 link
H. Borluk, G. M. Muslu, H. A. Erbay
A numerical study of the long wave-short wave interaction equations
Mathematics and Computers in Simulation 74 (2-3), 113-125 2007 link
A. Eden, H. A. Erbay, G. M. Muslu
Two remarks on a generalized Davey-Stewartson system
Nonlinear Analysis: Theory, Methods & Applications 64 (5), 979-986 2006 link
G. M. Muslu, H. A. Erbay
Higher-order split-step Fourier schemes for the generalized nonlinear Schrodinger equation
Mathematics and Computers in Simulation 67 (6), 581-595 2005 link
G. M. Muslu, H. A. Erbay
A split-step Fourier method for the complex modified Korteweg-de Vries equation
Computers & Mathematics with Applications 45 (1-3), 503-514 2003 link