Prof. Dr. DOĞAN KAYA

Chaos, Solitons and Fractals , cilt.162, 2022 (SCI-Expanded)

Refraction simulation of internal solitary waves for the fractional Benjamin-Ono equation in fluid dynamics

Duran S., Yokuş A., Durur H., KAYA D.

Modern Physics Letters B , cilt.35, sa.26, 2021 (SCI-Expanded)

Breaking analysis of solitary waves for the shallow water wave system in fluid dynamics

Duran S., KAYA D.

European Physical Journal Plus , cilt.136, sa.9, 2021 (SCI-Expanded)

Comparison exact and numerical simulation of the traveling wave solution in nonlinear dynamics

Yokus A., KAYA D.

International Journal of Modern Physics B , cilt.34, sa.29, 2020 (SCI-Expanded)

Role of Gilson–Pickering equation for the different types of soliton solutions: a nonlinear analysis

Yokuş A., Durur H., Abro K. A., KAYA D.

European Physical Journal Plus , cilt.135, sa.8, 2020 (SCI-Expanded)

Symmetry analysis of initial and boundary value problems for fractional differential equations in Caputo sense

Chaos, Solitons and Fractals , cilt.134, 2020 (SCI-Expanded)

Lie group analysis for initial and boundary value problem of time-fractional nonlinear generalized KdV partial differential equation

KAYA D., İSKENDEROĞLU G.

Turkish Journal of Mathematics , cilt.43, sa.3, ss.1263-1275, 2019 (SCI-Expanded)

Solutions of the fractional combined KdV–mKdV equation with collocation method using radial basis function and their geometrical obstructions

KAYA D., Gülbahar S., Yokuş A., Gülbahar M.

Advances in Difference Equations , cilt.2018, sa.1, 2018 (SCI-Expanded)

Numerical solutions of the Fractional Kdv-Burgers-Kuramoto equation

KAYA D., Gulbahar S., Yokus A.

Thermal Science , cilt.22, 2018 (SCI-Expanded)

Comparison of three semi-analytical methods for solving (1+1)-dimensional dispersive long wave equations

Ugurlu Y., KAYA D., Inan I. E.

Computers and Mathematics with Applications , cilt.61, sa.5, ss.1278-1290, 2011 (SCI-Expanded)

Reply to Comment on 'Exact solutions to the various nonlinear evolution equations'

Physica Scripta , cilt.83, sa.1, 2011 (SCI-Expanded)

Auto-Bäcklund transformation and similarity reductions for coupled Burger's equation

Inan I. E., KAYA D., Ugurlu Y.

Applied Mathematics and Computation , cilt.216, sa.9, ss.2507-2511, 2010 (SCI-Expanded)

Exact solutions to the various nonlinear evolution equations

Abdel-Salam E. A., KAYA D.

Physica Scripta , cilt.79, sa.4, 2009 (SCI-Expanded)

Application of new triangular functions to nonlinear partial differential equations

Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences , cilt.64, sa.1-2, ss.1-7, 2009 (SCI-Expanded)

Existence, asymptotic behaviour, and blow up of solutions for a class of nonlinear wave equations with dissipative and dispersive terms

Polat N., KAYA D.

Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences , cilt.64, sa.5-6, ss.315-326, 2009 (SCI-Expanded)

Solutions of the Cahn-Hilliard equation

Ugurlu Y., KAYA D.

Computers and Mathematics with Applications , cilt.56, sa.12, ss.3038-3045, 2008 (SCI-Expanded)

Exact and numerical solutions of generalized Drinfeld-Sokolov equations

Ugurlu Y., KAYA D.

Physics Letters, Section A: General, Atomic and Solid State Physics , cilt.372, sa.16, ss.2867-2873, 2008 (SCI-Expanded)

Analytic method for solitary solutions of some partial differential equations

Uǧurlu Y., KAYA D.

Physics Letters, Section A: General, Atomic and Solid State Physics , cilt.370, sa.3-4, ss.251-259, 2007 (SCI-Expanded)

Exact solutions of some nonlinear partial differential equations

Inan I. E., KAYA D.

Physica A: Statistical Mechanics and its Applications , cilt.381, sa.1-2, ss.104-115, 2007 (SCI-Expanded)

A numerical comparison of a Kawahara equation

KAYA D., Al-Khaled K.

Physics Letters, Section A: General, Atomic and Solid State Physics , cilt.363, sa.5-6, ss.433-439, 2007 (SCI-Expanded)

A analytic and numerical solution to a modified Kawahara equation and a convergence analysis of the method

Polat N., KAYA D., Tutalar H. I.

Applied Mathematics and Computation , cilt.181, sa.1, ss.193-199, 2006 (SCI-Expanded)

A analytic and numerical solution to a modified Kawahara equation and a convergence analysis of the method

Polat N., KAYA D., Tutalar H. I.

Applied Mathematics and Computation , cilt.179, sa.2, ss.466-472, 2006 (SCI-Expanded)

Some exact solutions to the potential Kadomtsev-Petviashvili equation and to a system of shallow water wave equations

Inan I. E., KAYA D.

Physics Letters, Section A: General, Atomic and Solid State Physics , cilt.355, sa.4-5, ss.314-318, 2006 (SCI-Expanded)

A numerical solution and an exact explicit solution of the NLS equation

Applied Mathematics and Computation , cilt.172, sa.2 SPEC. ISS., ss.1315-1322, 2006 (SCI-Expanded)

The exact and numerical solitary-wave solutions for generalized modified Boussinesq equation

Physics Letters, Section A: General, Atomic and Solid State Physics , cilt.348, sa.3-6, ss.244-250, 2006 (SCI-Expanded)

Blow up of solution for the generalized Boussinesq equation with damping term

Polat N., KAYA D.

Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences , cilt.61, sa.5-6, ss.235-238, 2006 (SCI-Expanded)

A numerical implementation of the decomposition method for the Lienard equation

Applied Mathematics and Computation , cilt.171, sa.2, ss.1095-1103, 2005 (SCI-Expanded)

An application for a modified KdV equation by the decomposition method and finite element method

Geyikli T., KAYA D.

Applied Mathematics and Computation , cilt.169, sa.2, ss.971-981, 2005 (SCI-Expanded)

Parallel algorithms for reduction of a symmetric matrix to tridiagonal form on a shared memory multiprocessor

Applied Mathematics and Computation , cilt.169, sa.2, ss.1045-1062, 2005 (SCI-Expanded)

Comparison of the solutions obtained by B-spline FEM and ADM of KdV equation

Geyikli T., KAYA D.

Applied Mathematics and Computation , cilt.169, sa.1, ss.146-156, 2005 (SCI-Expanded)

A numerical application of the decomposition method for the combined KdV-MKdV equation

Applied Mathematics and Computation , cilt.168, sa.2, ss.915-926, 2005 (SCI-Expanded)

Exact and numerical traveling wave solutions of Whitham-Broer-Kaup equations

Applied Mathematics and Computation , cilt.167, sa.2, ss.1339-1349, 2005 (SCI-Expanded)

An implementation of the ADM for generalized one-dimensional Klein-Gordon equation

Applied Mathematics and Computation , cilt.166, sa.2, ss.426-433, 2005 (SCI-Expanded)

On experimental results and explicit exact solutions for the generalized Boussinesq type equation

Applied Mathematics and Computation , cilt.165, sa.2, ss.303-311, 2005 (SCI-Expanded)

Parallel algorithms for reduction of a general matrix to upper Hessenberg form on a shared memory multiprocessor

KAYA D., Wright K.

Applied Mathematics and Computation , cilt.165, sa.1, ss.195-212, 2005 (SCI-Expanded)

A decomposition method for finding solitary and periodic solutions for a coupled higher-dimensional Burgers equations

KAYA D., Yokus A.

Applied Mathematics and Computation , cilt.164, sa.3, ss.857-864, 2005 (SCI-Expanded)

Parallel algorithms for LU decomposition on a shared memory multiprocessor

KAYA D., Wright K.

Applied Mathematics and Computation , cilt.163, sa.1, ss.179-191, 2005 (SCI-Expanded)

The symmetric tridiagonal eigenproblem on a shared memory multiprocessor: Part II

Applied Mathematics and Computation , cilt.163, sa.1, ss.213-244, 2005 (SCI-Expanded)

Blow-up of solutions for the damped Boussinesq equation

Polat N., KAYA D., Tutalar H. I.

Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences , cilt.60, sa.7, ss.473-476, 2005 (SCI-Expanded)

An experience using different synchronisation mechanisms on a shared memory multiprocessors

Applied Mathematics and Computation , cilt.161, sa.3, ss.1027-1036, 2005 (SCI-Expanded)

A convergence analysis of the ADM and an application

Applied Mathematics and Computation , cilt.161, sa.3, ss.1015-1025, 2005 (SCI-Expanded)

An application of the modified decomposition method for two dimensional sine-Gordon equation

Applied Mathematics and Computation , cilt.159, sa.1, ss.1-9, 2004 (SCI-Expanded)

An application of the decompositionmethod for the two-dimensional KdV-Burgers equation

Computers and Mathematics with Applications , cilt.48, sa.10-11, ss.1659-1665, 2004 (SCI-Expanded)

On the numerical solution of the system of two-dimensional Burgers' equations by the decomposition method

Applied Mathematics and Computation , cilt.158, sa.1, ss.101-109, 2004 (SCI-Expanded)

Numerical comparison of methods for solving parabolic equations

Al-Khaled K., KAYA D., Noor M. A.

Applied Mathematics and Computation , cilt.157, sa.3, ss.735-743, 2004 (SCI-Expanded)

The decomposition method for solving (2 + 1)-dimensional Boussinesq equation and (3 + 1)-dimensional KP equation

Applied Mathematics and Computation , cilt.157, sa.2, ss.523-534, 2004 (SCI-Expanded)

An application of the ADM to seven-order Sawada-Kotara equations

Applied Mathematics and Computation , cilt.157, sa.1, ss.93-101, 2004 (SCI-Expanded)

A numerical solution of the Klein-Gordon equation and convergence of the decomposition method

Applied Mathematics and Computation , cilt.156, sa.2, ss.341-353, 2004 (SCI-Expanded)

A reliable method for the numerical solution of the kinetics problems

Applied Mathematics and Computation , cilt.156, sa.1, ss.261-270, 2004 (SCI-Expanded)

The symmetric tridigonal eigenproblem on a shared memory multiprocessor: Part I

Applied Mathematics and Computation , cilt.156, sa.1, ss.189-209, 2004 (SCI-Expanded)

Adomian's decomposition method applied to systems of nonlinear algebraic equations

Applied Mathematics and Computation , cilt.154, sa.2, ss.487-493, 2004 (SCI-Expanded)

Series solution to the Pochhammer-Chree equation and comparison with exact solutions

Shawagfeh N., KAYA D.

Computers and Mathematics with Applications , cilt.47, sa.12, ss.1915-1920, 2004 (SCI-Expanded)

Finite difference method for solving fourth-order obstacle problems

Al-SAID E. A., Noor M. A., KAYA D., Al-Khaled K.

International Journal of Computer Mathematics , cilt.81, sa.6, ss.741-748, 2004 (SCI-Expanded)

Solitary-wave solutions for compound KdV-type and compound KdV-Burgers-type equations with nonlinear terms of any order

Applied Mathematics and Computation , cilt.152, sa.3, ss.709-720, 2004 (SCI-Expanded)

Exact and numerical soliton solutions of some nonlinear physical models

Applied Mathematics and Computation , cilt.152, sa.2, ss.551-560, 2004 (SCI-Expanded)

A numerical simulation and explicit solutions of the generalized Burgers-Fisher equation

Applied Mathematics and Computation , cilt.152, sa.2, ss.403-413, 2004 (SCI-Expanded)

An application of the decomposition method for the KdVB equation

Applied Mathematics and Computation , cilt.152, sa.1, ss.279-288, 2004 (SCI-Expanded)

Exact and numerical traveling wave solutions for nonlinear coupled equations using symbolic computation

Applied Mathematics and Computation , cilt.151, sa.3, ss.775-787, 2004 (SCI-Expanded)

Comparing numerical methods for Helmholtz equation model problem

Applied Mathematics and Computation , cilt.150, sa.3, ss.763-773, 2004 (SCI-Expanded)

A numerical simulation of solitary-wave solutions of the generalized regularized long-wave equation

Applied Mathematics and Computation , cilt.149, sa.3, ss.833-841, 2004 (SCI-Expanded)

Solitary wave solutions for a generalized Hirota-Satsuma coupled KdV equation

Applied Mathematics and Computation , cilt.147, sa.1, ss.69-78, 2004 (SCI-Expanded)

The decomposition method applied to solve high-order linear Volterra-Fredholm integro-differential equations

El-Sayed S. M., KAYA D., Zarea S.

International Journal of Nonlinear Sciences and Numerical Simulation , cilt.5, sa.2, ss.105-112, 2004 (SCI-Expanded)

Comparing numerical methods for the solutions of systems of ordinary differential equations

Shawagfeh N., KAYA D.

Applied Mathematics Letters , cilt.17, sa.3, ss.323-328, 2004 (SCI-Expanded)

Numerical soliton-like solutions of the potential Kadomtsev-Petviashvili equation by the decomposition method

Physics Letters, Section A: General, Atomic and Solid State Physics , cilt.320, sa.2-3, ss.192-199, 2003 (SCI-Expanded)

A numerical method for solving Jaulent-Miodek equation

Physics Letters, Section A: General, Atomic and Solid State Physics , cilt.318, sa.4-5, ss.345-353, 2003 (SCI-Expanded)

A numerical solution of the sine-Gordon equation using the modified decomposition method

Applied Mathematics and Computation , cilt.143, sa.2-3, ss.309-317, 2003 (SCI-Expanded)

An explicit and numerical solutions of some fifth-order KdV equation by decomposition method

Applied Mathematics and Computation , cilt.144, sa.2-3, ss.353-363, 2003 (SCI-Expanded)

On the solution of the coupled Schrödinger-KdV equation by the decomposition method

Physics Letters, Section A: General, Atomic and Solid State Physics , cilt.313, sa.1-2, ss.82-88, 2003 (SCI-Expanded)

On a generalized fifth order KdV equations

Physics Letters, Section A: General, Atomic and Solid State Physics , cilt.310, sa.1, ss.44-51, 2003 (SCI-Expanded)

An application of the decomposition method for the generalized KdV and RLW equations

Chaos, Solitons and Fractals , cilt.17, sa.5, ss.869-877, 2003 (SCI-Expanded)

A numerical comparison of partial solutions in the decomposition method for linear and nonlinear partial differential equations

KAYA D., Yokus A.

Mathematics and Computers in Simulation , cilt.60, sa.6, ss.507-512, 2002 (SCI-Expanded)

An application for a generalized KdV equation by the decomposition method

KAYA D., Aassila M.

Physics Letters, Section A: General, Atomic and Solid State Physics , cilt.299, sa.2-3, ss.201-206, 2002 (SCI-Expanded)

The use of Adomian decomposition method for solving a specific nonlinear partial differential equations

Bulletin of the Belgian Mathematical Society - Simon Stevin , cilt.9, sa.3, ss.343-349, 2002 (SCI-Expanded)

Application of the decomposition method for second order wave equations

International Journal of Computer Mathematics , cilt.75, sa.2, ss.235-245, 2000 (SCI-Expanded)

On Local Solutions of a Mildly Degenerate Hyperbolic Equation

Aassila M., KAYA D.

Journal of Mathematical Analysis and Applications , cilt.238, sa.2, ss.418-428, 1999 (SCI-Expanded)

On the solution of a Korteweg-de Vries like equation by the decomposition method

International Journal of Computer Mathematics , cilt.72, sa.4, ss.531-539, 1999 (SCI-Expanded)

Diğer Dergilerde Yayınlanan Makaleler

Exploring the influence of layer and neuron configurations on Boussinesq equation solutions via a bilinear neural network framework

Isah M. A., Yokus A., Kaya D.

NONLINEAR DYNAMICS , cilt.112, ss.13361-13377, 2024 (Scopus)

Lie symmetry analysis of Caputo time-fractional K(m,n) model equations with variable coefficients

İskenderoğlu G., Kaya D.

SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES , cilt.42, sa.3, ss.885-899, 2024 (ESCI)

Numerical comparison of Caputo and Conformable derivatives of time fractional Burgers-Fisher equation

Yokus A., Durur H., Kaya D., Ahmad H., Nofal T. A.

Results in Physics , cilt.25, 2021 (Scopus)

Applications of the Sub Equation Method for the High Dimensional Nonlinear Evolution Equation

Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi , cilt.14, sa.3, ss.898-906, 2021 (Hakemli Dergi)

Modeling of dark solitons for nonlinear longitudinal wave equation in a magneto-electro-elastic circular rod

Durur H., Yokuş A., Kaya D., Ahmad H.

Sound and Vibration , cilt.55, sa.3, ss.241-251, 2021 (ESCI)

Düzenli Uzun Dalga Denkleminin Hiperbolik Tip Yürüyen Dalga Çözümleri

H., YOKUŞ A., KAYA D.

Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi , cilt.7, sa.2, ss.815-824, 2020 (Hakemli Dergi)

Symmetry Analysis and Conservation Laws of the Boundary Value Problems for Time-Fractional Generalized Burgers’ Differential Equation

ISKENDEROGLU G., KAYA D.

Fundamental journal of mathematics and applications (Online) , cilt.2, sa.2, ss.139-147, 2019 (Hakemli Dergi)

ON LIE GROUP ANALYSIS OF BOUNDARY VALUE PROBLEM WITH CAPUTO FRACTIONAL DERIVATIVE

İskenderoğlu G., Kaya D.

Sigma Journal of Engineering and Natural Sciences , cilt.10, ss.369-376, 2019 (Scopus)

New Wave Solutions for Nonlinear Differential Equations using an Extended Bernoulli Equation as a New Expansion Method

ITM , cilt.22, ss.1-5, 2018 (Hakemli Dergi)

Symmetry solution on fractional equation

An International Journal of Optimization and Control: Theories & Applications (IJOCTA) , cilt.7, sa.3, ss.255-259, 2017 (Hakemli Dergi)

A review of the semi analytic numerical methods for higher order nonlinear partial equations

Contemporary Analysis and Applied M athematics , cilt.3, sa.1, ss.133-152, 2015 (Hakemli Dergi)

Applications of a new expansion method for finding wave solutions of nonlinear differential equations

Duran S., KAYA D.

World Applied Sciences Journal , cilt.18, sa.11, ss.1582-1592, 2012 (Scopus)

An application for the higher order modified KdV equation by decomposition method

Communications in Nonlinear Science and Numerical Simulation , cilt.10, sa.6, ss.693-702, 2005 (Scopus)

Explicit solutions of generalized nonlinear Boussinesq equations

Journal of Applied Mathematics , cilt.1, sa.1, ss.29-37, 2001 (Scopus)

Hakemli Kongre / Sempozyum Bildiri Kitaplarında Yer Alan Yayınlar

Euler-Bernoulli beam equation: invariant equations and solutions

ICAAM 2022, Türkiye, 31 Ekim - 06 Kasım 2022

On Lie group analysis of boundary value problem with Caputo fractional derivative

ICOMAA 2019, Türkiye, 3 - 05 Mayıs 2019

An Application for Sharma-Tasso-Olver Equations by Using Auto-Bäcklund Transformation

KAYA D., YOKUŞ A., Demiroğlu U.

International Conference on Applied Mathematics in Engineering (ICAME) Balikesir, Turkey, 27 - 29 Eylül 2018

Symmetry Analysis and Conservation Laws of the Boundary Value Problems for Time-Fractional Generalized Burgers' Differential Equation

ICAA 2018, Türkiye, 11 - 14 Eylül 2018

An application for time-fractional K(m,m) model equations by symmetry method

ICAAM 2018, Kıbrıs (Kktc), 6 - 09 Eylül 2018

An Implementation of Auto-Bäcklund Transformation

YOKUŞ A., KAYA D., Demiroğlu U.

International Conference on Applied Mathematics in Engineering (ICAME), 27 - 29 Eylül 2018

Applications of a New Expansion Method for Finding Wave Solutions of Nonlinear Differential Equations

International Conference on Applied Mathematics in Engineering (ICAME), Balıkesir, Türkiye, 27 - 29 Haziran 2018, ss.155

Lie Group Analysis and Galilean Group Analysis for Partial Differential Equations

ICOMAA 2018, Türkiye, 11 - 13 Mayıs 2018

A Study on Finding Exact Solutions for the System of Shallow Water Wave equation using Extended Bernoulli Sub-Equation method

3rd International Conference on Computational Mathematics and Engineering Sciences (CMES2018), Girne, Kıbrıs (Kktc), 4 - 06 Mayıs 2018, ss.311

Symmetry solution on fractional equation

CMES-2017, Türkiye, 20 - 22 Mayıs 2017

Group analysis method for time-fractional nonlinear generalized Burgers differential equation