Prof. DOĞAN KAYA

Chaos, Solitons and Fractals , vol.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 , vol.35, no.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 , vol.136, no.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 , vol.34, no.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 , vol.135, no.8, 2020 (SCI-Expanded)

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

Chaos, Solitons and Fractals , vol.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 , vol.43, no.3, pp.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 , vol.2018, no.1, 2018 (SCI-Expanded)

Numerical solutions of the Fractional Kdv-Burgers-Kuramoto equation

KAYA D., Gulbahar S., Yokus A.

Thermal Science , vol.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 , vol.61, no.5, pp.1278-1290, 2011 (SCI-Expanded)

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

Physica Scripta , vol.83, no.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 , vol.216, no.9, pp.2507-2511, 2010 (SCI-Expanded)

Exact solutions to the various nonlinear evolution equations

Abdel-Salam E. A., KAYA D.

Physica Scripta , vol.79, no.4, 2009 (SCI-Expanded)

Application of new triangular functions to nonlinear partial differential equations

Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences , vol.64, no.1-2, pp.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 , vol.64, no.5-6, pp.315-326, 2009 (SCI-Expanded)

Solutions of the Cahn-Hilliard equation

Ugurlu Y., KAYA D.

Computers and Mathematics with Applications , vol.56, no.12, pp.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 , vol.372, no.16, pp.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 , vol.370, no.3-4, pp.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 , vol.381, no.1-2, pp.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 , vol.363, no.5-6, pp.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 , vol.181, no.1, pp.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 , vol.179, no.2, pp.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 , vol.355, no.4-5, pp.314-318, 2006 (SCI-Expanded)

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

Applied Mathematics and Computation , vol.172, no.2 SPEC. ISS., pp.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 , vol.348, no.3-6, pp.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 , vol.61, no.5-6, pp.235-238, 2006 (SCI-Expanded)

A numerical implementation of the decomposition method for the Lienard equation

Applied Mathematics and Computation , vol.171, no.2, pp.1095-1103, 2005 (SCI-Expanded)

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

Applied Mathematics and Computation , vol.169, no.2, pp.1045-1062, 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 , vol.169, no.2, pp.971-981, 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 , vol.169, no.1, pp.146-156, 2005 (SCI-Expanded)

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

Applied Mathematics and Computation , vol.168, no.2, pp.915-926, 2005 (SCI-Expanded)

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

Applied Mathematics and Computation , vol.167, no.2, pp.1339-1349, 2005 (SCI-Expanded)

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

Applied Mathematics and Computation , vol.166, no.2, pp.426-433, 2005 (SCI-Expanded)

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

Applied Mathematics and Computation , vol.165, no.2, pp.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 , vol.165, no.1, pp.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 , vol.164, no.3, pp.857-864, 2005 (SCI-Expanded)

Parallel algorithms for LU decomposition on a shared memory multiprocessor

KAYA D., Wright K.

Applied Mathematics and Computation , vol.163, no.1, pp.179-191, 2005 (SCI-Expanded)

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

Applied Mathematics and Computation , vol.163, no.1, pp.213-244, 2005 (SCI-Expanded)

A convergence analysis of the ADM and an application

Applied Mathematics and Computation , vol.161, no.3, pp.1015-1025, 2005 (SCI-Expanded)

An experience using different synchronisation mechanisms on a shared memory multiprocessors

Applied Mathematics and Computation , vol.161, no.3, pp.1027-1036, 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 , vol.60, no.7, pp.473-476, 2005 (SCI-Expanded)

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

Applied Mathematics and Computation , vol.159, no.1, pp.1-9, 2004 (SCI-Expanded)

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

Computers and Mathematics with Applications , vol.48, no.10-11, pp.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 , vol.158, no.1, pp.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 , vol.157, no.3, pp.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 , vol.157, no.2, pp.523-534, 2004 (SCI-Expanded)

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

Applied Mathematics and Computation , vol.157, no.1, pp.93-101, 2004 (SCI-Expanded)

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

Applied Mathematics and Computation , vol.156, no.2, pp.341-353, 2004 (SCI-Expanded)

A reliable method for the numerical solution of the kinetics problems

Applied Mathematics and Computation , vol.156, no.1, pp.261-270, 2004 (SCI-Expanded)

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

Applied Mathematics and Computation , vol.156, no.1, pp.189-209, 2004 (SCI-Expanded)

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

Applied Mathematics and Computation , vol.154, no.2, pp.487-493, 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 , vol.81, no.6, pp.741-748, 2004 (SCI-Expanded)

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

Shawagfeh N., KAYA D.

Computers and Mathematics with Applications , vol.47, no.12, pp.1915-1920, 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 , vol.152, no.3, pp.709-720, 2004 (SCI-Expanded)

Exact and numerical soliton solutions of some nonlinear physical models

Applied Mathematics and Computation , vol.152, no.2, pp.551-560, 2004 (SCI-Expanded)

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

Applied Mathematics and Computation , vol.152, no.2, pp.403-413, 2004 (SCI-Expanded)

An application of the decomposition method for the KdVB equation

Applied Mathematics and Computation , vol.152, no.1, pp.279-288, 2004 (SCI-Expanded)

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

Applied Mathematics and Computation , vol.151, no.3, pp.775-787, 2004 (SCI-Expanded)

Comparing numerical methods for Helmholtz equation model problem

Applied Mathematics and Computation , vol.150, no.3, pp.763-773, 2004 (SCI-Expanded)

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

Applied Mathematics and Computation , vol.149, no.3, pp.833-841, 2004 (SCI-Expanded)

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

Applied Mathematics and Computation , vol.147, no.1, pp.69-78, 2004 (SCI-Expanded)

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

Shawagfeh N., KAYA D.

Applied Mathematics Letters , vol.17, no.3, pp.323-328, 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 , vol.5, no.2, pp.105-112, 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 , vol.320, no.2-3, pp.192-199, 2003 (SCI-Expanded)

A numerical method for solving Jaulent-Miodek equation

Physics Letters, Section A: General, Atomic and Solid State Physics , vol.318, no.4-5, pp.345-353, 2003 (SCI-Expanded)

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

Applied Mathematics and Computation , vol.143, no.2-3, pp.309-317, 2003 (SCI-Expanded)

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

Applied Mathematics and Computation , vol.144, no.2-3, pp.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 , vol.313, no.1-2, pp.82-88, 2003 (SCI-Expanded)

On a generalized fifth order KdV equations

Physics Letters, Section A: General, Atomic and Solid State Physics , vol.310, no.1, pp.44-51, 2003 (SCI-Expanded)

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

Chaos, Solitons and Fractals , vol.17, no.5, pp.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 , vol.60, no.6, pp.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 , vol.299, no.2-3, pp.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 , vol.9, no.3, pp.343-349, 2002 (SCI-Expanded)

Application of the decomposition method for second order wave equations

International Journal of Computer Mathematics , vol.75, no.2, pp.235-245, 2000 (SCI-Expanded)

On Local Solutions of a Mildly Degenerate Hyperbolic Equation

Aassila M., KAYA D.

Journal of Mathematical Analysis and Applications , vol.238, no.2, pp.418-428, 1999 (SCI-Expanded)

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

International Journal of Computer Mathematics , vol.72, no.4, pp.531-539, 1999 (SCI-Expanded)

Articles Published in Other Journals

BILINEAR NEURAL NETWORK METHOD FOR OBTAINING THE EXACT ANALYTICAL SOLUTIONS TO NONLINEAR EVOLUTION EQUATIONS AND ITS APPLICATION TO KdV EQUATION

Isah M. A., Yokuş A., Kaya D.

Khayyam Journal of Mathematics , vol.10, no.2, pp.228-248, 2024 (Scopus)

Bilinear neural network method for obtaining the exact analytical solutions to nonlinear evolution equations and its application to KdV equation

ISAH M. A., YOKUŞ A., KAYA D.

Khayyam Journal of Mathematics , 2024 (Peer-Reviewed Journal)

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 , vol.42, no.3, pp.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 , vol.25, 2021 (Scopus)

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

Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi , vol.14, no.3, pp.898-906, 2021 (Peer-Reviewed Journal)

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 , vol.55, no.3, pp.241-251, 2021 (ESCI)

Hyperbolic Type Traveling Wave Solutions of Regularized Long Wave Equation

H., YOKUŞ A., KAYA D.

Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi , vol.7, no.2, pp.815-824, 2020 (Peer-Reviewed Journal)

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) , vol.2, no.2, pp.139-147, 2019 (Peer-Reviewed Journal)

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

İskenderoğlu G., Kaya D.

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

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

ITM , vol.22, pp.1-5, 2018 (Peer-Reviewed Journal)

Symmetry solution on fractional equation

An International Journal of Optimization and Control: Theories & Applications (IJOCTA) , vol.7, no.3, pp.255-259, 2017 (Peer-Reviewed Journal)

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

Contemporary Analysis and Applied M athematics , vol.3, no.1, pp.133-152, 2015 (Peer-Reviewed Journal)

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

Duran S., KAYA D.

World Applied Sciences Journal , vol.18, no.11, pp.1582-1592, 2012 (Scopus)

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

Communications in Nonlinear Science and Numerical Simulation , vol.10, no.6, pp.693-702, 2005 (Scopus)

Explicit solutions of generalized nonlinear Boussinesq equations

Journal of Applied Mathematics , vol.1, no.1, pp.29-37, 2001 (Scopus)

Papers Presented at Peer-Reviewed Scientific Conferences

Euler-Bernoulli beam equation: invariant equations and solutions

ICAAM 2022, Turkey, 31 October - 06 November 2022, (Summary Text)

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

ICOMAA 2019, Turkey, 3 - 05 May 2019, (Summary Text)

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 September 2018, (Full Text)

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

ICAA 2018, Turkey, 11 - 14 September 2018, (Summary Text)

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

ICAAM 2018, Cyprus (Kktc), 6 - 09 September 2018, (Summary Text)

An Implementation of Auto-Bäcklund Transformation

YOKUŞ A., KAYA D., Demiroğlu U.

International Conference on Applied Mathematics in Engineering (ICAME), 27 - 29 September 2018, (Summary Text)

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

International Conference on Applied Mathematics in Engineering (ICAME), Balıkesir, Turkey, 27 - 29 June 2018, pp.155, (Summary Text)

Lie Group Analysis and Galilean Group Analysis for Partial Differential Equations

ICOMAA 2018, Turkey, 11 - 13 May 2018, (Summary Text)

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, Cyprus (Kktc), 4 - 06 May 2018, pp.311, (Summary Text)

Symmetry solution on fractional equation

CMES-2017, Turkey, 20 - 22 May 2017, (Full Text)

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