IYTE> Department of Mathematics

• O.K. Pashaev & Oguz Yilmaz , "Vortex Images and q- elementary Functions", Journal of Physics A- Mathematical and Theoretical, 41, 13, 135207-29, 2008. (SCI).

• Büyükaşık E., Lomp C. , "On a recent generalization of semiperfect rings" , Bulletin of the Australian Mathematical Society, 78(2), 317-325, 2008 (SCI).

• Aydın S.H., Nesliturk A.I., and M. Tezer-Sezgin , "Two-level finite element method with a stabilizing subgrid for the incompressible Navier-Stokes equations", International Journal for Numerical Methods in Fluids, V.58, 551-572, 2008 (SCI).

• Akhmet, M.U., Tleubergenova, M.A. & Yilmaz, O. , "Asymptotic Behaviour of Linear Impulsive Integro-Differential Equations" , Computers & Mathematics with Applications, V.56, 1071-1081, 2008, (SCI).

• Korobkin, A. & Yilmaz, O. , "Initial Stages of Dam-Breaking Flow" , Journal of Engineering Mathematics, 2008, (SCI).

• Aslan I. & Öziş T., "Exact and explicit solutions to the (3+1)-dimensional Jimbo-Miwa equation via the Exp-function method" , Physics Letters A, 372, 7011-7015, 2008, (SCI).

• Z. N. Gurkan & O. K. Pashaev, "Integrable Vortex Dynamics in Anisotropic Planar Spin Liquid Model", Chaos Solitons and Fractals, V.38, 238-253, 2008, (SCI).

• M. K. Kwan, Z. N. Gurkan & L. C. Kwek , "Berrys Phase Under the Dzyaloshinskii Moriya Interaction", Physical Review A, V.77, 062311, 2008, (SCI).

• R. Parwani & O.K. Pashaev, "Integrable Hierarchies and Information Measures", J. Phys. A: Math and Theory, V.41, 235207, 2008, (SCI).

• O. Pashaev & C. Rogers, "Soliton resonances in a generalized nonlinear Schrödinger equation", Journal of Physics A-Mathematical and Theoriticl, V.41, 2008, (SCI).

2007

• M. L.Y. Francisco, J.- H. Lee and O. K. Pashaev "Dissipative Hierarchies and Resonance Solitons for KP-II and MKP-II", Mathematics and Computers in Simulation, V. 74, (2007) 323-332. (SCI)

• J.-H. Lee, O.K. Pashaev, C. Rogers and W. K. Schief, "The resonant nonlinear Schrodinger equation in cold plasma physics. Application of Backlund-Darboux transformations and superposition principles", Journal of Plasma Physics, V. 73, Issue 02, pp. 257-272, (2007). (SCI)

• O.K. Pashaev, Z.N. Gurkan, "Abelian Chern-Simons Vortices and Holomorphic Burgers Hierarchy" , Theor. Math. Phys. 152(1): 1017-1029. (2007) (SCI)

• Gamze Tanoglu, "Solitary wave solution of nonlinear multi-dimensional wave equation by bilinear transformation method", Communication in Nonlinear Science and Numerical Simulation, 12 (2007) 1195-1201

2006

• Yilmaz, O. "Second Order Diffraction of Water Waves by Circular Cylinders and some Related Numerical Problems" (Technical Note), Journal of Offshore Mechanics and Arctic Engineering (Accepted for publication)

• A.I.Nesliturk, "A Stabilizing Subgrid For Convection-Diffusion Problem’ . Mathematical Models and Methods in Applied Sciences (M3AS). 16 (2006), 211-232

• A.Neslitürk ve M. Tezer-Sezgin, ''Finite element method solution of electrically driven Magnetohydrodynamic flow,'' Journal of Computational and Applied Mathematics. 192, 339-352 (2006).

• Dilek Buyruk , Dilek Pusat-Yilmaz, Modules over Prüfer Domains which satisfy the Radical Formula, to appear in Gasgow Math. Journal

• Tanoglu G., “Hirota Method for Solving Reaction-Diffusion Equations with Generalized Nonlinearity ”, Int. Journal of Nonlinear Science, Vol. 1 (2006) No:1, pp.30-36.

• Tanoglu G., “Solitary wave solution of nonlinear multi-dimensional wave equation by bilinear transformation method”, Communication in Nonlinear Science and Numerical Simulation, accepted, to be published 2006.

• Alikakos, N. D., Bates, P. W., Cahn, J. W., Fife, G. C., Fusco, G., Tanoglu, G. B. “Analysis of a Corner Layer Problem in Anisotropic Interfaces.” Discrete and Continuous Dynamical Systems-Series B 6: 2 (2006): 237-55.

2005

• I.H.Duru & H. Ahmedov, "Casimir Energy for a Wedge with Three Surfaces and for a Pyramidal Cavity", J. Math.Phys., 46, 022303, (2005).

• I.H.Duru & H. Ahmedov, "Casimir Energy in a Conical Wedge and a Conical Cavity", J. Math.Phys., 46, 022304, (2005).

• I.H.Duru & H. Ahmedov, "Regularized Green's Function and Group of Reflection in a Cavity with Triangular Cross Section", Phys.Atom.Nucl., 68, 1621, (2005).

• Nai-Heng Chang and O.K. Pashaev, "The Cauchy Problem for the Planar Spin-liquid Model", Nonlinearity, 18 (2005) pp. 1305-1329.

• O.K. Pashaev and G. Tanoglu, “Vector Shock Soliton and the Hirota Bilinear Method”, Chaos, Solitons and Fractals, 26, (2005), pp. 95-105.

• Oktay K. Pashaev and Meltem. L. Y. Francisco, “Degenerate Four-Virtual Soliton Resonance for the KP-II”, Theoretical and Mathematical Physics, 144(1): 2005, 1022-1029.

• J.-H. Lee and O.K. Pashaev , “ Soliton Resonances For the MKP-II”, Theoretical and Mathematical Physics, 144(1): 2005, 995-1003.

• Akhmet, M. & Yilmaz, O., ' Positive solutions of linear impulsive differential equations', Nonlinear Oscillations (to be published),2005 .

• M.Tezer and A.I.Nesliturk,``The finite element method for MHD flow at high Hartmann numbers', Computer Methods in Applied Mechanics and Engineering, 194, pp. 1201-1224 (2005).

• A.I.Nesliturk, ‘On the stability of the residual-free bubbles for the Navier – Stokes equations’. Acta Mathematica Scientia. 25, 715-730 (2005)

2004

• R.Alizade and A.Pancar, B.Sezen, "Scalar Multiplication of proper Classes of Short Exact Sequences Soochow", Journal of Math. 30:2, 2004, pp.127-138.

• R.Alizade and K.Akinci, A.Imam, "On the Structure of Neat-Injective Envelopes Mathematica (Cluj) 46(69):2, 2004, pp.115-122

• R.Alizade and E.Mermut, "The Inductive Closure of Supplements", A journal of the Faculty of Science Ege University 27, 2004, p.33-48, http://sci.ege.edu.tr/~jfs/math_2004.html

• I.H.Duru & H. Ahmedov, "Casimir Energy Inside a Cavity with Triangular Crossection", J. Math.Phys., 45, 965-977, (2004).

• R.M.Kasimov, On classical and quantum q-oscillators in the relativistic theory -Czechoslovak Journal of Physics, Vol. 54, N11, (2004), pp 1371-1374

• Jyh-Hao Lee, Chi-Kun Lin, Oktay K. Pashaev, "Shock waves, chiral solitons and semiclassical limit of onedimensional anyous", Chaos, Solitons and Fractals 19 (2004) 109-128

• Yilmaz, O., ' An iterative procedure for the diffraction of water waves by multiple cylinders', Ocean Engineering, Vol. 31, pp. 1437-1446, 2004

2003

• R.Alizade and E.Büyükasik, "Cofinitely Weak Supplemented Modules", (Commun. in Algebra 31:11,2003,pp.5377-5390)

• I.H.Duru & H. Ahmedov, "Casimir Force between Surfaces Close to each Other", J. Math.Phys., 44, 5487-5503, (2003).

• R.M.Kasimov and K.Koizumi, I.S.Sogami, q-deformed and c-deformed Harmonic Oscillators - Prog. of Theor. Phys. (Japan), Vol.110, N4, (2003), pp 819-40

• J.-H. Lee and O.K. Pashaev ,''Bilinear representation for the modified Nonlinear Schrodinger Equations and their Quantum Potential deformations", Nonlinear Physics: Theory and Experiment. II , World Scientific Pub., Singapore, 2003, 79-82.

• L. Martina and O.K. Pashaev , ''Noncommutative Burgers Equations", Nonlinear Physics: Theory and Experiment. II , World Scientific Pub.,Singapore, 2003, 83-88.

• Söylemez, M., & Yilmaz O., ‘ Hydrodynamic Design of a TLP type Offloading Platform’, Ocean Engineering, Vol. 30, pp. 1269-1282., 2003.

• Yilmaz O., & Incecik, A., ‘ Simulation of Green Water Flow on Deck Using Non-linear Dam Breaking Theory’, Ocean Engineering, Vol. 30, No. 5, 2003 .

• Pusat-Yilmaz D., On Prime Submodules of Finitely Generated Free Modules, Turkish Journal of Mathematics, 27(2003) 329-342.

• I.Harari and A.I.Nesliturk,``The nearly-optimal Petrov-Galerkin method for convection-diffusion problems,'', Computer Methods in Applied Mechanics and Engineering, 192 (2003), 2501-2519.

• G. Tanoglu, R.J. Braun, J. Cahn and G. B. McFadden, A1-L1_0,Phase Boundaries and Anisotropy via Multiple - Order - Parameter Theory for an fcc Alloy,Interface and Free Boundaries, vol:5, issue:3, (2003),275-299.

• Tanoglu G., Agiroglu O. “ The Application of a Finite Difference Method to a Dynamical Interface Problem” International J. of Computational and Num. Anal. and Appl. vol. 4, No. 4 (2003).

2002

• R.M.Kasimov, "On the Relativistic Supersymmetric Quantum Mechanics" - Czechoslovak Journal of Physicsö v.52, (2002) Suppl.C, (Part II), pp.445--452.

• R.M.Kasimov, Relation between relativistic and non-relativistic quantum mechanics as integral transformation - Foundations of Physics, Vol.32, N4, April 2002, pp 607-626

• J.-H. Lee and O.K. Pashaev ,''Black Holes and Solitons of the Quantized Dispersionless NLS and DNLS equations", ANZIAM Journal, Australian Mathematical Society, Vol. 44, 2002, 73-81

• J.-H. Lee and O.K. Pashaev , ''Resonance solitons as Black Holes in Madelung Fluid", Modern Physics Letters A, Vol. 17, N 24, 2002, 1601-1619

• Pusat-Yilmaz D. and Smith P.F.,Modules which satisfy the Radical Formula, Acta Mathematica Hungarica, 95(1-2), 155-167 (2002).

• S. Atilgan, S. Karakiliç, O. A. Veliev, Asymptotic Formulas for the Eigenvalues of the Schrödinger Operator, Türk J Math, 26 (2002), 215-227.TÜBITAK.

2001

• R.Alizade and G. Bilhan, P. Smith, "Modules Whose Maxial Submodels Have Supplements", Commun. in Algebra 29:16, 2001, pp 2389 - 2405

• I.H.Duru & H. Ahmedov, "Representations of SU(1,1) in Non-Commutative Space Generated by the Heisenber Algebra", J.Phys.A: Math.Gen. 34, 227-234 (2001).

• I.H.Duru & H. Ahmedov, "Summation Formulae for the Product of the q-Kummer Functions from Eq(2)", J.Phys.A:Math.Gen. 34, 1333-1340 (2001).

• R.M.Kasimov and Z.Can, Z.Güven, O.Oguz, Poincare Lie algebra and noncommutative differential calculus - Physics of Atomic Nuclei, Vol.64, N12, (2001), pp. 1985-1997

• J.-H. Lee and O.K. Pashaev , ''Soliton resonances, black holes and Madelung fluid", J. Nonlinear Mathematical Physics, Vol. 8, Suppl., 2001, 230-234.

• J.-H. Lee and O.K. Pashaev , ''Self-dual Chern-Simons solitons and quantum potential", J. Nonlinear Mathematical Physics, Vol. 8, Suppl., 2001, 225-229.

• J.-H. Lee and O.K. Pashaev , ''Self-dual Vortices in Chern-Simons Hydrodynamics”, Theoretical and Mathematical Physics, Vol. 127, N 3 (2001) 779-788.

• Yilmaz O., & Incecik, A., ‘ Wave Enhancement due to Blockage in Semi-Submersible and TLP Structures’, Ocean Engineering, Vol. 28, No. 5,471-490, 2001 (SCI).

• Pusat-Yilmaz D., Polynomial Rings satisfying the Radical Formula, Anadolu University Journal of Science and Technology, 2(2), 401-402 (2001).

• L.Franca and A.I.Nesliturk, ``On a two-level finite element method for the incompressible Navier-Stokes equations,'' , International Journal for Numerical Methods in Engineering. Vol. 52, pp. 433-453 (2001).

2000

• I.H.Duru & H. Ahmedov, "Unitary Representations of the 2-Dimensional Euclidian Groups in the Heisenberg Algebra", J. Phys.A:Math.Gen. 33, 4277-4281 (2000).

• R.M.Kasimov, Geometry of momentum space and noncommutative differential calculus -in "Quantum Theory and Symmetries" - H.-D.Doebner, V.K.Dobrev, J.K.Hennig, & W.Lücke, (2000), © World Scientific Pub. Co. Singapore

• R.M.Kasimov and O.Oguz, Quantum mechanics and noncommuative differential calculus on
commutative algebra - In "SQS'99" - Proceedings of the International Workshop "Supersymmetries and Quantum Symmetries" - E.Ivanov, S.Krivonos, A.Pashnev Dubna, July 27-31,1999, ISBN -- 5 -- 85165 -- 557-- 7, © Joint Institute for Nuclear Research, Dubna, (2000) E2 -- 2000 -- 82

• R.M.Kasimov and O.Oguz, Coulomb symmetry and quantum space - Physics of Elementary Particles and Nuclei, Vol.31, N7a, (2000), pp. 226 -- 232

• R.M.Kasimov, V.A.Fock's Theory of Hydrogen Atom and Quantum Space - Physics of Particles and Nuclei,Vol.31, N1, (2000), pp.44-52

• R.M.Kasimov, Newton-Wigner concept of the state localization and the configuration space commutativity - Physics of elementary particles and atomic nucleus, accepted for publication

• J.-H. Lee and O.K. Pashaev ,''Chern-Simons solitons in quantum potential", Chaos, solitons and fractals, 11 (14)(2000) 2079-2089.

• J.-H. Lee, C.-K. Lin and O.K. Pashaev, ''Equivalence relation and bilinear representation for Derivative Nonlinear Schr\"odinger type equations", Nonlinearity, Integrability and all that. Twenty years after NEEDS'79, World Scientific Pub.,Singapore, 2000, 175-181.

• J.-H. Lee and O.K. Pashaev , ''Integrability and quantum potential. From dissipatons to exponentially localized Chern-Simons solitons", Nonlinearity, Integrability and all that. Twenty years after NEEDS'79, World Scientific Pub., Singapore, 2000, 497-503.

• A.D. MacGillivray, R.J. Braun & Tanoglu G. “ Perturbation Analysis of a Problem of Carrier’s”, Studies in Applied Mathematics, (2000)104:293-311.