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PUBLICATIONS
Ph.D. Dissertation:Geometric
Integrators for Coupled Nonlinear Schrödinger Equations, Middle
East Technical University(METU), 2005
Ph.D.Supervisor:
Prof.Dr.Bülent KARASÖZEN
Articles:
q
A.Aydın and B.Karasözen,
Symplectic and multi-symplectic methods for
coupled nonlinear Schrödinger equations with periodic solutions.
Computer Physics Communications, Volume 177, Issue 7, 1
October 2007, Pages 566-583
q
A.Aydın and B.Karasözen,
Multi-symplectic Integration of Coupled
Nonlinear Schrödinger System with Soliton Solutions.
International Journal of Computer Mathematics.
(in press)
q A.Aydın,
Multisymplectic
Integration of N-Coupled Nonlinear Schrödinger System with Periodic
Solutions.Chaos,
Solitons and Fractals. (in press)
q
A.Aydın and B.Karasözen,
Symplectic and multisymplectic Lobatto
methods for the “good” Boussinesq equation,
J. Math. Phys.
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Volume 49
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Issue 8
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METHODS OF
MATHEMATICAL PHYSICS,
083509(1)-083509(18) (2008)
Conferences (International)
q
A.Aydın and B.Karasözen, Symplectic
and multi-symplectic Lobatto methods for the ''good'' Boussinesq
equation. Proceedings of 6 th ISAAC
Conference,World Scientic,(2007)
q
A.Aydın and B.Karasözen, Multisymplectic Schemes for the Complex Modified Korteweg-de Vries
Equation”, American Institute of Physics (AIP) Conference
Proceedings 1048 of ICNAAM
Sixth (6th) International Conference of Numerical Analysis and
Applied Mathematics, Kos , Greece, 16-20 September 2008, T.E. Simos,
G. Psihoyios, Tsitouras, editors, pp. 60-63.
Conferences (national)
q
A.Aydın and B.Karasözen,
Semi-Explicit Symplectic and multi-symplectic six-point schemes for
Coupled Nonlinear Schrödinger
EquationsSystem
XX.National Mathematics Symposium, 2007, Atatürk
University, Erzurum, Turkey (in Turkish)
(Abstract-Özet)
q
A.Aydın and B.Karasözen,Multi-symplectic
Integration of Coupled Nonlinear Schrödinger System with Soliton
Solutions.
XIX.National Mathematics Symposium, 2006,
Dumlupınar University, Kütahya, Turkey
(in Turkish)(Abstract-Özet)
q
A.Aydın,
Lineer Olmayan
İkili Schrödinger Denkleminin Çoklu-Simplektik Yapısı ve Preissman
Yöntemi,
Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi, XVI Ulusal
Matematik Sempozyumu, Özel Sayı, 263-275, (2005).
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