Browsing by Author "Karasozen, B."

Filter results by typing the first few letters
Now showing 1 - 3 of 3
  • Thumbnail Image
    Conference Object
    Citation - WoS: 9
    Lobatto IIIA-IIIB discretization of the strongly coupled nonlinear Schrodinger equation
    (Elsevier Science Bv, 2011) Aydin, A.; Karasozen, B.; 01. Atılım University
    In this paper, we construct a second order semi-explicit multi-symplectic integrator for the strongly coupled nonlinear Schrodinger equation based on the two-stage Lobatto IIIA-IIIB partitioned Runge-Kutta method. Numerical results for different solitary wave solutions including elastic and inelastic collisions, fusion of two solitons and with periodic solutions confirm the excellent long time behavior of the multi-symplectic integrator by preserving global energy, momentum and mass. (C) 2010 Elsevier B.V. All rights reserved.
  • Thumbnail Image
    Article
    Citation - WoS: 17
    Citation - Scopus: 16
    Multisymplectic Box Schemes for the Complex Modified Korteweg-De Vries Equation
    (Amer inst Physics, 2010) Aydin, A.; Karasozen, B.; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
    In this paper, two multisymplectic integrators, an eight-point Preissman box scheme and a narrow box scheme, are considered for numerical integration of the complex modified Korteweg-de Vries equation. Energy and momentum preservation of both schemes and their dispersive properties are investigated. The performance of both methods is demonstrated through numerical tests on several solitary wave solutions. (C) 2010 American Institute of Physics. [doi:10.1063/1.3456068]
  • Thumbnail Image
    Conference Object
    Citation - WoS: 1
    Operator Splitting of the Kdv-Burgers Type Equation With Fast and Slow Dynamics
    (Amer inst Physics, 2010) Aydin, A.; Karasozen, B.; 01. Atılım University
    The Korteweg de Vries-Burgers (KdV-Burgers) type equation arising from the discretization of the viscous Burgers equation with fast dispersion and slow diffusion is solved using operator splitting. The dispersive and diffusive parts are discretized in space by second order conservative finite differences. The resulting system of ordinary differential equations are composed using the time reversible Strang splitting. The numerical results reveal that the periodicity of the solutions and the invariants of the KdV-Burgers equation are well preserved.