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Energy preserving integratıon of KDV-KDV systems
(Işık University Press, 2012-07-01)
Coupled Korteweg de Vries (KdV) equations in Hamiltonian form are integrated by the energy preserving average vector field (AVF) method. Numerical results confirm long term preservation of the energy and the quadratic ...
Energy preserving integration of bi-Ham
(Işık University Press, 2013-01-04)
The energy preserving average vector field (AVF) integrator is applied to evolutionary partial differential equations (PDEs) in bi-Hamiltonian form with nonconstant Poisson structures. Numerical results for the Korteweg ...
Particle dynamics in the KdV approximation
(Elsevier Science BV, 2012-12)
The KdV equation arises in the framework of the Boussinesq scaling as a model equation for waves at the surface of an inviscid fluid. Encoded in the KdV model are relations that may be used to reconstruct the velocity field ...