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    Abstract
2012 (Vol. 4, Issue: 19)
Article Information:

Split-Step Multi-Symplectic Method for Nonlinear Schrödinger Equation

Zainal Abdul Aziz, Nazeeruddin Yaacob, Mohammadreza Askaripour Lahiji and Mahdi Ghanbari
Corresponding Author:  Mahdi Ghanbari 

Key words:  Conservation law, , multi-symplectic scheme, schrödinger equation, split-step method, , ,
Vol. 4 , (19): 3834-3837
Submitted Accepted Published
April 27, 2012 May 13, 2012 October 01, 2012
Abstract:

Multi-symplectic methods have recently been considered as a generalization of symplectic ODE methods to the case of Hamiltonian PDEs. The symplectic of Hamiltonian systems is well known, but for Partial Differential Equation (PDEs) this is a global property. In addition, many PDEs can be written as Multisymplectic systems, in which each independent variable has a distinct symplectic structure. Also, Their excellent long time behavior for a variety of Hamiltonian wave equations has been proposed in a number of numerical studies. In the study, a new type of multi-symlectic integrators, which is used for solving Nonlinear Schrödinger Equation (NLS) has been demonstrated.
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  Cite this Reference:
Zainal Abdul Aziz, Nazeeruddin Yaacob, Mohammadreza Askaripour Lahiji and Mahdi Ghanbari, 2012. Split-Step Multi-Symplectic Method for Nonlinear Schrödinger Equation.  Research Journal of Applied Sciences, Engineering and Technology, 4(19): 3834-3837.
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