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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
Submitted: April 27, 2012
Accepted: May 13, 2012
Published: October 01, 2012 |
Abstract:
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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.
Key words: Conservation law, , multi-symplectic scheme, schrödinger equation, split-step method, , ,
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Cite this Reference:
Zainal Abdul Aziz, Nazeeruddin Yaacob, Mohammadreza Askaripour Lahiji and Mahdi Ghanbari, . Split-Step Multi-Symplectic Method for Nonlinear Schrödinger Equation. Research Journal of Applied Sciences, Engineering and Technology, (19): 3834-3837.
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ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
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