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Stochastic Multi-Symplectic Integrator for Stochastic Nonlinear Schrödinger Equation

Stochastic Multi-Symplectic Integrator for Stochastic Nonlinear Schrödinger Equation
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Year:    2013

Communications in Computational Physics, Vol. 14 (2013), Iss. 2 : pp. 393–411

Abstract

In this paper we propose stochastic multi-symplectic conservation law for stochastic Hamiltonian partial differential equations, and develop a stochastic multi-symplectic method for numerically solving a kind of stochastic nonlinear Schrödinger equations. It is shown that the stochastic multi-symplectic method preserves the multi-symplectic structure, the discrete charge conservation law, and deduces the recurrence relation of the discrete energy. Numerical experiments are performed to verify the good behaviors of the stochastic multi-symplectic method in cases of both solitary wave and collision.


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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.230212.240812a

Communications in Computational Physics, Vol. 14 (2013), Iss. 2 : pp. 393–411

Published online:    2013-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    19

Keywords:   

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