New schemes for the coupled nonlinear Schrodinger equation

Authors:
Yushun Wang;Shengtai Li
Affiliations:
School of Mathematics and Computer Sciences, Nanjing Normal University, Nanjing, China;Theoretical Division, Los Alamos National Laboratory, NM, USA
Venue:
International Journal of Computer Mathematics
Year:
2010

Citing 0
Cited 3

High-order compact splitting multisymplectic method for the coupled nonlinear Schrödinger equations

Computers & Mathematics with Applications
Local energy-preserving and momentum-preserving algorithms for coupled nonlinear Schrödinger system

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Local structure-preserving algorithms for the "good" Boussinesq equation

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Abstract

In this paper, we present three new schemes for the coupled nonlinear Schrodinger equation. The three new schemes are multi-symplectic schemes that preserve the intrinsic geometry property of the equation. The three new schemes are also semi-explicit in the sense that they need not solve linear algebraic equations every time-step, which is usually the most expensive in numerical simulation of partial differential equations. Many numerical experiments on collisions of solitons are presented to show the efficiency of the new multi-symplectic schemes.