Behaviour of Cubic Nonlinear Schrödinger Equation by Using the Symplectic Method

Chin. Phys. Lett.

2004, Vol. 21

Issue (2): 230-232 DOI:

Original Articles

Behaviour of Cubic Nonlinear Schrödinger Equation by Using the Symplectic Method

LIU Xue-Shen;DING Pei-Zhu

Institute of Atomic and Molecular Physics, Jilin University, Changchun 130012

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LIU Xue-Shen, DING Pei-Zhu 2004 Chin. Phys. Lett. 21 230-232

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Abstract The dynamic properties of cubic nonlinear Schrödinger equation are investigated numerically by using the symplectic method. We show that the trajectories in phase space will exhibit different behaviour (elliptic orbit or homoclinic orbit) with the increase of nonlinear perturbation. We illustrate this phenomenon by mean of linearized stability analysis. The theoretical analysis is consistent with the numerical results.

Keywords: 02.60.Cb 42.65.-k 47.10.+g

Published: 01 February 2004

PACS:	02.60.Cb	(Numerical simulation; solution of equations)
	42.65.-k	(Nonlinear optics)
	47.10.+g

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2004/V21/I2/0230

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