Approximate symmetry reduction for perturbed nonlinear Schr?dinger equation

doi:10.1088/1674-1056/19/5/050201

Abstract We investigate the one-dimensional nonlinear Schr?dinger equation with a perturbation of polynomial type. The approximate symmetries and approximate symmetry reduction equations are obtained with the approximate symmetry perturbation theory.

Keywords: perturbed NLS equation symmetry similarity reduction

Received: 25 June 2009
Revised: 23 November 2009
Accepted manuscript online:

PACS:	05.45.Yv	(Solitons)
	02.30.Jr	(Partial differential equations)
	02.30.Hq	(Ordinary differential equations)
	02.30.Mv	(Approximations and expansions)
	02.10.De	(Algebraic structures and number theory)

Fund: Project supported by the National Natural Science Foundation of China (Grant No.~10875106).

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Xie Shui-Ying(谢水英) and Lin Ji(林机) Approximate symmetry reduction for perturbed nonlinear Schr?dinger equation 2010 Chin. Phys. B 19 050201

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