Approximate symmetry reduction for perturbed nonlinear Schr?dinger equation

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

中国物理B ›› 2010, Vol. 19 ›› Issue (5): 50201-050201.doi: 10.1088/1674-1056/19/5/050201

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Approximate symmetry reduction for perturbed nonlinear Schr?dinger equation

林机¹, 谢水英²

(1)Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China; (2)Mechanical and Electrical Engineering Department, Zhejiang Industry Polytechnic College, Shaoxing 312000, China

收稿日期:2009-06-25 修回日期:2009-11-23 出版日期:2010-05-15 发布日期:2010-05-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No.~10875106).

Approximate symmetry reduction for perturbed nonlinear Schr?dinger equation

Xie Shui-Ying(谢水英)^a) and Lin Ji(林机)^b)†

^a Mechanical and Electrical Engineering Department, Zhejiang Industry Polytechnic College, Shaoxing 312000, China; ^b Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China

Received:2009-06-25 Revised:2009-11-23 Online:2010-05-15 Published:2010-05-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No.~10875106).

摘要/Abstract

摘要： We investigate the one-dimensional nonlinear Schrödinger equation with a perturbation of polynomial type. The approximate symmetries and approximate symmetry reduction equations are obtained with the approximate symmetry perturbation theory.

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.

Key words: perturbed NLS equation, symmetry, similarity reduction

中图分类号: (Solitons)

05.45.Yv

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)

谢水英, 林机. Approximate symmetry reduction for perturbed nonlinear Schr?dinger equation[J]. 中国物理B, 2010, 19(5): 50201-050201.

Xie Shui-Ying(谢水英) and Lin Ji(林机). Approximate symmetry reduction for perturbed nonlinear Schr?dinger equation[J]. Chin. Phys. B, 2010, 19(5): 50201-050201.

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Approximate symmetry reduction for perturbed nonlinear Schr?dinger equation

Approximate symmetry reduction for perturbed nonlinear Schr?dinger equation

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