Approximate symmetry reduction for perturbed nonlinear Schrdinger equation

Approximate symmetry reduction for perturbed nonlinear Schrdinger equation

下载PDF

导出

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

作者谢水英林机

机构地区 Mechanical and Electrical Engineering Department Institute of Nonlinear Physics

出处《Chinese Physics B》 SCIE EI CAS CSCD 2010年第5期1-5,共5页 中国物理B（英文版）

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

关键词 perturbed NLS equation SYMMETRY similarity reduction perturbed NLS equation, symmetry, similarity reduction

分类号 O175.29 [理学—基础数学]

引文网络
相关文献

参考文献16

1Ablowitz M J and Clarkson P A 2000 Solitons, Nonlinear Evolution Equations and Inverse Scattering (London: Cambridge University Press).
2Matveev-V B and Salle M A 1991 Darboux Transformations and Solitions Springer Series in Nonlinear Dynamics (Berlin: Springer-Verlag).
3Lin J, Ren B, Li H M and Li Y S 2008 Phys. Rev. E 77 036605.
4Li H M, Li Y S and Lin J 2009 Chin. Phys. B 18 3657.
5Hirota R 2004 The Direct Method in Soliton Theory (London: Cambridge University Press).
6Ren B and Lin J 2009 Chin. Phys. B 18 1161.
7Abdllaev F K, Gaputo J G and Flytzanis N 1994 Phys. Rev. E 50 1552.
8Yan J R, Tang Y and Zhou G H 1998 Phys. Rev. E 58 1064.
9Lou S Y 1999 Chin. Phys. Lett. 16 659.
10Cheng X P, Lin J and Ya~ J M 2009 Chin. Phys. B 18 391.

1牛潇萌.非线性互补问题的光滑化拟牛顿算法[J].计算机工程与应用,2013,49(18):33-35. 被引量：5
2王开清.单位根在解一类非线性方程组中的应用[J].四川轻化工学院学报,1997,10(3):38-43.
3杨海中,王开清.单位根在解一类非线性方程组中的应用[J].宜宾学院学报,1997(2):21-25.
4贾曼,王建勇,楼森岳.Approximate Symmetry Reduction to the Perturbed One-Dimensional Nonlinear Schrodinger Equation[J].Chinese Physics Letters,2009,26(2):1-4. 被引量：7
5堵秀凤,程旭,高慧敏,金丽.关于对称方程组非零解的判定与解法[J].齐齐哈尔师范学院学报（自然科学版）,1997,17(3):3-6.
6崔子荣.解对称方程组四法[J].数理化解题研究（初中版）,2008(9):9-10.
7姚敬之.弱对称线性方程组的一种新解法[J].水利电力机械电子技术,1989(1):8-12.
8LUO Shao-Kai,GUO Yong-Xin.Lie Symmetrical Perturbation and Adiabatic Invariants of Generalized Hojman Type for Relativistic Birkhoffian Systems[J].Communications in Theoretical Physics,2007,47(1):25-30. 被引量：4
9梅峰太,左莉.对称扰动理论在偏微分方程中的应用研究[J].科技通报,2012,28(8):9-11.
10何万生,裴瑞昌.二阶哈密尔顿系统的对称扰动(英文)[J].应用数学,2014,27(3):476-482.

Chinese Physics B

2010年第5期

浏览历史

内容加载中请稍等...

Approximate symmetry reduction for perturbed nonlinear Schrdinger equation

参考文献16

相关作者

相关机构

相关主题

浏览历史