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一维Tonks-Girardeau原子气区域中Gross-Pitaevskii方程简化模型的精确行波解 被引量：3

Exact traveling wave solutions for simplified model of Gross-Pitaevskii equation in the 1D-Tonks-Girardeau gas
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摘要 利用动力系统方法研究一维Tonks-Girardeau原子气区域中Gross-Pitaevskii(GP)方程简化模型的一些精确行波解以及这些精确行波解的动力学行为,研究系统的参数对行波解的动力学行为的影响.在不同的参数条件下,获得了一维Tonks-Girardeau原子气区域中GP方程简化模型的六个行波解的精确参数表达式. By using a dynamical system method,in this paper studied are some exact traveling wave solutions and dynamic behaviors of these traveling wave solutions for simplified model of Gross-Pitaevskii（GP）equation in the 1D-Tonks-Girardeau gas.The effects of the behaviors on the parameters of the systems are also studied.Under different parametric conditions,six exact explicit parametric representations of the traveling wave solutions for simplified model of GP equation in the 1D-Tonks-Girardeau gas are given.
作者 徐园芬
机构地区 浙江万里学院基础学院
出处 《物理学报》 SCIE EI CAS CSCD 北大核心 2013年第10期10-13,共4页 Acta Physica Sinica
基金 浙江省自然科学基金(批准号:LY12E05005) 浙江省科学技术厅一般项目(批准号:2012C21084)资助的课题~~
关键词 动力系统方法 孤立波解 周期波解 扭波解 dynamical systems method solitary wave solution periodic wave solution kink wave solution
分类号 O175 [理学—基础数学]
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  • 1Quintero J R. Solitons and periodic traveling waves for the 2D-generalized Benney-Luke equation [J]. Applicable Analysis, 2007,86 ( 3 ) : 331-351.
  • 2Mondragon E I. A remark on the stability of solitary waves for 1-D Benney-Luke equation[J]. Mathematicas : Ensenanza Universitaria, 2006,14( 1 ) : 59-73.
  • 3LI Ji-bin,DAI Hui-hui. On the Study of Singular Nonlinear Traveling Wave Equations: Dynamical System Approach[M]. Beijing : Science Press, 2007.
  • 4LI Ji-bin, CHEN Guan-rong. Bifurcations of travelling wave solutions for four classes of nonlinear wave equations[J]. Internat J Bifurcation and Chaos, 2005,15(12) : 3973-3998.
  • 5Byrd P F, Fridman M D. Handbook of EUiptic Integrals for Engineers and Svientists [M]. Berlin : Springer, 1971.
  • 6Guckenheimer J, Holmes P J. Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fiehts[M]. New York : Springer-Verlag, 1983.

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同被引文献24

  • 1李德生,张鸿庆.The soliton-like solutions to the （2＋1）-dimensional modified dispersive water-wave system[J].Chinese Physics B,2004,13(7):984-987. 被引量：17
  • 2朱加民,郑春龙,马正义.A general mapping approach and new travelling wave solutions to the general variable coefficient KdV equation[J].Chinese Physics B,2004,13(12):2008-2012. 被引量：13
  • 3Anderson M H, Ensher J R, Matthews M R, Wieman C E, Cornell E A. Observation of Bose-Einstein condensation in a dilute atomic vapor [J]. Science, 1995, 269(5221): 198-201.
  • 4Davis K B, Mewes M, Andrews M R, van Druten N J, Durfee D S, Kurn D M, Ketterle W. Bose- Einstein condensation in a gas of sodium atoms [J]. Phys Rev Lett, 1995, 75(22): 3969-3973.
  • 5Bradley C C, Sackett C A, Tollett J J, Hulet R G. Evidence of Bose-Einstein condensation in an atomic gas with attractive interactions [J]. Phys Rev Lett, 1995, 75(9): 1687-1690.
  • 6Dalfovo F, Giorgini S, Pitaevskii L, Stringari S. Theory of Bose-Einstein condensation in trapped gases [J]. Rev Mod Phys, 1999, 71(3): 463-512.
  • 7Adhikari S K. Bright solitons in coupled defocusing NLS equation supported by coupling: application to Bose-Einstein condensation [J]. Phys Lett A, 2005, 346(1-3): 179-185.
  • 8Denschlag J, Simsarian J E, Feder D L, Clark C W, Collins L A, Cubi2011es J, Deng L, Hagley E W, Helmerson K, Reinhardt W P, Rolston S L, Schneider B I, Phillips W D. Generating solitonsby phase engineering of a Bose-Einstein condensate [J]. Science, 2000, 287(5450): 97-101.
  • 9Strecker K E, Partridge G B, Truscott A G, Hulet R G. Formation and propagation of matter-wave soliton trains [J]. Nature, 2002, 417(6885): 150-153.
  • 10Khaykovich L, Schreck F, Ferrari G, Bourdel T, Cubi2011es J, Cart L D, Castin Y, Salomon C. Formation of a matter-wave bright soliton [J]. Science, 2002, 296(5571): 1290-1293.

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物理学报
2013年 第10期

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