期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

三阶超对称非线性Schr?dinger方程的延拓结构

Prolongation structure of the third-order supersymmetric nonlinear Schr?dinger equation
下载PDF
导出
摘要 超对称的Heisenberg铁磁连模型是一类非常重要的可积系统,它与固体物理中的电子强关联Hubbard模型有着紧密的联系.文章主要利用超对称延拓结构理论的方法,分析高阶超对称非线性Schr?dinger方程,进行研究得到了该方程延拓代数对应的Lax对. The Heisenberg supermagnet model is an supersymmetric system and has a close relationship with the strong electron correlated Hubbard model.In this paper,the supersymmetric prolongation structure was used to analyze the high order supersymmetric nonlinear Schr（o）dinger equation.Its Lax representation of prolongation algebra was constructed.
作者 加羊杰
机构地区 青海师范大学民族师范学院数学系
出处 《华东师范大学学报（自然科学版）》 CAS CSCD 北大核心 2015年第1期16-26,共11页 Journal of East China Normal University(Natural Science)
基金 国家自然科学基金(11061026)
关键词 非线性Schr(o)dinger方程 超对称 李代数 延拓结构 LAX对 线性谱问题 nonlinear Schr（o）dinger equation supersymmetric Lie algebra prolongation structure Lax pair linear spectral problems
分类号 O157.5 [理学—基础数学]
  • 相关文献

参考文献21

  • 1MORRIS C.Time-dependent propagation of high energy laser beams through the atmosphere[J].Math Phys,1978(4):76-85.
  • 2HIROTA R,OHTA Y.New type of soliton equations[J].Phys Soc Japan,2007,76(2):24-35.
  • 3DODD R K,FORDY A P.The prolongation structures of quasi-polynomial flows[J].R Proc Soc Lond A,1983,12:385-389.
  • 4TSUCHIDA T,WOLF T.Classification of polynomial integrable systems of mixed scalar and vector evolution equations I[J].J Phys A:Math Gen,2005,38:7691-7733.
  • 5CHOWDHURY A,ROY T.Prolongation structure and inverse scattering formalism for super symmetric SineGordon equation in ordinary space time variable[J].Math Phys,1979,20:45-59.
  • 6GARDMER C S,MORIKAWA G K.Similarity in the asymptotic behavior of collision-free hydro magnetic waves and water waves[R].Courant Inst Math Sci Res,Rep,1960 13:82-90.
  • 7加羊杰.耦合KdV方程的延拓结构[J].纯粹数学与应用数学,2010,26(4):601-607. 被引量：1
  • 8ALFINITO E,GRASSI V,LEO R A,et al.Equations of the reaction-diffusion type wth a loop algebra structure[J].Inverse Problems,1998,14(6):1387-1401.
  • 9WAHLQUIST H D,ESTABROOK F B.Prolongation structures of nonlinear evolution equations[J].J Math Phys,1975,16:1-7.
  • 10CHOWDHURY S,KEBARLE P.Electron affinities of di-and tetracyanoethylene and cyanobenzenes based on measurements of gas-phase electron-transfer equilibria[J].J AM Chem SOC,1986,108:5453-5459.

二级参考文献29

  • 1Morris H C. Time-dependent propagation of high energy laser beams through the atmosphere[J]. Math. Phys., 1978,4:76-85.
  • 2Chowdhury A, Roy T. Prolongation structure and inverse Scattering formalism for super symmetric sinegordon equation in ordinary space time variable[J]. Math. Phys., 1979,20:45-59.
  • 3Dodd R K, Fordy A P. The prolongation structures of quasi-polynomial flows[J]. R. Proc. Soc. Lond.A, 1983,12:385-389.
  • 4Chowdhury A, Paul S. Electron affinities of di-and tetracyanoethylene and cyanobenzenes based on measurements of gas-phase electron-transfer equilibria[J]. Inter. Theor. Phys., 1985,24:633-639.
  • 5Kalkanh A. Prolongation structure and Painlev 6 property of the G u rses-Nutku equations Inter[J]. Theor. Phys., 1987,26:1085-1090.
  • 6Finley J D, Commun. The Robinson-Trautman type III prolongation structure contains K[J]. Math. Phys., 1996,21:365-375.
  • 7Zhao W Z, Bai Y Q, Wu K. Generalized inhomogeneous Heisenberg ferromagnet model and generalized nonlinear Schredinger equation[J]. Phys. Lett. A, 2006,3:52-64.
  • 8Das C, Chowdhury A, Chaos. On the prolongation structure and integrability of HNLS equation[J]. Solitons & Fractals, 2001,12:2081-2090.
  • 9Alfinito E, Grassi V, Leo R A. Equations of the reaction-diffusion type with a loop algebra structure[J]. Soliani ,Inverse Problems, 1998,14:1387-1393.
  • 10Ito M. Symmetries and conservation laws of a coupled nonlinear wave equation[J]. Phys. Let. A, 1982,91:335- 343.
华东师范大学学报（自然科学版）
2015年 第1期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部