期刊文献+

A Unified and Explicit Construction of N-Soliton Solutions for the Nonlinear Schrfdinger Equation 被引量:3

A Unified and Explicit Construction of N-Soliton Solutions for the Nonlinear Schrfdinger Equation
下载PDF
导出
摘要 An explicit N-fold Darboux transformation with multiparameters for nonlinear Schrodinger equation is constructed with the help of its Lax pairs and a reduction technique. According to this Darboux transformation, the solutions of the nonlinear Schrfdinger equation are reduced to solving a linear algebraic system, from which a unified and explicit formulation of N-soliton solutions with multiparameters for the nonlinear Schrfdinger equation is given.
作者 FAN En-Gui
出处 《Communications in Theoretical Physics》 SCIE CAS CSCD 2001年第10期401-404,共4页 理论物理通讯(英文版)
基金 中国基础研究项目,中国博士后科学基金,上海市博士后科研项目,河北省博士科研项目
  • 相关文献

参考文献17

  • 1[1]L.D.Faddeev and L.A.Takhtajan,Hamiltonian Method in the Theory of Solitons,Springer,Berlin (1987).
  • 2[2]A.Hasegawa,Optical Solitons in Fibers,Springer,Berlin (1990).
  • 3[3]P.A.Clarkson and J.A.Tuszynski,J.Phys.A23 (1990)4269.
  • 4[4]A.C.Newell and T.V.Moloney,Nonlinear Optics,Addison-Wesley,Redwood City,CA (1992).
  • 5[5]Y.Kodama,J.Stat.Phys.39 (1985) 597.
  • 6[6]M.Manas.J.Phys.A29 (1996) 7721.
  • 7[7]D.Levi,O.Raginsco and A.Sym,Lett.Nuovo.Cimento 33 (1982) 401.
  • 8[8]V.B.Matveev and M.A.Salle,Darboux Transformation and Solitons,Springer,Berlin (1991).
  • 9[9]C.H.GU,H.S.HU and Z.X.ZHOU,Darboux Transformation in Soliton Theory and Its Geometric Applications,Shanghai Scientific and Technical Publishers,Shanghai (1999).
  • 10[10]M.J.Ablowitz and P.A.Clarkson,Solitons,Nonlinear Evolution Equations and Inverse Scattering,Cambridge University Press,New York (1991).

同被引文献7

引证文献3

二级引证文献5

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