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N-Soliton Solutions of General Nonlinear Schrdinger Equation with Derivative 被引量：6

N-Soliton Solutions of General Nonlinear Schrdinger Equation with Derivative
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摘要 The bilinear equation of the genera/nonlinear Schrodinger equation with derivative （GDNLSE） and the N-soliton solutions are obtained through the dependent variable transformation and the Hirota method, respectively. The bilinear equation of the nonlinear Schrodinger equation with derivative （DNLSE） and its multisoliton solutions are given by reduction.
作者 ZHAI Wen CHEN Deng-Yuan
机构地区 Department of Mathematics
出处 《Communications in Theoretical Physics》 SCIE CAS CSCD 2008年第5期1101-1104,共4页 理论物理通讯（英文版）
基金 The project supported by National Natural Science Foundation of China under Grant No.10671121
关键词 general nonlinear Schrodinger equation with derivative nonlinear SchrSdinger equation withderivative Hirota method 广义非线性Schrodinger方程 GDNLSE 变量转换 解答方式
分类号 O411.1 [理学—理论物理]
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参考文献15

  • 1C.S. Garder, J.M. Green, and M.D. Kruskal, Phys. Rev. Lett. 19 (1967) 1095.
  • 2M. Wadati, K. Konno, and Y.H. Ichikawa, J. Phys. Soc. Jpn. 46 (1979) 1965.
  • 3M. Wadati, H. Sanuki, and K. Konno, Prog. Theor. Phys. 53 (1975) 419.
  • 4V.B. Matveev and M.A. Salle, Darboux Transformation and Soliton, Springer, Berlin (1991).
  • 5R. Hirota, Phys. Rev. Lett. 27 (1971) 1192.
  • 6N.C. Freeman and J.J.C. Nimmo, Phys. Lett. A 95 (1983) 1.
  • 7J.J.C. Nimmo and N.C. Freeman, Phys. Lett. A 95 (1983) 4.
  • 8J.J.C. Nimmo, Phys. Lett. A 99 (1983) 279.
  • 9S.Y. Lou, Chin. Phys. Lett. 21 (2004) 1020.
  • 10S.Y. Lou and L.L. Chen, J. Math. Phys. 40 (1999) 6491.

同被引文献25

  • 1CHEN DenYuan,ZHANG DaJun,BI JinBo.New double Wronskian solutions of the AKNS equation[J].Science China Mathematics,2008,51(1):55-69. 被引量：8
  • 2范恩贵.联系广义Kaup-Newell谱问题的有限维和无穷维Hamilton系统,Darboux变换和多孤子解[J].河北北方学院学报（自然科学版）,2006,22(1):1-13. 被引量：6
  • 3JOHNSON R S. A modern introduction to the mathematical theory of water waves [M]. New York: Cambridge University Press, 1997: 298-345.
  • 4BELASHOV V Y, VLADIMIROV S V. Solitary wave in dispersive complex media [M]. Berlin: Springer-Verlag, 2005.
  • 5KIVSHAR Y S, AGRAWAL G P. Optical solitons from fibers to photonic crystals [M]. New York: Academic Press, 2003: 3-25.
  • 6MAIMISTOV A I. Solitons in nonlinear optics [J]. Quantum Electronics, 2010, 40: 756-781.
  • 7ZAYED E M E, ZEDAN H A, GEPREEL K A. On the solitary wave solutions for nonlinear Hirota~ Satsuma coupled KdV of equations [J]. Chaos, Solitons and Fractals, 2004, 22(2): 285-303.
  • 8KHURI S A. A complex tanh-function method applied to nonlinear equations of SchrSdinger type [J]. Chaos, Solitons and Fractals, 2004, 20(5): 1037-1040.
  • 9ABLOWITZ M J, CLARKSON P A. Solitons, nonlinear evolution equations and inverse scatte- ring [M]. Cambridge: Cambridge University Press, 1991: 70-100.
  • 10HIROTA R. The direct methods in soliton theory [M]. Cambridge: Cambridge University Press 2004: 157-168.

引证文献6

二级引证文献2

Communications in Theoretical Physics
2008年 第5期

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