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正弦-Gordon方程n孤子解的一致性

The Consistency of n Soliton Solutions to Sine-Gordon Equation
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摘要 正弦-Gordon方程是一种重要的非线性波动方程,其n孤子解具有Hirota表示与Wronski行列式表示形式,利用行列式的性质说明正弦-Gordon方程的这两种n孤子解的表示是一致的. Sine-Gordon equation is one of the important nonlinear wave differential equations.There are two forms of its n soliton solution,one is Hirota,and the other is Wronski.This paper proves the two forms of the solitons are consistent by merely using the character of determinant.
出处 《数学的实践与认识》 CSCD 北大核心 2013年第20期261-264,共4页 Mathematics in Practice and Theory
基金 滨州学院科研项目(BZXYL1207)
关键词 正弦-Gordon方程 孤子解 双线性导数 行列式 一致性 sine-Gordon equation soliton solution bilinear derivative determinant consistency
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参考文献4

  • 1Hirota R.Exact solution of the KdV equation formultiple collisions of solitons[M]. Phys Rev Lett 1971, 27: 1192-1194.
  • 2Satsum J. A wronskian representation of N-soliton solutions of nonlinear evolution equations[J] Phys Soc Jpn, 1979, 46: 359-360.
  • 3陈登远.Bcklund变换与n孤子解[J].Journal of Mathematical Research and Exposition,2005,25(3):479-488. 被引量:11
  • 4张大军,邓淑芳,陈登远.mKdV-SineGordon方程的多孤子解[J].数学物理学报(A辑),2004,24(3):257-264. 被引量:7

二级参考文献22

  • 1WAHLQUIST H D, ESTABROOK F B. Backlundtransformation for solution of the Korteweg-de Vries equation [J]. Phys. Rev. Lett., 1973, 23: 1386-1389.
  • 2李翊神.KdV方程的Darboux变换[R],在中国科技大学孤立子讨论班的报告[R].,1984..
  • 3HIROTA R. A new form of the Backlund transformations and its relation to inverse scattering problem [J].Progr. Theoret. Phys., 1974, 52: 1498-1512.
  • 4ABLOWITZ M J, SEGUR H. Solitons and the Inverse Scattering Transform [M]. SIAM Philadelphia, 1981.
  • 5FREEMAN N C, NIMMO J J C. Soliton solutions of the Korteweg-de Vries and Kadomtsev-Ketmiashvili equations: the wronskian technique [J]. Phys. Lett. A, 1983, 95: 1-3.
  • 6NIMMO J J C, FREEMAN N C. The use of Backlund transformat ions in obtaining N-soliton solutions in Wronskian form [J]. J. Phys. A: Math. Gen., 1984, 17(7): 1415-1424.
  • 7Gardner C S, Greene J M, Kruskal M D, Miura R M. Method forsolving the KdV equation. Phys Rev Lett, 1967,19:1095-1097
  • 8Ablowitz M J, Segur H. Soliton and the Inverse Scattering Transform. Philadelphia: SIAM, 1981
  • 9Ablowitz M J, Clarkson P A. Solitons, Nonlinear Evolution Equation and Inverse Scattering. Cambridge: Cambridge University Press, 1991
  • 10Hirota R. Exact solution of the KdV equation formultiple collisions of solitons. Phys Rev Lett, 1971, 27: 1192-1194

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