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The Novel Solutions of the Toda Lattice

The Novel Solutions of the Toda Lattice
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摘要 The bilinear Bcklund transformation (BT) provides a means of finding multisoliton solutions of some non-linear evolution equations, where Hirota's technique is used. In this paper, the bilinear BT for Toda lattice was modified and then some novel solutions of the Toda lattice was constructed through the modified BT. The bilinear Bcklund transformation (BT) provides a means of finding multisoliton solutions of some non-linear evolution equations, where Hirota's technique is used. In this paper, the bilinear BT for Toda lattice was modified and then some novel solutions of the Toda lattice was constructed through the modified BT.
机构地区 SUN Mei-na
出处 《Journal of Shanghai University(English Edition)》 CAS 2004年第3期289-291,共3页 上海大学学报(英文版)
基金 ProjectsupportedbytheNationalNaturalScienceFoundationofChina (GrantNo .195 710 5 2 )
关键词 novel soliton solutions Hirota method Bcklund transformation (BT) Toda lattice. novel soliton solutions, Hirota method, Bcklund transformation (BT), Toda lattice.
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参考文献3

  • 1Nimmo J J C.Soliton solution of three differential difference equations inWronskian form[].Physics Letters A.1983
  • 2Hirota R.Exact solution of the KdV equation formultiple collisions of solitons[].Physical Review Letters.1971
  • 3Hirota R.A new form of B cklund transformation transformations and its relation to inverse scattering problem[].Progress of Theoretical Physics.1974

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