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Darboux Transformation of a Differential-Difference Equation and Its Explicit Solutions 被引量：1

Darboux Transformation of a Differential-Difference Equation and Its Explicit Solutions
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摘要 The Darboux transformation of a differential-difference equation associated with a 3 × 3 matrix spectral problem is derived. As an application, explicit soliton solutions of the differential-difference equation are presented. The Darboux transformation of a differential-difference equation associated with a 3 × 3 matrix spectral problem is derived. As an application, explicit soliton solutions of the differential-difference equation are presented.
作者 李文敏 耿献国
机构地区 Department of Mathematics College of Life Sciences
出处 《Chinese Physics Letters》 SCIE CAS CSCD 2006年第6期1361-1364,共4页 中国物理快报（英文版）
基金 Supported by the National Natural Science Foundation of China under Grant No 10471132.
分类号 O175 [理学—基础数学]
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参考文献11

  • 1Ablowitz M J and Segur H 1981 Solitons and the Inverse Scattering Transform (Philadelphia, PA: SIAM) p 1.
  • 2Faddeev L D and Takhtajan L A 1987 Hamiltonian Methods in the Theory of Solitons (Berlin: Springer) p 356.
  • 3Arnold V I and Novikov S P 1990 Dynamical Systems Ⅳ (Berlin: Springer) p 161.
  • 4Ablowitz M J and Clarkson P A 1991 Solitons, Nonlinear Evolution Equations and Inverse Scattering (Cambridge: Cambridge University Press) p 105.
  • 5Novikov S P et al 1984 Theory of Solitons, the Inverse Scattering Methods (New York: Consultants Bureau) p 85.
  • 6Hirota R 2004 The Direct Method in Soliton Theory (Cambridge: Cambridge University Press) p 1.
  • 7Matveev V B and Salle A M A 1991 Darboux Transformation and Solitons (Berlin: Springer-Verlag) p 97.
  • 8Gu C H, Hu H S and Zhou Z X 1999 Darboux Transformation in Soliton Theory and its Geometric Applications (Shanghai: Science and Technology) p 76.
  • 9Geng X G 1989 Acta Math. Sci. 9 21.
  • 10Geng X G and Tam H W 1999 J. Phys. Soc. Jpn. 68 1508.

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Chinese Physics Letters
2006年 第6期

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