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广义偶合KdV孤子方程的达布变换及其精确解 被引量：4

Darboux Transformation of Generalized Coupled (KdV) Equation and its Exact Solution
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摘要 与广义偶合KdV孤子方程相联系的谱问题的达布变换在这篇文章中被讨论.迭布变换是用来产生广义偶合KdV孤子方程的精确解.孤子方程的一些有趣的解被得到. Darboux transformation of a spectral problem associated with generalized coupled Korteweg-de Vries （KdV） soliton equation is considered in the letter. It is used to generate new solutions of the soliton equation. some interesting solutions of the equation are obtained.
作者 刘萍 张荣
机构地区 西南师范大学数学与财经学院 洛阳大学基础部
出处 《洛阳师范学院学报》 2005年第5期1-5,共5页 Journal of Luoyang Normal University
关键词 达布变换 孤子方程 LAX对 精确解 Darboux transformation Lax pairs solutin equation exact solution
分类号 O175 [理学—基础数学]
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参考文献10

  • 1X.M. Li, X. G. G, Phys A 327 (2003) 357 - 370.
  • 2Y. S. Li, W. X. Ma, J. E. Zhang, Phys. Lett. A275(2000), 60-66.
  • 3Y. S. Li, J. E. Zhang, Phys. Lett. A 284 (2001),253 - 258.
  • 4JinShun Zhang, HuaXia Li, Darboux transformations of (2 + 1 ) - dimensional Levi soliton equation, Joural of ZhengZhou University Vol. 33 No. 3. Sep. 2001.
  • 5Engui fan. Darboux transformation and soliton-like solutions for the Gerdjikov-Ivanov equation. J. Phys. A.Math. Gen. 33(2000)6925 -6933. Printed in the UK.
  • 6M. J. Ablowitz, P. A. Clarkson, Solitons, Nonlinear Evolution and the Inverse Scattering, Cambridge University Press, Cambridge, 1991.
  • 7P. J. Olver, Applications of Lie Groups to Differential Equations, Vol. 107, Springer, NewYork, 1993.
  • 8E. D. Belokolos, A. I. Bobenco, etc, Approach to Nonlinear Integrable Equations, Springer, Berlin,1994.
  • 9C. H. Gu, etc, Soliton Theory and its Application, Zhejiang Publishign House of Science and Technology, Hangzhou China, 1990.
  • 10J. B. CHen, Chao. Soli. Frac. 19(2004)905-918.

同被引文献19

  • 1刘萍.Broer-Kaup系统的达布变换及其孤子解[J].数学物理学报（A辑）,2006,26(B12):999-1007. 被引量：11
  • 2Li Y S, Ma W X, Zhang J E, Darboux Transformation of Classical Boussinesq System and its New Solutions [J]. Phys Lett A, 2000, 275: 60-66.
  • 3Li Y S, Zhang J E. Darboux Transformation of Classical Boussinesq System and its Multi-Solition Solutions [J], Phys Lett A, 2001, 284: 253-258.
  • 4Geng X G, Tam H W, Darboux Transformation and Soliton Solutions for Generalized Nonlinear Schrodinger Equations[J]. Phys Soc Jpn, 1999, 68(5):1508-1512.
  • 5Fan E G. Darboux Transformation and Soliton-Like Solutions for the Gerdjikov-Ivanov Equation [J]. Phys A Math Gen,2000, 33: 6925-6933.
  • 6Wu T Y, Zhang J E, Cook L P, et al, Math is for Solving Problems [M], Philadelphia: SIAM, 1996: 233-241.
  • 7Wu T Y, Zhang J E, Cook L P, Roythurd V, Tulin M, eds. On Modelling a Nonlinear Long Wave. In: Math is for Solving Problems. SIAM, 1996. 233-241
  • 8Li Y S, Ma W X, Zhang J E. Darboux transformation of classical Boussinesq system and its new solutions. J Phys Lett A, 2000, 275: 60-66
  • 9Li Y S, Zhang J E. Darboux transformation of classical Boussinesq system and its multi-solition solutions. J Phys Lett A, 2001, 284: 253-258
  • 10Liu P, Zhang J S. Darboux transformation of Broer-Kaup system and its odd-soliton solutions. Journal of Southwest China Normal University(Natural Science), 2006, 31(5): 31-36

引证文献4

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洛阳师范学院学报
2005年 第5期

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