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浅析孤立子理论中的达布变换

Analysis of Darboux Transformation in Soliton Theory
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摘要 介绍了孤立子理论的发展,及在求解非线性偏微分方程中的达布变换方法,及其该方法的起源和基本思想,并以KdV方程为例来详细说明达布变换方法。 In this paper, soliton theory is introduced and Darboux transformation is applied to solve the non - linear partial differential equations. Then the origin of Darboux transformation and the basie idea of this method are introduced. Finally, taking KdV equation for example, this paper explains Darboux transformation in detail.
作者 梁银双
出处 《中州大学学报》 2012年第2期126-128,共3页 Journal of Zhongzhou University
关键词 孤立子 达布变换 LAX对 KDV方程 Soliton Darboux transformation Lax pair KdV equation
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参考文献9

  • 1Ablowitz M J,Clarkson P A. Solitons&nonlinear evolution equations and Inverse Scattering[M].Cambridge:Cambridge University Press,1991.
  • 2Rogers C,Schief W K. Darboux Transformations,Geometry and Mordem Applications in Soliton Theory[M].Cambridge:Cambridge University Press,2002.
  • 3Matveev V B,Salle A M. Darboux Transformation and Solitons[M].Berlin:Springer-Verlag,1991.
  • 4Hirota R. The Direct Method in Soliton Theory[M].Cambridge:Cambridge University Press,2004.
  • 5范恩贵.齐次平衡法、Weiss-Tabor-Carnevale法及Clarkson-Kruskal约化法之间的联系[J].物理学报,2000,49(8):1409-1412. 被引量:64
  • 6Lou S Y,Chen L L. Formal variable separation apmach for nonintegrable models[J].Journal of Mathematical Physics,1999,(40):6491.
  • 7Lou S Y,Hu X B. Infinitely many Lax pairs and Symmetry constraints of the KP equation[J].Journal of Mathematical Physics,1997,(38):6401.
  • 8Tu G Z. A new Hierarchy of Integrable Systems and Its Hamiltonian Structures[J].Scientia Sinica,1988,(12):28.
  • 9谷超豪;胡和生;周子翔.孤立子中的Darboux变换及其几何应用[M]上海:上海科学技术出版社,1999.

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