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驻定CG方程解的参数表示 被引量：2

PARAMETRIC REPRESENTATION OF THE SOLUTION OF STATIONARY CG EQUATION
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摘要 用新方法给出了ＣＧ方程，并证明任一驻定ＣＧ方程的解均有可积的Ｂａｒｇｍａｎｎ坐标表示． A new approach to CG soliton equation is used and it is proved that every finite band potential u v ,which is the solution of the stationary CG has a parametric representation u v = f ( ψ ),where ψ is a solution of a finite dimensional integrable system obtained through the nonlinearization of the CG eigenvalue problem.
作者 杜殿楼
机构地区 郑州大学系统科学与数学系
出处 《郑州大学学报（自然科学版）》 1998年第1期12-17,共6页 Journal of Zhengzhou University (Natural Science)
基金 国家自然科学基金
关键词 驻定方程 Bargmann坐标 可积系 CG方程 解 stationary equation Bargmann coordinate surjection integrable system representation
分类号 O175.29 [理学—基础数学]
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参考文献11

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共引文献2

同被引文献7

  • 1Drinfeld V G, Sokolov V V. Equations of Korteweg-de Vries type and simple Lie algebras [J]. Dokl Akad Nauk SSSR, 1981, 258(1) :11 -16.
  • 2Satsuma J, Hirota R. A coupled KdV equation is one of the four-reduction of the KP hierarchy [ J ]. J Phys Soc Japan, 1982, 51 (10) :3390 - 3397.
  • 3Karsau A, Sarkovich S Y. Biicklund transformation and special solutions for Drinfeld-Sokolov-Satsuma-Hirota system of coupled equations[J]. J Phys A:Math Gen, 2001, 34(36):7353-7358.
  • 4Wazwaz A M. The Cole-Hopf transformation and multiple soliton solutions for the integrable sixth-order Drinfeld-Sokolov-Satsuma-Hirota equation[ J]. Appl Math Comput, 2009,207 ( 1 ) :248 - 255.
  • 5Tu G Z. A trace identity and its applications to the theory of discrete integrable systems[J]. J Phys A:Math Gen,1990,23 (17) : 3903 - 3922.
  • 6耿献国.DARBOUX TRANSFORMATION OF THE DISCRETE ABLOWITZ-LADIK EIGENVALUE PROBLEM[J].Acta Mathematica Scientia,1989,9(1):21-26. 被引量：8
  • 7李雪梅,杨运平.高阶耦合非线性Schrdinger方程的单孤子解[J].郑州大学学报（理学版）,2002,34(3):13-15. 被引量：2

引证文献2

郑州大学学报（自然科学版）
1998年 第1期

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