期刊文献+

N-Fold Darboux Transformation for a Nonlinear Evolution Equation 被引量:2

下载PDF
导出
摘要 In this paper, we present a N-fold Darboux transformation (DT) for a nonlinear evolution equation. Comparing with other types of DTs, we give the relationship between new solutions and the trivial solution. The DT presented in this paper is more direct and universal to obtain explicit solutions. In this paper, we present a N-fold Darboux transformation (DT) for a nonlinear evolution equation. Comparing with other types of DTs, we give the relationship between new solutions and the trivial solution. The DT presented in this paper is more direct and universal to obtain explicit solutions.
作者 Yannan Zhao
机构地区 College of Science
出处 《Applied Mathematics》 2012年第8期943-948,共6页 应用数学(英文)
  • 相关文献

参考文献1

二级参考文献25

  • 1Olver P J 1996 Application of Lie Groups to Differential Equations (New York: Springer).
  • 2Bluman O W and Kumei S 1989 Symmetries and Differential Equations (New York: Springer).
  • 3Ovsiannikov L V 1982 Group Analysis of Differential Equations (New York: Academic).
  • 4Miller W 1977 Symmetry and Separation of Variables(Reading, MA: Addison-Wesley).
  • 5Kalnins E G Miller W 1985 J. Math. Phys. 26 2168.
  • 6Zhdanov R Z 1997 J. Math. Phys. 38 1197.
  • 7Dolye P W Vassiliou P J 1998 Int. J. Nonlinear Mech. 33315.
  • 8Cao C W 1990 Sci. Chin. A33 528.
  • 9Cheng Y and Li Y S 1991 Phys. Lett. A 175 22.
  • 10Lou S Y and Chen L L 1999 J. Math. Phys. 40 6491.

共引文献3

同被引文献12

引证文献2

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部