期刊文献+

广义Zakharov-Kuznetsov方程的对称及精确解(英文) 被引量:4

Symmetries and explicit solutions of a generalized Zakharov-Kuznetsov equation
下载PDF
导出
摘要 利用改进的直接方法给出了一类广义Zakharov-Kuznetsov方程ut+auux+bu2ux+cuxxx+duxyy=0新显式解与旧显式解之间的关系,并且得到了该方程的对称.这些对称推广了已有文献中应用Steinberg s相似方法获得的结果.利用广义Zakharov-Kuznetsov方程新旧显式解之间的关系,本文在已有显式解的基础上给出了方程新的显式解.这些解对于研究某些复杂的物理现象,以及验证数值求解法则的可行性有重要的意义. Using an improved direct method,the relationship between new explicit solutions and old ones of a generalized Zakharov-Kuznetsov equation ut+auux+bu^2ux+cuxxx+duxyy=0 is presented.Applying the relationship to the given solutions in the previous reference,we derive some new explicit solutions of the Zakharov-Kuznetsov equation.These explicit solutions maybe provide a useful help for physicists to study more complicated physical phenomena and for mathematicians to check on the accuracy and reliability of numerical algorithm.The symmetry of the Zakharov-Kuznetsov equation is also presented, which generalizes the results obtained by the Steinberg's similarity method.
出处 《原子与分子物理学报》 CAS CSCD 北大核心 2007年第1期141-144,共4页 Journal of Atomic and Molecular Physics
基金 山东省自然科学基金(2004ZX16)
关键词 广义Zakharov-Kuznetsov方程 对称 显式解 精确解 generalized Zakharov-Kuznetsov equation,symmetry,explicit solution
  • 相关文献

二级参考文献11

  • 1Olver P J 1986 Application of Lie Group to Differential Equation (New York: Springer).
  • 2Bluman G W et al 1989 Symmetries and Differential Equations Appl. Math. Sci. 81 (New York: Springer).
  • 3Bluman G W and Cole J D 1969 J. Math. Mech. 18 1025.
  • 4Noether E 1918 Nachr. Kgnig. Gesell. Wissen Gottingen Math. Phys. K1 235.
  • 5Clarkson P A and Kruskal M 1989 J. Math. Phys. 30 2201.
  • 6Bluman G W and Cole J D 1974 Similarity Methods for Differential Equations Applied Mathematical Sciences (Berlin:Springer) vol 13.
  • 7Jimbo M and Miwa T 1983 Publ. Res. Inst. Math. Soc.Kyoto Univ. 19 943.
  • 8Dorrizzi B et al 1986 J. Math. Phys. 27 2848.
  • 9Lou S Y and Weng J P 1995 J. Math. Phys. 36 3492.
  • 10Lou S Y and Tang X Y 2001 Chin. Phys. 10 897.

共引文献20

同被引文献30

引证文献4

二级引证文献5

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