期刊文献+

广义双sine-Gordon方程的新精确解 被引量:1

New Exact Solutions for the Generalized Double Sine-Gordon Equation
下载PDF
导出
摘要 借助符号计算系统,应用推广的tanh方法,获得了广义双sine-Gordon方程丰富的新精确解。 By applying a further extended tanh method via symbolic computation system, a rich variety of new exact solutions of generalized double sine-Gordon equation are obtained.
作者 闫志莲
出处 《安徽工业大学学报(自然科学版)》 CAS 2009年第1期92-95,共4页 Journal of Anhui University of Technology(Natural Science)
基金 山东省自然科学基金项目(Q2005A01) 安徽省教育厅自然科学基金项目(kJ2008B101)。
关键词 广义函数变换 精确解 sine—Gordon方程 general function transform exact solution double sine-Gordon equation
  • 相关文献

参考文献6

  • 1Olver Peter J. Applications of Lie group to differential equations [M]. New York: Springer-Verlag, 1993. 被引量:1
  • 2Wang Ming-liang, Zhou Yu-bin, Li Zhi-bin. Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics [J]. Physics Letter A, 1996, 216 (1): 67-75. 被引量:1
  • 3YAN Zhi-Lian LIU Xi-Qiang.Solitary Wave and Non-traveling Wave Solutions to Two Nonlinear Evolution Equations[J].Communications in Theoretical Physics,2005,44(3X):479-482. 被引量:6
  • 4Lou Sen-yue, Huang Guo-xiang, Ruan Hang-yu. Exact solitary wave in a convecting fluid [J]. Journal of Physics A: Mathematical and General, 1991, 24(11): L587-L590. 被引量:1
  • 5Wazwaz Abdul-Majid. The tanh method and a variable separated ODE method for solving double sine-Gordon equation [J]. Physics Letter A, 2006, 350(5/6): 367-370. 被引量:1
  • 6Liu Shi-kuo, Fu Zun-tao, Liu Shi-da. Exact solutions to sine-Gordon-type equations [J]. Physics Letter A, 2006, 351 (1/2): 59- 63. 被引量:1

二级参考文献10

  • 1E.G. Fan, Phys. Lett. A 265 (2000) 353. 被引量:1
  • 2S.K. Liu and S.D. Liu, Special Functions, Meteorology Prees, Beijing (1988) (in Chinese). 被引量:1
  • 3M.J. Ablowitz and P.A. Clarkson, Solitons, NonlinearEvolution Equations or Inverse Scattering Transform,Cambridge University Press, Cambridge (1990). 被引量:1
  • 4M.L. Wang, Phys. Lett. A 216 (1996) 671. 被引量:1
  • 5C.L. Bai, Commun. Theor. Phys. (Beijing, China) 34(2000) 729. 被引量:1
  • 6C.L. Bai, Commun. Theor. Phys. (Beijing,China) 35 (2001) 409. 被引量:1
  • 7C.L. Bai and H. Zhao, Commun.Theor. Phys. (Beijing, China) 41 (2004) 521. 被引量:1
  • 8X.Q. Liu, J. Partial Diff. Eqs. 17 (2004) 1. 被引量:1
  • 9X.Q. Liu and S. Jiang, Applied Math. and Comput. 158(2004) 177. 被引量:1
  • 10J.F. Zhang, Applied Mathematics and Mechanics 21(2004) 171. 被引量:1

共引文献5

同被引文献5

引证文献1

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