期刊文献+

(2+1)-Dimensional Analytical Solutions of the Combining Cubic-Quintic Nonlinear Schrdinger Equation 被引量:1

(2+1)-Dimensional Analytical Solutions of the Combining Cubic-Quintic Nonlinear Schrdinger Equation
原文传递
导出
摘要 We investigate analytical solutions of the(2+1)-dimensional combining cubic-quintic nonlinear Schrdinger(CQNLS) equation by the classical Lie group symmetry method.We not only obtain the Lie-point symmetries and some(1+1)-dimensional partial differential systems,but also derive bright solitons,dark solitons,kink or anti-kink solutions and the localized instanton solution.
作者 郭爱林 林机
出处 《Communications in Theoretical Physics》 SCIE CAS CSCD 2012年第4期523-529,共7页 理论物理通讯(英文版)
基金 Supported by the National Natural Science Foundation of China under Grant Nos. 10875106 and 11175158
关键词 classical Lie-group method symmetry reduced equation soliton solution 偏微分方程系统 三维解析解 五次非线性 Lie群 对称法 薛定谔 对称性 亮孤子
  • 相关文献

参考文献25

  • 1Yu.S. Kivshar and G.P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals, Academic, San Diego (2003).
  • 2Y. Siberberg, Opt. Lett. 15 (1990) 1282; B.A. Malomed,et al., J. Opt. B 7 (2005) R53.
  • 3X. Liu, L.J. Qian, and F.W. Wise, Phys. Rev. Lett. 82(1999) 4631.
  • 4I.N. Towers, B.A. Malomed,and F.W. Wise, Phys. Rev. Lett. 90 (2003) 123902.
  • 5A.S. Desyatnikov, A.A. Sukhorukov, and Y.S. Kivshar,Phys. Rev. Lett. 95 (2005) 203904.
  • 6A.S. Desyatnikov,Y.S. Kivshar, and L. Torner, Progress in Optics, ed. E.Wolf, Elsevier, Amsterdam (2005), Vol. 47, pp. 291-391.
  • 7D. Mihalache, et al., Phys. Rev. Lett. 88 (2002) 073902.
  • 8D. Mihalache, et al., Phys. Rev. Lett. 97 (2006) 073904.
  • 9R.J. Deissler and H.R. Brand, Phys. Rev. Lett. 42 (1994)478.
  • 10J.D. Moores, Opt. Commun. 96 (1993) 65.

同被引文献2

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