Characterization of soliton solutions in 2D nonlinear Schrödinger lattices by using the spatial disorder

Shih Feng Shieh*

*此作品的通信作者

研究成果: 雜誌貢獻期刊論文同行評審

摘要

In this paper, the pattern of the soliton solutions to the discrete nonlinear Schrödinger (DNLS) equations in a 2. D lattice is studied by the construction of horseshoes in l∞-spaces. The spatial disorder of the DNLS equations is the result of the strong amplitudes and stiffness of the nonlinearities. The complexity of this disorder is log(N+1) where N is the number of turning points of the nonlinearities. For the case N=1, there exist disjoint intervals I0 and I1, for which the state um,n at site (m,n) can be either dark (um,n∈I0) or bright (um,n∈I1) that depends on the configuration km,n=0 or 1, respectively. Bright soliton solutions of the DNLS equations with a cubic nonlinearity are also discussed.

原文英語
頁(從 - 到)736-749
頁數14
期刊Journal of Mathematical Analysis and Applications
415
發行號2
DOIs
出版狀態已發佈 - 2014 7月 15

ASJC Scopus subject areas

  • 分析
  • 應用數學

指紋

深入研究「Characterization of soliton solutions in 2D nonlinear Schrödinger lattices by using the spatial disorder」主題。共同形成了獨特的指紋。

引用此