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Chinese Physics, 2006, Vol. 15(11): 2500-2505    DOI: 10.1088/1009-1963/15/11/006
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The pth-order periodic solutions for a family of N-coupled nonlinear SchrOdingerequations

Liu Guan-Ting(刘官厅)
College of Mathematics Science, Inner Mongolia Normal University, Huhhot 010022, China
Abstract  By using the solutions of an auxiliary Lam\'e equation, a direct algebraic method is proposed to construct the exact solutions of $N$-coupled nonlinear Schr?dinger equations. The abundant higher-order exact periodic solutions of a family of $N$-coupled nonlinear Schr?dinger equations are explicitly obtained with the aid of symbolic computation and they include corresponding envelope solitary and shock wave solutions.
Keywords:  Lam\'e equation      $N$-coupled nonlinear Schr\"{o}dinger equations      higher-order periodic solution      symbolic computation  
Received:  03 March 2006      Revised:  18 June 2006      Accepted manuscript online: 
PACS:  02.30.Jr (Partial differential equations)  
  42.81.Dp (Propagation, scattering, and losses; solitons)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No 10461006).

Cite this article: 

Liu Guan-Ting(刘官厅) The pth-order periodic solutions for a family of N-coupled nonlinear SchrOdingerequations 2006 Chinese Physics 15 2500

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