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Chinese Physics, 2005, Vol. 14(10): 1926-1931    DOI: 10.1088/1009-1963/14/10/002
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Exact solutions for the coupled Klein--Gordon--Schr?dinger equations using the extended F-expansion method

He Hong-Sheng (何红生)a, Chen Jiang (陈江)a, Yang Kong-Qing (杨孔庆)ab
a Department of Physics,Lanzhou University, Gansu 730000, China; b Institute of Applied Physics, Jimei University, Xiamen 361021, China
Abstract  The extended F-expansion method or mapping method is used to construct exact solutions for the coupled Klein-Gordon SchrOdinger equations (K-G-S equations) by the aid of the symbolic computation system Mathematica. More solutions in the Jacobi elliptic function form are obtained, including the single Jacobi elliptic function solutions, combined Jacobi elliptic function solutions, rational solutions, triangular solutions,soliton solutions and combined soliton solutions.
Keywords:  extended F-expansion method      exact solutions      coupled K-G-S equations      Jacobi elliptic function  
Received:  02 July 2004      Revised:  30 May 2005      Accepted manuscript online: 
PACS:  03.65.Ge (Solutions of wave equations: bound states)  
  02.30.Mv (Approximations and expansions)  
  02.70.Wz (Symbolic computation (computer algebra))  
  02.30.Gp (Special functions)  
  05.45.Yv (Solitons)  
Fund: Project supported by the National Nature Science Foundation of China (Grant No 49894190) of the Chinese Academy of Science (Grant No KZCXI-sw-18), and Knowledge Innovation Program.

Cite this article: 

He Hong-Sheng (何红生), Chen Jiang (陈江), Yang Kong-Qing (杨孔庆) Exact solutions for the coupled Klein--Gordon--Schr?dinger equations using the extended F-expansion method 2005 Chinese Physics 14 1926

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