中国物理B ›› 2005, Vol. 14 ›› Issue (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

何红生1, 陈江1, 杨孔庆2   

  1. (1)Department of Physics,Lanzhou University, Gansu 730000, China; (2)Department of Physics,Lanzhou University, Gansu 730000, China;Institute of Applied Physics, Jimei University, Xiamen 361021, China
  • 收稿日期:2004-07-02 修回日期:2005-05-30 出版日期:2005-10-20 发布日期:2005-10-20
  • 基金资助:
    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.

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   

  1. a Department of Physics,Lanzhou University, Gansu 730000, China; b Institute of Applied Physics, Jimei University, Xiamen 361021, China
  • Received:2004-07-02 Revised:2005-05-30 Online:2005-10-20 Published:2005-10-20
  • Supported by:
    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.

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摘要： 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.

关键词: extended F-expansion method, exact solutions, coupled K-G-S equations, Jacobi elliptic function

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.

Key words: extended F-expansion method, exact solutions, coupled K-G-S equations, Jacobi elliptic function

中图分类号:  (Solutions of wave equations: bound states)

  • 03.65.Ge
02.30.Mv (Approximations and expansions) 02.70.Wz (Symbolic computation (computer algebra)) 02.30.Gp (Special functions) 05.45.Yv (Solitons)