Journal of Applied Sciences ›› 1999, Vol. 17 ›› Issue (3): 377-378.

• Articles • Previous Articles    

Analytic Solutions of a Reaction Diffusion System Arising in the Theory of Superconductivity

GU YUAN1, GUO BENYU2, GU YI3   

  1. 1. Department of Computer Science, Shandong University of Technology, Jinan 250061;
    2. Department of Mathematics, Shanghai University, Shanghai 201800;
    3. Department of Computer Science, Qingdao University, Qingdao 266071
  • Received:1997-12-05 Online:1999-09-30 Published:1999-09-30

Abstract: A reaction diffusion system arising in the theory of superconductivity is considered and its many kinds of analytic solutions are constructed by the Painlevé analysis and similarity reduction methods.

Key words: similarity reduction, analytic solution, reaction diffusion system, Painlevé property