数学物理学报(英文版) ›› 1991, Vol. 11 ›› Issue (1): 48-55.

• 论文 • 上一篇    下一篇

SIMILARITY TRANSFORMATION, THE STRUCTURE OF THE TRAVELING WAVES SOLUTION AND THE EXISTENCE OF A GLOBAL SMOOTH SOLUTION TO GENERALIZED KURAMOTO SIVASHINSKY TYPE EQUATIONS

郭柏灵1, 潘兴德2   

  1. 1. Inst. of Appl. Phys. & Comp. Math., Beijing, China;
    2. Dept. of Math., Zhejiang University, Hangzhou, China
  • 收稿日期:1989-01-02 出版日期:1991-03-25 发布日期:1991-03-25

SIMILARITY TRANSFORMATION, THE STRUCTURE OF THE TRAVELING WAVES SOLUTION AND THE EXISTENCE OF A GLOBAL SMOOTH SOLUTION TO GENERALIZED KURAMOTO SIVASHINSKY TYPE EQUATIONS

Guo Boling1, Pan Xingde2   

  1. 1. Inst. of Appl. Phys. & Comp. Math., Beijing, China;
    2. Dept. of Math., Zhejiang University, Hangzhou, China
  • Received:1989-01-02 Online:1991-03-25 Published:1991-03-25

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摘要： The existence of a global smooth solution for the initial value problem of generalized Kuramoto-Sivashinsky type equations have been obtained. Similarty siolutions and the structure of the traveling waves solution for the generalized KS equations are discussed and analysed by using the qualitative theory of ODE and Lie's infinitesimal transformation respectively.

Abstract: The existence of a global smooth solution for the initial value problem of generalized Kuramoto-Sivashinsky type equations have been obtained. Similarty siolutions and the structure of the traveling waves solution for the generalized KS equations are discussed and analysed by using the qualitative theory of ODE and Lie's infinitesimal transformation respectively.

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