数学物理学报(英文版) ›› 1991, Vol. 11 ›› Issue (1): 48-55.
郭柏灵1, 潘兴德2
Guo Boling1, Pan Xingde2
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.