摘要
研究了一类广义Schr dinger方程组的初值问题 :it +r△ =a(p+1)||p- 1 | ψ|q+1 ,iψt +s△ψ =b(q+1)|ψ|q- 1 ||p+1 ψ ,(0 ,x) =0 (x) , ψ(0 ,x) =ψ0 (x) ,得出了该初值问题的解在有限时间内爆破 .
This paper deals with the initial value problem of a generalized Schrdinger equation system i t+r△=a(p+1)|| p-1 |ψ| q+1 , i ψ t+s△ψ=b(q+1)|ψ| q-1 || p+1 ψ, (0,x)= 0(x), ψ(0,x)=ψ 0(x).It is proved that the solution of the initial value problem is blow up in finite time.
出处
《四川师范大学学报(自然科学版)》
CAS
CSCD
2002年第2期132-136,共5页
Journal of Sichuan Normal University(Natural Science)