某些高阶非线性Schrǒdinger方程解的爆破

On the Blowing up Properties of the Solution for Some Higher Order Nonlinear Schr dinger Equations

本文考虑方程ｕｔ＋ｉΔ２ｕ＝ｆ（ｕ， ｕ）的混合问题解的爆破性质。我们借助于爆破因子扩充了文［３］中某些相应结果。主要结果是定理１与定理２。

Abstract In this paper, we consider the Blowing-up of the solution for the mixed problem ut + iΔ2u = f(u, u) We extend some results in [3] by the method of blowing-up factor. The main results are theorem 1 and theorem 2.