广义Davey-Stewartson系统中驻波的稳定性

CERTAIN CONDITIONS ON STABILITY OF STANDING WAVES IN THE GENERALIZED DAVEY STEWARTSON SYSTEM

对非线性Ｓｃｈｒｏｄｉｎｇｅｒ方程中驻波的稳定性进行了研究，讨论了在广义Ｄａｖｅｙ－Ｓｔｅｗａｒｔｓｏｎ系统中稳定驻波的存在条件．

It is discussed that the stability of standing waves for the nonlinear Schrdinger equation. Under certain conditions, the existence of stable standing waves is proved. The conclusion is derived from the generalized Davey Stewartson system in the elliptic elliptic case.