nonlinear schrodinger PDF

*To*: mathgroup at smc.vnet.net*Subject*: [mg7095] nonlinear schrodinger PDF*From*: "Weigang(Victor) Feng" <wfeng at cs.umb.edu>*Date*: Wed, 7 May 1997 01:58:18 -0400 (EDT)*Sender*: owner-wri-mathgroup at wolfram.com

Hi, there, when I try to solve the below eq using NDSolve, I met the below situation, I am novice to numerical PDF, is anybody can help to make it work? NDSolve[{1/2 D[y[x, t], t, t]+Abs[y[x,t]]^2 y[x,t] ==I D[y[x, t], x, x], y[x, 0] == Exp[-x^2], Derivative[0,1][y][x, 0] == 0, y[-5, t] == y[5, t]}, y, {x, -5, 5}, {t, 0, 5}] NDSolve::"mxst": "Maximum number of \!\(1000\) steps reached at the point \!\(t\) == \ \!\(3.93328131362742325`\)." NDSolve::"eerr": "Warning: Estimated spatial error at \!\(t\) = \!\(3.93328131362742325`\) \ is much greater than prescribed error tolerance. Grid spacing \ \!\(\*StyleBox[\"0.175438596491228064`\", Rule[PrintPrecision, 16], \ Rule[StyleBoxAutoDelete, True]]\) which was based on the initial conditions \ may be too large. A singularity may have formed or you may want to specify a \ smaller grid spacing using the StartingStepSize option." Out of memory. Exiting.