Blow-up solutions to a class of generalized Nonlinear Schrodinger equations

In this paper, we'll present some new results of blow-up solution to some higher-order nonlinear Schrodinger equations. The initial boundary value problem is a generalized nonlinear Schrodinger equation u(t) - i Delta(3)u = f (u, D(x)u, D(x)(2)u) + Delta(3)g(u), u(x, 0) = u(0) (x), u vertical bar(partial derivative Omega) = 0 is studied. As an extension of u(t) - i Delta u = f (u, D(x)u, D(x)(2)u) and u(t) - i Delta u = -Delta g(u), the global non-existence and blow-up infinite time of solutions to this problems are proved. The conclusions are complementary to expound the blow-up of solution to nonlinear Schrodinger equations by using eigen-function method. Main results can be found in theorem 3.1 and theorem 4.1.