Global existence for a class of cubic nonlinear Schrödinger equations in one space dimension
Global existence for a class of cubic nonlinear Schrödinger equations in one space dimension
In this paper, we prove the global existence of a small solution to the Cauchy problem for the nonlinear Schrödinger equation with a class of cubic nonlinearities in one space dimension. Moreover, we also consider the asymptotic behavior in large time of the solution. Our results says that two cubic …