Abstract We consider the cubic nonlinear Schrödinger (NLS) equation set on a two-dimensional box of size L with periodic boundary conditions. By taking the large-box limit L → ∞ in the weakly ...

In this paper we give a sufficient condition on the cubic nonlinearity for the global existence of a small amplitude solution to the one dimensional Schrödinger equations with cubic nonlinearity, ...

The nature and co-ordinates of roots can be determined using the discriminant and solving polynomials as part of Bitesize Higher Maths ...