A variable coefficient nonlinear Schrodinger equation with a four-dimensional symmetry group and blow-up

摘要

A canonical variable coefficient nonlinear Schrodinger equation with a four-dimensional symmetry group containing SL(2, R) group as a subgroup is considered. This typical invariance is then used to transform by a symmetry transformation a known solution that can be derived by truncating its Painleve-expansion and study blow-ups of these solutions in the L_p-norm for p>2, L_∞-norm and in the sense of distributions.