A variable coefficient nonlinear Schrödinger equation with a four-dimensional symmetry group and blow-up of its solutions

الأصل · EN

A canonical variable coefficient nonlinear Schrödinger equation with a four dimensional symmetry group containing (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 Painlevé expansion and study blow-ups of these solutions in the Lₚ-norm for p>2, L∞-norm and in the sense of distributions.