Threshold of global existence for 3-D attractive nonlinear Schrodinger equations under confined potentials
Based on a nonlinear critical index, a threshold of global existence on the L-2-norm of initial data for 3-D attractive nonlinear Schrodinger equations under confined potentials is derived. For numerical verification, a newly developed radial basis function method is applied in this paper to solve the related nonlinear scalar field equation in R-3. (C) 2002 Elsevier Science Ltd, All rights reserved.
global existence nonlinear schrodinger equation confined potential radial basis function