We Concentrate on the Presence of Radially Symmetric Single Waves For a Non-Linear Schrödinger-Poisson System. Rather Than Every Past Result, We Consider the Nearness of a Positive Potential, of Enthusiasm For Physical Applications.
We Present Another Dispersion-Velocity Particle Method For Approximating Solutions of Linear and Nonlinear Dispersive Equations. This Is the First Run Through In Which Particle Methods Are Being Utilized For Illuminating Such Equations. We Numerically Test Our New Method For an Assortment of Linear and Nonlinear Problems. Specifically We Are Occupied With Nonlinear Equations Which Create Structures That Have Non-Smooth Fronts. It Is Exceptional to See That Our Particle Method Is Equipped For Catching the Nonlinear Administration of a Compacton-Cotnpacton Sort Communication.