Localized Solitons of a (2+1)-dimensional Nonlocal Nonlinear Schr\"odinger Equation

Abstract

A new integrable (2+1)-dimensional nonlocal nonlinear Schr\"odinger equation is proposed. The $N$-soliton solution is given by Gram type determinant. It is found that the localized N-soliton solution has interesting interaction behavior which shows change of amplitude of localized pulses after collisions.