Analytical optical soliton solutions of (2+1)-dimensional Schrödinger equation with PT-like potentials

Abstract

This paper studies the (2+1)-dimensional Schrödinger equation involving PT-like potentials. First, we transform the original equation to two partial differential equations. And then, for various imaginary part (should be an odd function), we construct different soliton solutions for different non-Kerr law nonlinearity. They are parabolic law, polynomial law and dual-power law.