Lump and optical dromions for paraxial nonlinear Schrödinger equation

Abstract

In this paper, we obtain lump soliton solutions for paraxial nonlinear Schrödinger equation (NLSE) with the aid of Hirota bilinear method (HBM). Lump soliton solutions are rational functions localized in all directions in the space. We also get optical dromions for paraxial NLSE by using the modified extended Tanh method. We get domain walls, singular dromions and combined dark-singular dromions. We also list the constraint conditions.