Novel wave structures in the two-dimensional cubic-quintic nonlinear Schrodinger equation with space-modulated potential and nonlinearities

We investigate the two-dimensional cubic-quintic nonlinear Schrodinger (CQNLS) equation with space-modulated potential and nonlinearities, which describes the nonlinear wave interactions in nonlinear optics and Bose-Einstein condensates. We use the modified conformal mapping, the Cauchy-Riemann equation, and its extension to present many types of new wave structures of this CQNLS model for different external potentials and nonlinearities, which exhibit bright-like and dark-like solitons, vortex solitons, and other types of wave solutions. Moreover, we also analyze the velocity fields and transverse power-flow or Poynting vectors related to the obtained wave solutions and find the direct relationships between the velocity fields and transverse power-flow or Poynting vectors.