Vortex and Gaussian Solitons of (3+1)-Dimensional Spatially Modulated Cubic-Quintic-Septimal Nonlinear Schrodinger Equation with External Potential

摘要

Based on the variable separation principle and the similarity transformation, vortex soliton solution of a (3+1)-dimensional cubic-quintic-septimal nonlinear Schrodinger equation with spatially modulated nonlinearity under the external potential are obtained in the spatially modulated cubic-quintic-septimal nonlinear media. If the topological charge m = 0 and m not equal 0, Gaussian solitons and vortex solitons can be constructed respectively. The shapes of vortex soliton possess similar structures when the value of l - m is same. Moreover, all phases of vortex solitons exist m-jump with the change of every jump as pi/m, m-jumps, and thus totally realize the azimuthal change of 2 pi around their cores.