Based on the variable separation principle and the similarity transformation, vortex soliton solution of a （3＋1）-dimensional cubie-quintic-septimal nonlinear Schrodinger equation with spatially modulated nonlineari...Based on the variable separation principle and the similarity transformation, vortex soliton solution of a （3＋1）-dimensional cubie-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 ≠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 2π/m-jumps, and thus totally realize the azimuthal change of 21r around their cores.展开更多
文摘Based on the variable separation principle and the similarity transformation, vortex soliton solution of a （3＋1）-dimensional cubie-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 ≠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 2π/m-jumps, and thus totally realize the azimuthal change of 21r around their cores.
