Abstract
The mathematical model of the PT media with variable coefficients is introduced, and the spatiotemporal vortex and multi-pole mode solutions are derived by the bilinear transformation method. Then, the modulation propagation of the solutions is also studied. In addition, a novel control approach for constructing the distribution and the quantity of multi-vortex solitons by using different nonlinear hyperbolic tangent function are proposed. Finally, the effectiveness of the method is validated.
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