Abstract
A (2+1)-dimensional N-coupled cubic–quintic–septimal nonlinear Schrödinger equation with spatial distribution of nonlinearity and transverse modulation describes beam propagation of mutually incoherent components with different frequencies in cubic–quintic–septimal nonlinear material. From this equation with two-component case, coupled soliton solutions are analytically obtained. When the value of the modulation depth q is fixed as 0 and 1, vector multipole–multipole soliton, vector vortex–vortex soliton and scalar vortex soliton are found. When the soliton order number p adds, vector solitons all show the layer structures. The number of layer is decided by the value of p. The “petals” number of multipole solitons is determined by the value of the topological charge m.
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