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Figure 1

From: Robust \({\bf{P}}{\bf{T}}\) symmetry of two-dimensional fundamental and vortex solitons supported by spatially modulated nonlinearity

Figure 1

Typical examples of stable solitons produced by the model with the \({\mathscr{P}}{\mathscr{T}}\)-symmetric imaginary potential defined by Eq. (3). (a) A fundamental single-peak soliton for \({\gamma }_{0}=1.2\) in Eq. (3) and propagation constant \(k=-\,3.2\) in Eq. (10). (b) A higher-order radial state of the single-peak soliton for \({\gamma }_{0}=0.2\) and \(k=-\,4\). (c) A double-peak soliton for \({\gamma }_{0}=1.4\) and \(k=-\,4\). In all the cases, \(\sigma =1\) and \(\beta =0\) are fixed in Eqs (3) and (9).

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