Abstract

From a generic transformation, a (3\(+\)1)-dimensional nonlinear Schrodinger equation with spatially modulated nonlinearity is studied and exact spatiotemporal soliton cluster solutions are derived. When the azimuthal parameter \(m = 0\), Gaussian solitons are constructed. For the modulation depth \(q = 1\) and the azimuthal parameter \(m\ne 0\), vortex solitons are obtained. In the limit \(q = 0\) and \(m\ne 0\), and for some specific values of the parameters (m, l), multipole solitons are presented.

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