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The effect of the Kerr nonlinearity on a sinh-Gaussian beam is investigated by using the nonlinear Schrödinger equation (NLS). Based on the method of moments, the evolution of the sinh-Gaussian beam width in the root-mean-square (RMS) sense is analytically described. Numerical simulations indicate that the central parts of each lobe of the sinh-Gaussian beam give rise to initially radial compression...
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