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Analytical solutions to the (3+1)-dimensional nonlinear Schrödinger equation (NLSE) are obtained. It is the first time to our knowledge that analytical solutions to the three-dimensional NLSE with varying coefficients have been derived. The solutions are the generalization of analytical solutions to the one-dimensional NLSE. The properties of the amplitudes and the phases of the solutions are investigated.
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Liang et al. (2009) studied this question.
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