Analytical solutions to the (3+1)-dimensional generalized nonlinear Schrodinger equation with varying parameters

作者:Liang, Jianchu; Liu, Huiping; Liu, Fei; Yi, Lin*
来源:Journal of Physics A-Mathematical and Theoretical, 2009, 42(33): 335204.
DOI:10.1088/1751-8113/42/33/335204

摘要

Analytical solutions to the (3+1)-dimensional nonlinear Schrodinger 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.