| Abstract: |
| In this paper we aim to demonstrate that the splitting by physical factors is applicable and can be efficient for solving of the nonlinear Schrodinger equation. Both the linear and nonlinear parts are treated by the Runge-Kutta method, the nonlinear term, however, is linearised by the so-called inner iteration. The method can be expanded and relatively easily applied for 2+1d Schroedinger equation by adding a coordinate splitting of the spatial coordinates as well as to the Manakov system. Then the procedure should be applied for each equation in the system. The conducted numerical simulations and their results are reliable and give good predictions for the material quantities and dynamics of the light. They give very good comparison with the previous papers of the authors got in another methods. |
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