Effective Numerical Methods for Simulating (2+1)D Three Wave Mixing

Abstract

The transparent boundary condition method (TBCM) is applied to solving the problem of three-wave mixing. The difference analogs of invariants (DAI) are shown to be conserved with optimal decrease of the transverse mesh step rather than the longitudinal one. The implemented numerical simulation demonstrated the efficiency of the considered approaches.

Keywords

Wave mixing boundary condition vortex soliton trapping invariant

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