Nonlinear soliton propagation by use of the split-step reconstruction technique

A split-step reconstruction technique is proposed to solve a nonlinear wave equation. A nonlinear wave equation can be segmented into a set of linear equations that can be solved in the time domain by use of the split-step reconstruction technique. With this technique, one can avoid the propagation errors that occur as a result of nonlinear wave equation splitting. We propose an adaptive mesh control to increase the speed with which nonlinear wave equations can be calculated.