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.
© 2000 Optical Society of America
Original Manuscript: October 26, 1999
Revised Manuscript: May 1, 2000
Published: July 20, 2000
Ping Shum, Siu Fung Yu, and Chao Lu, "Nonlinear soliton propagation by use of the split-step reconstruction technique," Appl. Opt. 39, 3632-3637 (2000)