Sparsifying preconditioner for soliton calculations
arXiv:1511.037565 citationsh-index: 53
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This provides an incremental improvement in computational methods for soliton calculations in nonlinear optics.
The authors developed a robust and efficient method for soliton calculations in nonlinear Schrödinger equations using a sparsifying preconditioner with Newton's method, demonstrated on gap solitons in nonlinear optics.
We develop a robust and efficient method for soliton calculations for nonlinear Schrödinger equations. The method is based on the recently developed sparsifying preconditioner combined with Newton's iterative method. The performance of the method is demonstrated by numerical examples of gap solitons in the context of nonlinear optics.