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arXiv · 1711.08111

An perturbation-iteration method for multi-peak solitons in nonlocal nonlinear media

Weiyi Hong·Bo Tian·Rui Li·Qi Guo·Wei Hu
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Abstract

An perturbation-iteration method is developed for the computation of the Hermite-Gaussian-like solitons with arbitrary peak numbers in nonlocal nonlinear media. This method is based on the perturbed model of the Schr\"{o}dinger equation for the harmonic oscillator, in which the minimum perturbation is obtained by the iteration. This method takes a few tens of iteration loops to achieve enough high accuracy, and the initial condition is fixed to the Hermite-Gaussian function. The method we developed might also be extended to the numerical integration of the Schr\"{o}dinger equations in any type of potentials.

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Weiyi Hong, Bo Tian, Rui Li, Qi Guo, Wei Hu. 2017-11-22. An perturbation-iteration method for multi-peak solitons in nonlocal nonlinear media. https://doi.org/10.1364/josab.35.000317

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