Bio-inspired method for generating self-trapped beams in the nonlinear Schrodinger equation

We introduce a stochastic optimization technique to obtain self-trapped beams in the generalized nonlinear Schrodinger equation. The method is based on combining a variational approach with a bio-inspired method: the cuckoo search algorithm that relies on Levy flights. The proposed technique can be easily adapted to generate diverse self-trapped structures in a plethora of nonlinear media. Unlike the standard variational technique and some of the numerical algorithms previously reported, this algorithm allows for the optimization of different families of self-trapped beams concurrently.

Automated summary

This study introduces a stochastic optimization technique that combines a variational approach with the cuckoo search algorithm to generate diverse self-trapped structures and optimize different families of self-trapped beams simultaneously. This algorithm offers a new method for obtaining self-trapped beams in nonlinear media.