Abstract
We investigate the behavior of nonlocal spatial optical solitons in a uniaxial nematic liquid crystal with a parabolic potential. The equations governing the system are solved using semi-analytic and numerical methods. We found that nematicons exist in the parabolic potential. These nematicons exhibit periodic oscillations in the presence of the parabolic potential. The wavelength of periodic oscillations was found to decrease linearly with increasing potential strength. Higher harmonics of nematicons can be generated by varying the strength of the parabolic potential. Using Bogoliobov-De-Genes equations, the stability of the stationary solution against small perturbation has been investigated.
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