Theory of nonlocal soliton in nematic liquid crystal

The (1+1)D spatial optical soliton solutions in nematic liquid crystal are obtained in both weakly and strongly nonlocal limits. By an approximate calculation of the nonlocal nonlinear term in both cases, the propagation equation of beams is derived. In weakly nonlocal case, the solution can be gotten by directive integral and one hump soliton is shown. In strongly nonlocal case, the bright soliton solutions can be expressed by Bessel function, and the number of humps coincides with the number of eigenmodes, predicting the existence of multihump solitons. These results are in good agreement with numerical ones in other papers. The exact solutions are also compared with hyperbolic approximate analytic ones.