Elliptic Optical Soliton in Anisotropic Nonlocal Competing Cubic–Quintic Nonlinear Media

The propagation of elliptic optical beam in (1 + 2)-dimensional nonlocal competing cubic-quintic (CQ) nonlinear media was investigated analytically and numerically. The evolution equations for the parameters of the optical beam and the critical powers of stable propagation in x- and y-directions are obtained. Both the analytical and numerical solutions show that the stable elliptic optical solitons can be formed in nonlocal cubic, quantic, and competing CQ nonlinear media. The stability of soliton depends on the initial power, beamwidth, and characteristic length of the response function. In particular, there are bistable elliptic optical solitons in nonlocal media with self-focusing cubic and self-defocusing quintic nonlinearities when these nonlocal and nonlinear parameters are in the appropriate value domain.