Elliptic fundamental, dipole and vortex solitons in nonlocal nonlinear media with linear anisotropic diffraction

Abstract

Abstract Elliptic fundamental, dipole and vortex solitons in nonlocal nonlinear media with linear anisotropic diffraction are investigated analytically and numerically. In particular we do this for the whole range of degrees of nonlocality. Analytical solutions for the solitons are obtained with the variational approach. The dynamics of elliptic solitons are also numerically demonstrated with the split-step Fourier transform method. With the help of linear anisotropic diffraction, stable elliptic fundamental and dipole solitons can be obtained. However, elliptic vortex solitons are always unstable and transfer into spiraling elliptic vortex solitons.