Figure - uploaded by Eril Güray Çelik
Content may be subject to copyright.
Nonlinear evolution of the self-steepening soliton of Eq. (1) (with $\beta=1$ and $s=0.1$) in Eq. (1).
Source publication
We numerically investigate the existence and stability dynamics of self-steepening optical solitons in a periodic PT-symmetric potential. We show that self-steepening solitons of the modified nonlinear Schr\"odinger (MNLS) equation undergo a position shift and amplitude increase during their evolution in the MNLS equation. The stabilization of soli...
Similar publications
We investigate the dynamics and stability of 2D vortex dipole solitons in PT-symmetric lattices with nonlocal nonlinearity. Using the variational approach, we obtain analytical solutions from the proposed model while numerical simulations demonstrate the evolution of vortex dipole solitons. It is found that the depth of PT-symmetric lattices allows...
We study numerically the evolution of perturbed Korteweg-de Vries solitons and of well localized initial data by the Novikov-Veselov (NV) equation at different levels of the "energy" parameter $ E $. We show that as $ |E| \to \infty $, NV behaves, as expected, similarly to its formal limit, the Kadomtsev-Petviashvili equation. However at intermedia...
