# Impact of near-PT symmetry on exciting solitons and interactions based on a complex Ginzburg-Landau model. (arXiv:1802.00857v1 [nlin.PS])

We present and theoretically report the influence of a class of

near-parity-time-(PT-) symmetric potentials with spectral filtering parameter

$\alpha_2$ and nonlinear gain-loss coefficient $\beta_2$ on solitons in the

complex Ginzburg-Landau (CGL) equation. The potentials do not admit

entirely-real linear spectra any more due to the existence of coefficients

$\alpha_2$ or $\beta_2$. However, we find that most stable exact solitons can

exist in the second quadrant of the $(\alpha_2, \beta_2)$ space, including on

the corresponding axes. More intriguingly, the centrosymmetric two points in

the $(\alpha_2, \beta_2)$ space possess imaginary-axis (longitudinal-axis)

symmetric linear-stability spectra. Furthermore, an unstable nonlinear mode can

be excited to another stable nonlinear mode by the adiabatic change of

$\alpha_2$ and $\beta_2$. Other fascinating properties associated with the

exact solitons are also examined in detail, such as the interactions and energy

flux. These results are useful for the related experimental designs and

applications.