Solitons in Kerr media with two-dimensional non-parity-time-symmetric complex potentials

Our results indicate that continuous soliton families can exist and be stable in Kerr media with twodimensional (2D) non-parity-time (PT)-symmetric complex potentials. There are several discrete eigenvalues in the linear spectra of these complex potentials. Fundamental solitons bifurcate from the largest discrete eigenvalue while the dipole solitons bifurcate from the second-or third-largest discrete eigenvalue. We further find that eigenvalues of the soliton linear-stability spectra emerge as complex conjugate pairs. The effect of different parameters of the complex potentials on soliton stability is discussed in detail. Moreover, we study the transverse energy flow vector of the solitons in these complex potentials. ? 2021 Elsevier Ltd. All rights reserved.

Automated summary

The study demonstrates the existence and stability of continuous soliton families in Kerr media with two-dimensional non-parity-time symmetric complex potentials. Discrete eigenvalues in the linear spectra of these complex potentials are observed, with fundamental solitons bifurcating from the largest discrete eigenvalue and dipole solitons from the second or third largest. Eigenvalues in the soliton linear-stability spectra are found to emerge as complex conjugate pairs, with the impact of different parameters on soliton stability discussed in detail. Additionally, transverse energy flow vectors of the solitons in these complex potentials are investigated.