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

Xing Zhu, Shangwen Liao, Zhen Cai, Yunli Qiu and Yingji He

Chaos, Solitons & Fractals, 2021, vol. 146, issue C

Abstract: Our results indicate that continuous soliton families can exist and be stable in Kerr media with two-dimensional (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.

Keywords: Two-dimensional complex potentials; Continuous families of solitons; Linear-stability spectra; Soliton stability (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:146:y:2021:i:c:s0960077921001909

DOI: 10.1016/j.chaos.2021.110837

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