Extended Vector Solitons with Significantly Different Frequencies of the Polarization Components

JETP Letters. 2022. Vol. 115. No. 10. P. 634–637.

V. V. Tyutin

Translator: L. Mosina

An extended vector envelope soliton with significantly different frequencies of the polarization components is found. Coupled nonlinear Schrödinger equations, which include the difference in the response of an anisotropic medium to wave fields of different polarizations and different frequencies, are used as a model. The vector soliton differs from the well-known Manakov soliton in the ratio of the wavenumbers and frequencies of the polarization components. In the absence of difference in the response of an anisotropic medium to wave fields of different polarizations, the soliton coincides with the Manakov soliton. The conditions for the existence of the vector soliton are determined. The numerical experiment confirms the stability of the analytical solution.

Keywords: устойчивость, stability, связанные нелинейные уравнения Шредингера, векторные солитоны, анизотропия, Vector Solitons, anisotropy, coupled nonlinear Schroedinger equations