Two-component breather solution of the Hirota equation

G. T. Adamashvili

Tbilisi Ivane Javakhishvili State University, Tbilisi, Georgia

Abstract: Using the generalized perturbation reduction method the Hirota equation is transformed to the coupled nonlinear Schrödinger equations. A solution of the Hirota equation in the form of the two-component vector breather oscillating with the sum and difference of the frequencies and the wave numbers which coincide with the 0$\pi$ pulse of the self-induced transparency is obtained.

Keywords: generalized perturbation reduction method, two-component breather, Hirota equation.

Received: 30.09.2021
Revised: 11.10.2021
Accepted: 12.10.2021

DOI: 10.21883/PJTF.2022.03.51972.19041

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