Exact solutions for the (2+1)-dimensional Hirota-Maxwell-Bloch system

Kuralay Yesmakhanova, Gaukhar Shaikhova, Guldana Bekova, Ratbay Myrzakulov

2017

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DOI 10.1063/1.5000676
Data confidence 70 medium
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Abstract

In this paper, we consider the (2+1)-dimensional Hirota-Maxwell-Bloch system (HMBS) which with higher order effects usually governs the propagation of ultrashort pulses in nonlinear erbium doped fibers. Integrable condition of such system determined via the associated Lax pair is explicitly constructed. The (2+1)-dimensional HMBS admits reductions such as complex modified Korteweg de Vries-Maxwell-Bloch equations, Hirota system, Schrodinger-Maxwell-Bloch equations, nonlinear Schrodinger equations, complex modified Korteweg de Vries equations. We construct Darboux transformation and provide soliton solutions of the (2+1)-dimensional HMBS by using obtained Darboux transformation.