Darboux tranformation and solutions of the (2+1)-dimensional Schrödinger-Maxwell-Bloch equation

2014/02/19 by Gaukhar Shaikhova, Kuralay Yesmakhanova, Shaikhova, G. +5
Physics and Astronomy · #Advanced Fiber Laser Technologies #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Nonlinear Photonic Systems #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1402.4669

openalex publication_date 2014/02/19 · openalex created_date 2016/11/30 · openalex updated_date 2026/07/28

Abstract

In this paper, we construct a Darboux transformation (DT) of the (2+1)-dimensional Schrödinger-Maxwell-Bloch equation (SMBE) which is integrable by the Inverse Scattering Method. Using this DT, the one-soliton solution and periodic solution are obtained from the "seed" solutions.

Citations

• On the integrable inhomogeneous Myrzakulov I equation
• Darboux transformation and positons of the inhomogeneous Hirota and the Maxwell-Bloch equation

Related

• The (2+1)-dimensional Hirota-Maxwell-Bloch equation: Darboux transformation and soliton solutions
• Darboux transformation and positons of the inhomogeneous Hirota and the Maxwell-Bloch equation
• Application of Darboux Transformation to solve Multisoliton Solution on Non-linear Schrödinger Equation
• Construction of exact solutions of Bloch-Maxwell equation based on Darboux transformation
• A binary Darboux transformation for multi-component nonlinear Schrödinger equations and dark vector soliton solutions