Darboux transformation and positons of the inhomogeneous Hirota and the Maxwell-Bloch equation

Abstract

In this paper, we derive Darboux transformation of the inhomogeneous Hirota and the Maxwell-Bloch(IH-MB) equations which is governed by femtosecond pulse propagation through inhomogeneous doped fibre. The determinant representation of Darboux transformation is used to derive soliton solutions, positon solutions of the IH-MB equations.

arXiv commentaccepted by SCIENCE CHINA Physics, Mechanics & Astronomy. arXiv admin note: substantial text overlap with arXiv:1205.1191

References in corpus (4)

• Dynamics of a Bright Soliton in Bose-Einstein condensates with Time-Dependent Atomic Scattering Length in an Expulsive Parabolic Potential
• A generating mechanism for higher order rogue waves
• Nonautonomous "rogons" in the inhomogeneous nonlinear Schrodinger equation with variable coefficients
• Rogue waves of the Hirota and the Maxwell-Bloch equations

Cited by in corpus (3)

• Integrable Heisenberg Ferromagnet Equations with self-consistent potentials
• Darboux tranformation and solutions of the (2+1)-dimensional Schrödinger-Maxwell-Bloch equation
• The (2+1)-dimensional Hirota-Maxwell-Bloch equation: Darboux transformation and soliton solutions