Multi-soliton propagation in a generalized inhomogeneous nonlinear Schroedinger-Maxwell-Bloch system with loss/gain driven by an external potential

Journal Article · Mon Apr 15 00:00:00 EDT 2013 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4798477· OSTI ID:22162875

Rajan, M. S. Mani ^[1]; Mahalingam, A. ^[2]

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1. Department of Physics, University College of Engineering, Anna University, Ramanathapuram-623513, Tamil Nadu (India)
2. Department of Physics, Anna University, Chennai 600 025 (India)

In this paper, we introduce a system of the nonlinear Schroedinger-Maxwell-Bloch equation with variable coefficients which represents the propagation of optical pulses in an inhomogeneous erbium doped fiber with loss/gain driven by an external potential. The one and two soliton solutions in explicit forms are generated by using the Darboux transformation and the associated Lax pair. We consider the distributed amplification system, and some main features of the solutions are demonstrated graphically. We also consider the concept of soliton propagation in a dispersion managed erbium doped fiber and through symbolic computation, we have carried out our study from an analytic viewpoint.

• OSTI ID: 22162875
• Journal Information: Journal of Mathematical Physics, Vol. 54, Issue 4; Other Information: (c) 2013 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BLOCH EQUATIONS
CALCULATION METHODS
DOPED MATERIALS
ERBIUM ADDITIONS
MATHEMATICAL SOLUTIONS
MAXWELL EQUATIONS
NONLINEAR PROBLEMS
OPTICAL FIBERS
SCHROEDINGER EQUATION
SOLITONS
TRANSFORMATIONS