An improved Γ-Riccati Bäcklund transformation and its applications for the inhomogeneous nonlinear Schrödinger model from plasma physics and nonlinear optics

Yu-Ping Liu, Yi-Tian Gao and Guang-Mei Wei

Physica A: Statistical Mechanics and its Applications, 2012, vol. 391, issue 3, 535-543

Abstract: The inhomogeneous nonlinear Schrödinger-type (NLS) model from certain plasmas and optical fibers is investigated with symbolic computation. An improved Γ-Riccati Bäcklund transformation (Γ-R BT) is presented, which can generate successively a hierarchy of solutions through algebraic manipulations. Based on the improved Γ-R BT, the Darboux transformation is obtained, the analytic one/two-soliton-like solutions are presented, and the physical characteristics of the influences of the coefficient parameters on the propagation of the soliton pulses are discussed graphically.

Keywords: Inhomogeneous nonlinear Schrödinger model; Bäcklund transformation; Darboux transformation; Symbolic computation (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:391:y:2012:i:3:p:535-543

DOI: 10.1016/j.physa.2011.08.058

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