An improved -Riccati Bنcklund transformation and its applications for the inhomogeneous nonlinear Schrِdinger model from plasma physics and nonlinear optics

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.