Integrability and soliton dynamics for an inhomogeneous nonlinear Schrödinger equation in an inhomogeneous plasma

Abstract

Under investigation in this paper is an inhomogeneous nonlinear Schrödinger equation, which describes the propagation of a large-wavelength small-amplitude electron plasma wave in a parabolic-distributed and constant-interactional-damping inhomogeneous plasma. Via the Hirota method, Bell-polynomial approach and symbolic computation, bilinear form, Bäcklund transformation and [Formula: see text]-soliton solutions are obtained. Influence of the linear density coefficient [Formula: see text] and damping coefficient [Formula: see text] on the soliton envelopes is also discussed, i.e. [Formula: see text] can affect the soliton position, while [Formula: see text] is related to the soliton intensity, velocity and phase shift. Periodically attractive and repulsive interactions are shown. Asymptotic analysis shows that the interactions between/among the solitons are elastic.