Affiliation:
1. School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, P. R. China
Abstract
In this paper, we consider coupled variable coefficients nonlinear Schrödinger equations (VCNLS), which can be used to describe the interaction among the modes in nonlinear optics and Bose–Einstein condensation. With the help of a gauge transformation of the spectral problem, the generalized Darboux transformation (DT) for the VCNLS is constructed. As an application of the generalized DT, we first derive the second-order and third-order semi-rational solutions of the VCNLS. In addition, we investigate the dynamics of the second-order and third-order semi-rational solutions with different coefficients. Finally we find that the coefficients [Formula: see text] and [Formula: see text] mainly affect the shape of the above solutions, while the amplification or absorption coefficient [Formula: see text] will change the amplitude. The obtained results will enrich the study of theory of the nonlinear localized waves.
Funder
Beijing Natural Science Foundation
Publisher
World Scientific Pub Co Pte Ltd
Subject
Condensed Matter Physics,Statistical and Nonlinear Physics