Solitary Waves for the Generalized Nonautonomous Dual-Power Nonlinear Schrödinger Equations with Variable Coefficients
Year: 2019
Author: Jin Gao, Lijia Han, Yehui Huang
Journal of Nonlinear Modeling and Analysis, Vol. 1 (2019), Iss. 2 : pp. 251–260
Abstract
In this paper, we study the solitary waves for the generalized nonautonomous dual-power nonlinear Schrödinger equations (DPNLS) with variable coefficients, which could be used to describe the saturation of the nonlinear refractive index and the solitons in photovoltaic-photorefractive materials such as LiNbO3, as well as many nonlinear optics problems. We generalize an explicit similarity transformation, which maps generalized nonautonomous DPNLS equations into ordinary autonomous DPNLS. Moreover, solitary waves of two concrete equations with space-quadratic potential and optical super-lattice potential are investigated.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2019.251
Journal of Nonlinear Modeling and Analysis, Vol. 1 (2019), Iss. 2 : pp. 251–260
Published online: 2019-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Solitary waves dual-power law nonlinear Schrödinger equation variable coefficients.