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Overview of Nonlinear Schrödinger Equations

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Schrödinger Equations in Nonlinear Systems

Abstract

The present chapter deals with an overview of nonlinear Schrödinger equations that are mainly used to investigate the dynamics of nonlinear matter waves of either the nonlinear transmission networks or the Bose–Einstein condensates: The one-dimensional cubic nonlinear Schröodinger equations including the standard and the dissipative cases, the derivative nonlinear Schrödinger equations, the inhomogeneous nonlinear Schrödinger equations, and the multicomponent nonlinear Schrödinger equations

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Authors and Affiliations

  1. Institute of Physics, Chinese Academy of Sciences, Beijing, China

    Wu-Ming Liu

  2. Department of Computer Science and Engineering, University of Quebec at Outaouais, Gatineau, QC, Canada

    Emmanuel Kengne

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  1. Wu-Ming Liu
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Correspondence to Wu-Ming Liu .

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Liu, WM., Kengne, E. (2019). Overview of Nonlinear Schrödinger Equations. In: Schrödinger Equations in Nonlinear Systems. Springer, Singapore. https://doi.org/10.1007/978-981-13-6581-2_1

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