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- W4224296887 abstract "The Schrödinger equation is a basic and key equation in quantum mechanics. In this thesis, we focus on the one-dimensional cubic-quintic nonlinear Schrödinger equation (CQNLSE). First, we introduce the general formulation of Schrödinger equation as well as some dynamic properties of the general nonlinear Schrödinger equation, including the mass and energy conservation. Second, we present four types of analytical solutions to the normalized CQNLSE and prove the conservation of energy of the CQNLSE. Third, we provide and analyze numerical methods, mainly finite difference methods and pseudo-spectral methods, for the CQNLSE under the zero far-field condition. Finally, we simulate the interaction of two bright solitons and dissect their condition and behavior before and after the collision." @default.
- W4224296887 created "2022-04-26" @default.
- W4224296887 creator A5089746710 @default.
- W4224296887 date "2022-04-22" @default.
- W4224296887 modified "2023-09-27" @default.
- W4224296887 title "Numerical methods and comparison for soliton solutions of the nonlinear Schrödinger equation" @default.
- W4224296887 doi "https://doi.org/10.1117/12.2628213" @default.
- W4224296887 hasPublicationYear "2022" @default.
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