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2010•Acta Physica SinicaOpen access

Nonlinear Schr?dinger equation for internal waves in deep sea

Song Shi-Yan, Jing Wang, Meng Jun-Min, Wang Jian-Bu, Hu Pei-Xin, (1)国家海洋局第一海洋研究所，青岛 266061; (2)中国海洋大学信息科学与工程学院，青岛 266100

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Abstract

Considering two-layer fluid bounded by the thermocline, under the condition of weak nonlinearity, based on the dynamic equations of two-layer fliud, the nonlinear Schrdinger equation for internal waves in deep sea is obtained by adopting hierarchical method. The coefficients of dispersion and nonlinearity are analysed, the soliton solution of the nonlinear Schrdinger equation is obtained, and the exactitude of the theory is demonstrated by a numerical experiment.

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What this paper is about

Considering two-layer fluid bounded by the thermocline, under the condition of weak nonlinearity, based on the dynamic equations of two-layer fliud, the nonlinear Schrdinger equation for internal waves in deep sea is obtained by adopting hierarchical method. The coefficients of dispersion and nonlinearity are analysed, the soliton solution of the nonlinear Schrdinger equation is obtained, and the exactitude of the theory is demonstrated by a numerical experiment.

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Available abstract

Considering two-layer fluid bounded by the thermocline, under the condition of weak nonlinearity, based on the dynamic equations of two-layer fliud, the nonlinear Schrdinger equation for internal waves in deep sea is obtained by adopting hierarchical method. The coefficients of dispersion and nonlinearity are analysed, the soliton solution of the nonlinear Schrdinger equation is obtained, and the exactitude of the theory is demonstrated by a numerical experiment.

Key concepts: Nonlinear system, Nonlinear Schrödinger equation, Physics, Thermocline, Dispersion (optics), Bounded function, Soliton, Internal wave

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