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中国物理学会期刊

深海内波非线性薛定谔方程的研究

CSTR: 32037.14.aps.59.1123

Nonlinear Schr?dinger equation for internal waves in deep sea

CSTR: 32037.14.aps.59.1123
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  • 考虑以跃层为界的两层分层流体,在弱非线性条件下,从分层流体的动力学基本方程组出发,应用多重尺度方法推导出描述深海内波的非线性薛定谔方程,分析方程中频散和非线性系数,求出非线性薛定谔方程的孤子解,并通过数值实验验证了理论的正确性.

     

    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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