深海内波非线性薛定谔方程的研究
Nonlinear Schr(o)dinger equation for internal waves in deep sea
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摘要: 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.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(o)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(o)dinger equation is obtained, and the exactitude of the theory is demonstrated by a numerical experiment.
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