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基于与实际海洋背景参数相关的广义高阶非线性薛定谔方程,首先讨论了不同的海洋环境参数对方程的非线性项和频散项的影响;然后通过有限差分算子给出了方程的二阶三层数值差分格式,并且分析了该差分格式的稳定性与精度阶;最后又通过得到的差分格式数值模拟了不同的海洋环境参数下深海内波的传播情况,结果显示:内波由深海向浅海的传播过程中,随着总水深的变化,发生了分裂现象,并且密度差之比越大,波的分裂速度越快.
Based on the generalized higher order nonlinear Schrödinger equation related to the actual ocean background parameters, the influences of different marine environmental parameters on the nonlinear and dispersion terms of the equation are discussed first. Then the second order of the equation is given by the finite difference operator Finally, the numerical simulation of the difference of the oceanic environment with different ocean environment parameters is carried out. The results show that the wave propagation from deep sea In the process of shallow sea propagation, the split phenomenon occurs with the change of the total water depth, and the greater the density difference ratio, the faster the wave splitting speed.