基于非等谱变系数KdV方程的海洋内孤立波研究  

Internal solitary wave via the non-isospectral variable-coefficient Korteweg-de Vries equation

作　　者：王静涛[1] 许晓革[1] 孟祥花[1] 闻小永[1] 

机构地区：[1]北京信息科技大学理学院,北京100192

出　　处：《北京信息科技大学学报（自然科学版）》2013年第2期66-70,共5页Journal of Beijing Information Science and Technology University

基　　金：国家自然科学基金资助项目(61072145);北京市教育委员会科技计划面上项目(SQKM201211232016)

摘　　要：针对海洋内孤立波的参数反演问题,以非等谱变系数KdV方程为模型,提出了内孤立波振幅和波长的反演公式。通过该方法对南海东沙群岛北部地区出现的内孤立波现象进行反演,反演结果与实测结果基本一致。在此模型基础上,通过对不同参数下内孤立波传播图形的分析,发现各项系数对内孤立波的传播方向和传播速度均有影响,而只有β(t)对振幅有影响。In order to solve the problem of parameter inversion of ocean internal solitary waves, the inversion formulas of wavelength and amplitude are proposed in the model of the non-isospectral variable- coefficient Korteweg-de Vries equation. The parameters are inverted for northern Dongsha Islands area in South China Sea by utilizing the formula, and these inversion results are consistent with recorded wavelength and amplitude. On the basis of this equation, the graphic of propagation characteristics of ocean internal solitary waves are obtained in different parameters. The results indicate that all coefficients influence velocity and direction of solitary wave,but only β（t） affects its amplitude.

关 键 词：非等谱变系数KdV方程 单孤子解 参数反演 

分 类 号：P731.24[天文地球—海洋科学]