内波KP方程的孤立子解及其模拟分析  

Soliton solution of internal wave KP equation and simulation analysis

作　　者：张小媛[1] 许晓革[1] 孟祥花[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）》2015年第2期67-70,共4页Journal of Beijing Information Science and Technology University

基　　金：国家自然科学基金项目(61471406);北京市优秀人才培养资助项目(2013D005007000003)

摘　　要：通过Hirota双线性方法,给出了内波KP方程的孤立子解。当总水深和密度变化率一定时,就上层水深变化对孤子振幅的影响进行了分析。发现在实际海洋中,对于上升型孤立波而言,上层水深越大,孤立波振幅越小;对于下降型孤立波而言,上层水深越大,孤立波振幅越大。最后结合亚洲海洋国际声学实验测得的浮标数据,将单孤子解模拟的内波图形、ASAR内波图像参数反演结果与实测数据进行了对比,模拟和反演结果与实测结果基本一致。The solition solutions of internal wave KP equation are obtained through the Hirota bilinear method. The influence of the depth of upper layer on amplitude is analyzed with constant depth and rate of density change. For ascendant internal waves, the greater the depth of the upper layer, the smaller the amplitude of internal waves. While for descendant waves, the greater the depth of the upper layer, the bigger the amplitude of internal waves. Internal waves are simulated by the single soliton solution and parameter is inverted with the ASAR image, and the results are basically consistent with the buoy measurements in the Asian Sea International Acoustics Experiment.

关 键 词：HIROTA双线性方法 内波KP方程 内波振幅 波形模拟 参数反演 

分 类 号：P731.24[天文地球—海洋科学]