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浅水波近岸行为分步傅里叶方法研究
引用本文:陈炯骆. 浅水波近岸行为分步傅里叶方法研究[J]. 陕西科技大学学报, 2010, 28(1): 142-144,152
作者姓名:陈炯骆
作者单位:暨南大学理工学院光电工程系,广东广州510632
摘    要:研究了用KdV方程模拟浅水波近岸的行为,如果用分步傅里叶方法,则水深变化导致的变系数KdV方程的非线性项存在局域性不好以及容易溢出等问题,作者用Matlab语言讨论了解决这些问题的简单方法,实现了浅水波近岸行为的快速分步傅里叶算法模拟,可模拟较长的传输距离,结果表明近岸水深减少导致水波峰值变大,前沿变陡,后沿变宽.

关 键 词:孤子  分步傅里叶方法  浅水波

STUDY ON THE BEHAVIOR OF SHALLOW-WATER WAVE NEAR SHORE WITH THE SPLIT-STEP FOURIER METHOD
CHEN Jiong-luo. STUDY ON THE BEHAVIOR OF SHALLOW-WATER WAVE NEAR SHORE WITH THE SPLIT-STEP FOURIER METHOD[J]. Journal of Shaanxi University of Science & Technology(Natural Science Edition), 2010, 28(1): 142-144,152
Authors:CHEN Jiong-luo
Affiliation:CHEN Jiong-luo(Department of Optoelectronic Engineering,Jinan University,Guangzhou 510632,China)
Abstract:Simulation for the behavior of nearshore shallow-water wave by the KdV equation is studied.With the split-step Fourier method,the nolinear term of the varying coefficient KdV equation caused by the change of the water depth have poor locality and easy overflow.In this paper,simple methods have been discussed to solve these problems by Matlab language,the behavior of nearshore shallow-water wave by the fast split-step Fourier algorithm is simulated as well as a rather long transmission distance.The results s...
Keywords:soliton  split-step Fourier  method  shallow-water wave  
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