Study of soliton propagation using the variational method

碩士 === 國立交通大學 === 光電(科學)研究所 === 83 === We have developed a variational method that can be applied to non-conservative systems. We have also developed a Mathematica program that can automatically generate variational equations directly on the computer. We...

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Bibliographic Details
Main Authors: T.T. Lin, 林再特
Other Authors: Y. Lai
Format: Others
Language:zh-TW
Published: 1995
Online Access:http://ndltd.ncl.edu.tw/handle/35646943113195182741
Description
Summary:碩士 === 國立交通大學 === 光電(科學)研究所 === 83 === We have developed a variational method that can be applied to non-conservative systems. We have also developed a Mathematica program that can automatically generate variational equations directly on the computer. We use these tools to study soliton phenomena.The propagation of a single soliton with various effects as well as the collision of two frequency-demultiplexed or polarization- demultiplexed solitons are studied.Direct numercial simulation is also performed to verify the accuracy of our variational method. We find that in most cases the variational method can give more physical,more computationally efficient,and reasonably accurate answers.