Darboux transformation of the KdV equation
碩士 === 國立交通大學 === 應用數學系所 === 94 === In this thesis, we describe the classical form of Darboux transformation of KdV equation first. Next we discuss the Darboux transformation for AKNS system which is convenient for us when we calculate KdV equation. It can reduce the complexity successively. Finally...
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| Format: | Others |
| Language: | en_US |
| Published: |
2006
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| Online Access: | http://ndltd.ncl.edu.tw/handle/89470345309926523508 |
| Summary: | 碩士 === 國立交通大學 === 應用數學系所 === 94 === In this thesis, we describe the classical form of Darboux transformation of KdV equation first. Next we discuss the Darboux transformation for AKNS system which is convenient for us when we calculate KdV equation. It can reduce the complexity successively. Finally, we give an example to figure out one and two soliton solutions of KdV equation by using Darboux transformation for AKNS system. We can also derive the eigenfunction and eigenvalue of Schr¨odinger equation.
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