The ε correction of one and two solitons solutions for the KdV hierarchy
碩士 === 國立交通大學 === 應用數學系所 === 94 === In this thesis we study Darboux -Backlund transformations (DBTs) for the q-deformed Korteweg -de Vries hierarchy by using the q-deformed pseudodifferential operators. The elementary DBTs are triggered by the gauge operators T constructed from the wave functions of...
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2006
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ndltd-TW-094NCTU55070212016-05-27T04:18:37Z http://ndltd.ncl.edu.tw/handle/36285929176901613724 The ε correction of one and two solitons solutions for the KdV hierarchy ε對於q-KdV階層系統一孤立子和二孤立子解的修正 Hung-Jung Chen 陳宏榮 碩士 國立交通大學 應用數學系所 94 In this thesis we study Darboux -Backlund transformations (DBTs) for the q-deformed Korteweg -de Vries hierarchy by using the q-deformed pseudodifferential operators. The elementary DBTs are triggered by the gauge operators T constructed from the wave functions of the associated linear systems. In order to obtain the new solution from the old one , we have to choose certain gauge operator. Iterating these elementary DBTs, we obtain one and two solitons solutions. In addition we also figure out the correction of one and two solitons for the KdV hierarchy by letting ε equal to q − 1 and q approach 1(which will recovers q-KdV to the ordinary KdV). Jiin-Chang Shaw 邵錦昌 2006 學位論文 ; thesis 58 en_US |
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碩士 === 國立交通大學 === 應用數學系所 === 94 === In this thesis we study Darboux -Backlund transformations (DBTs) for the q-deformed Korteweg -de Vries hierarchy by using the q-deformed pseudodifferential operators.
The elementary DBTs are triggered by the gauge operators T constructed from the wave functions of the associated linear systems. In order to obtain the new solution from
the old one , we have to choose certain gauge operator. Iterating these elementary DBTs, we obtain one and two solitons solutions. In addition we also figure out the correction of one and two solitons for the KdV hierarchy by letting ε equal to q − 1 and q approach 1(which will
recovers q-KdV to the ordinary KdV).
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| author2 |
Jiin-Chang Shaw |
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Jiin-Chang Shaw Hung-Jung Chen 陳宏榮 |
| author |
Hung-Jung Chen 陳宏榮 |
| spellingShingle |
Hung-Jung Chen 陳宏榮 The ε correction of one and two solitons solutions for the KdV hierarchy |
| author_sort |
Hung-Jung Chen |
| title |
The ε correction of one and two solitons solutions for the KdV hierarchy |
| title_short |
The ε correction of one and two solitons solutions for the KdV hierarchy |
| title_full |
The ε correction of one and two solitons solutions for the KdV hierarchy |
| title_fullStr |
The ε correction of one and two solitons solutions for the KdV hierarchy |
| title_full_unstemmed |
The ε correction of one and two solitons solutions for the KdV hierarchy |
| title_sort |
ε correction of one and two solitons solutions for the kdv hierarchy |
| publishDate |
2006 |
| url |
http://ndltd.ncl.edu.tw/handle/36285929176901613724 |
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