| Boiti－Leon－Manna－Pempinelli方程的Painleve性质Backlund变换、共形不变性和新的2＋1维Sinh－Gordon方程 |
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| 引用本文： | 吴祈贤,楼森岳. Boiti－Leon－Manna－Pempinelli方程的Painleve性质Backlund变换、共形不变性和新的2＋1维Sinh－Gordon方程[J]. 宁波大学学报(理工版), 1996, 0(4) |
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| 作者姓名： | 吴祈贤 楼森岳 |
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| 作者单位： | 宁波大学师范学院物理系 |
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| 基金项目： | 国家自然科学基金,浙江省自然科学基金 |
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| 摘 要： | 首先利用１＋１维ＫｄＶ方程的奇性流形方程的共形不变性，重新给出了１＋１维的ｓｉｎｈ－Ｇｏｒｄｏｎ万程。利用相同的思想万法，证明了ＢＬＭＰ万程的Ｐａｉｎｌｅｖé性质，给出ＢＬＭＰ方程的Ｂａｃｋｌｕｎｄ变换的同时，利用ＢＬＭＰ方程的Ｓｃｈｗａｒｔｚ形式的共形不变性，得到了一个新的２＋１维可积ｓｈＧ方程。
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| 关 键 词： | 共形不变性，奇性流形 |
PAINLEVE PROPERTY,BACKLUND TRANSFORMATION,CONFORMAL INVARIANCE OF THEBOTI-LEON-MANNA-PEMPINELLI EQUATION ANDA NEW (2 1)-DIMENSIONAL SINH-GORDON EQUATION |
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| Wu Qixian, Lou Senyue. PAINLEVE PROPERTY,BACKLUND TRANSFORMATION,CONFORMAL INVARIANCE OF THEBOTI-LEON-MANNA-PEMPINELLI EQUATION ANDA NEW (2 1)-DIMENSIONAL SINH-GORDON EQUATION[J]. Journal of Ningbo University(Natural Science and Engineering Edition), 1996, 0(4) |
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| Authors: | Wu Qixian Lou Senyue |
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| Abstract: | tarting from the conformal invariance of the singUlarity manifoldequation of the (1 1)-dimensional KdV equation, the (1 1)-dimensional sinh-Gordonequation was re-obtained. Using the same idea to the B ion-Leon-Manna-Pempinelli equation, a new (2 1) -dimensional sinh-Gordon equation was obtained. Some otherintegral properties such as the Painleve property and the existence of the Backlundtransformation are proved at the same time. |
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| Keywords: | conformal invariance singularity manifola |
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