The Hirota-Satsuma Coupled KdV Equation and a Coupled Ito System Revisited : General Physics
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概要
- 論文の詳細を見る
The well-known Hirota-Satsuma coupled KdV equation and a coupled Ito system are reviewed. A new type of soliton solutions to these two systems under constant boundary condition at infinity is found. The so-called generalized Hirota-Satsuma coupled KdV system is also considered. Starting from its bilinear forms, we obtain a Backlund transformation and the corresponding nonlinear superposition formulae. As a result, soliton solutions first obtained by Satsuma and Hirota can be rederived. Moreover, rational solutions are also given.
- 社団法人日本物理学会の論文
- 2000-01-15
著者
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Ma Wen-xiu
Department Of Mathematics University Of South Florida
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Ma Wen-xiu
Department Of Mathematics City University Of Hong Kong
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Hu X‐b
Inst. Computational Mathematics And Scientific Engineering Computing Academia Sinica Beijing Chn
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Hu Xing-biao
State Key Laboratory Of Scientific And Engineering Computing Institute Of Computational Mathematics
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Hu Xing-biao
Institute Of Computational Mathematics And Scientific Engineering Computing Academy Of Mathematics A
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Hu Xing-biao
State Key Laboratory Of Scientific And Engineering Computing Institute Of Computational Mathematics
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TAM Hon-Wah
Department of Computer Science, Hong Kong Baptist University
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WANG Dao-Liu
State Key Laboratory of Scientific and Engineering Computing, Institute of Computational Mathematics
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Wang Dao-liu
State Key Laboratory Of Scientific And Engineering Computing Institute Of Computational Mathematics
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Tam Hon-wah
Department Of Computer Science Hong Kong Baptist University
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Tam H‐w
Department Of Computer Science Hong Kong Baptist University
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MA Wen-Xiu
Department of Mathematics, City University of Hong Kong
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TAM Hon-Wah/MA
Department of Computer Science, Hong Kong Baptist University/Department of Mathematics, City University of Hong Kong/State Key Laboratory of Scientific and Engineering Computing, Institute of Computational Mathematics and Scientific Engineering Computing,
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