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題名 | A Note on a Three-Dimensional Bäcklund Transformation |
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作 者 | Huang, Xuncheng; Chang, Edward H. C.; | 書刊名 | International Journal of Applied Science and Engineering |
卷期 | 4:2 民95.09 |
頁次 | 頁215-220 |
分類號 | 331.5 |
關鍵詞 | Bäcklund transformation; Liouville equation; Superposition formula; |
語文 | 英文(English) |
英文摘要 | The Bäcklund transformation (BT) for a three-dimensional nonlinear wave equation and its nonlinear superposition formula are studied in this note. We prove that the three dimensional Bäcklund transformation obtained by Leibbrandt, et al. can be decomposed into three two-dimensional BTs. Some results on the N-dimensional Liouville equation are also discussed in the article |
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