篇名 | A Note on a Three-Dimensional Bäcklund Transformation |
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卷期 | 4:2 |
作者 | Xuncheng Huang 、 Edward H. C. Chang |
頁次 | 215-220 |
關鍵字 | Bäcklund transformation 、 Liouville equation 、 superposition formula 、 Scopus |
出刊日期 | 200609 |
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.