International Journal of Applied Science and Engineering
Published by Chaoyang University of Technology

Xuncheng Huang1* and Edward H. C. Chang2

1 Yangzhou Polytechnic University 12-903 HaoYue Yuan, Moon ParkYangzhou, Jiangsu 225012 China
2 National Taipei College of Business321 Section 1, Chi-Nan Road, Taipei, Taiwan, R.O.C.


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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.

Keywords: Bäcklund transformation; Liouville equation; superposition formula

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Accepted: 2006-04-03
Available Online: 2006-08-25

Cite this article:

Huang, X., Chang, Edward H. C. 2006. A note on a Three-Dimensional bäcklund transformation. International Journal of Applied Science and Engineering, 4, 215–220.

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