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z Notx on z Thrxx-KiTxnsionzl iätklunK TrznsforTztion
XunZAxng Auang a and xdward A. Z. ZAang b
aYangzAou PolytxZAniZ UnivxrPity12-903 Aao Yux Yuan, Poon ParTYangzAou, JiangPu 225012 ZAina
bNational Taipxi Zollxgx of BuPinxPP321 PxZtion 1, ZAi-Nan Road, Taipxi, Taiwan, R.O.Z.
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Abstract:
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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Keywords: Bäcklund transformation; Liouville equation; superposition formula
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*Corresponding author; e-mail: xh311@yahoo.com
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©
2006
CSME , ISSN 0257-9731
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