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Abstract
By using the base equations technique and the transtormation relations to get new solutions of the base equations, we obtain some new multiple soliton solutions of n+1 dimensional nonlinear wave equations. Gibbon et al. pointed out that the number of the soliton in the multiple soliton solutions is constrainted by N≤2n+1. However, our result shows that their conclusion is not ture, the number of the soliton N may be an arbitrary positive integer.
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LOU SEN-YUE³,

HUANG GUO-XIANG¹,

NI GUANG-JIONG²
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[2]	Wu Yong-Qi.The periodic wave solution for a (3+1)-dimensional soliton equation. Acta Physica Sinica, 2010, 59(1): 54-59.doi:10.7498/aps.59.54
[3]	Ye Cai-Er, Zhang Wei-Guo.New multisoliton solutions for (2+1)-dimensional Konopelchenko-Dubrovsky equations. Acta Physica Sinica, 2010, 59(8): 5229-5234.doi:10.7498/aps.59.5229
[4]	Zhi Hong-Yan, Wang Qi, Zhang Hong-Qing.A series of new exact solutions to the (2+1)-dimensional Broer-Kau-Kupershmidt equation. Acta Physica Sinica, 2005, 54(3): 1002-1008.doi:10.7498/aps.54.1002
[5]	Wei Cai-Min, Xia Zun-Quan, Tian Nai-Shuo.New exact soliton-like solution for a generalized stochastic KdV equation. Acta Physica Sinica, 2005, 54(6): 2463-2467.doi:10.7498/aps.54.2463
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[8]	Zhang Jie-Fang, Guo Guan-Ping.Novel multi-soliton solutions of the breaking soliton equation. Acta Physica Sinica, 2003, 52(10): 2359-2362.doi:10.7498/aps.52.2359
[9]	Zhang Jie-Fang, Huang Wen-Hua, Zheng Chun-Long.Coherent soliton structures of a new (2+1) dimensional evolution equation. Acta Physica Sinica, 2002, 51(12): 2676-2682.doi:10.7498/aps.51.2676
[10]	ZHANG JIE-FANG.MULTIPLE SOLITON SOLUTIONS FOR THE APPROXIMATE EQUATION OF LONG WATER WAVE. Acta Physica Sinica, 1998, 47(9): 1416-1420.doi:10.7498/aps.47.1416
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[13]	FANG JIN-QING, YAO WEI-GUANG.INVERSE OPERATOR METHOD FOR SOLUTIONS OF NONLINEAR DYNAMICAL EQUATIONS AND SOME TYPICAL APPLICATIONS. Acta Physica Sinica, 1993, 42(9): 1375-1384.doi:10.7498/aps.42.1375
[14]	LIN FU-CHENG, ZHANG SHAN-SHAN, LIN HE.LASER TRANSITION CROSS SECTIONS OF YAP:Nd CRYSTALS AND SOME NEW APPLICATIONS IN LASERS. Acta Physica Sinica, 1978, 27(4): 361-374.doi:10.7498/aps.27.361
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[16]	LEE WEN-CHONG.AN INVESTIGATION OF A LOW-VOLTAGE SPARK DISCHARGE. Acta Physica Sinica, 1965, 21(8): 1511-1521.doi:10.7498/aps.21.1511
[17]	KU FU-NIEN.SOME PROPERTIES OF OPERATOR IN ELECTROMAGNETIC THEORY. Acta Physica Sinica, 1962, 18(12): 629-635.doi:10.7498/aps.18.629
[18]	.. Acta Physica Sinica, 1960, 16(2): 107-110.doi:10.7498/aps.16.107
[19]	.. Acta Physica Sinica, 1960, 16(3): 177-180.doi:10.7498/aps.16.177
[20]	Lin Wei-Kan.调频讯号的一些特性. Acta Physica Sinica, 1956, 12(2): 85-95.doi:10.7498/aps.12.85-1

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Vol. 39, Issue 9 - 1990-05-05

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