Painlevé property of the modified C-KdV equation and its exact solutions

doi:10.1088/1674-1056/19/6/060202

中国物理B ›› 2010, Vol. 19 ›› Issue (6): 60202-060202.doi: 10.1088/1674-1056/19/6/060202

Painlevé property of the modified C-KdV equation and its exact solutions

王惠, 董焕河, 王云虎, 王新赠

College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao 266510, China

收稿日期:2009-07-23 出版日期:2010-06-15 发布日期:2010-06-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No.~70971079) and the Science Foundation of the Educational Department of Shandong Province of China (Grant No.~J07YH01).

Painlevé property of the modified C-KdV equation and its exact solutions

Wang Hui(王惠)^†, Dong Huan-He(董焕河), Wang Yun-Hu(王云虎), and Wang Xin-Zeng(王新赠)

College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao 266510, China

Received:2009-07-23 Online:2010-06-15 Published:2010-06-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No.~70971079) and the Science Foundation of the Educational Department of Shandong Province of China (Grant No.~J07YH01).

摘要/Abstract

摘要： In this paper, the Painlevé properties of the modified C-KdV equation are verified by using the W-K algorithm. Then some exact soliton solutions are obtained by applying the standard truncated expansion method and the nonstandard truncated expansion method with the help of Maple software, respectively.

Abstract: In this paper, the Painlevé properties of the modified C-KdV equation are verified by using the W-K algorithm. Then some exact soliton solutions are obtained by applying the standard truncated expansion method and the nonstandard truncated expansion method with the help of Maple software, respectively.

Key words: Painlevé property, standard truncated expansion, nonstandard truncated expansion, exact solution

中图分类号: (Solitons)

05.45.Yv

02.30.-f (Function theory, analysis)

王惠, 董焕河, 王云虎, 王新赠. Painlevé property of the modified C-KdV equation and its exact solutions[J]. 中国物理B, 2010, 19(6): 60202-060202.

Wang Hui(王惠), Dong Huan-He(董焕河), Wang Yun-Hu(王云虎), and Wang Xin-Zeng(王新赠). Painlevé property of the modified C-KdV equation and its exact solutions[J]. Chin. Phys. B, 2010, 19(6): 60202-060202.

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Painlevé property of the modified C-KdV equation and its exact solutions

Painlevé property of the modified C-KdV equation and its exact solutions

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