Homotopic mapping method of solitary wave solutions for generalized complex Burgers equation

doi:10.1088/1674-1056/19/10/100203

中国物理B ›› 2010, Vol. 19 ›› Issue (10): 100203-100203.doi: 10.1088/1674-1056/19/10/100203

Homotopic mapping method of solitary wave solutions for generalized complex Burgers equation

莫嘉琪¹, 陈贤峰²

(1)Department of Mathematics, Anhui Normal University, Wuhu 241000, China; Division of Computational Science, E-Institutes of Shanghai Universities at Shanghai Jiaotong University, Shanghai 200240, China; (2)Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China Division of Computational Science, E-Institutes of Shanghai Universities at Shanghai Jiaotong University, Shanghai 200240, China

收稿日期:2010-01-05 修回日期:2010-03-22 出版日期:2010-10-15 发布日期:2010-10-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 40876010), the Main Direction Program of the Knowledge Innovation Project of the Chinese Academy of Sciences (Grant No. KZCX2-YW-Q03-08), the R & D Special Fund for Public Welfare Industry (Meteorology) (Grant No. GYHY200806010), the LASG State Key Laboratory Special Fund, the Foundation of E-Institutes of Shanghai Municipal Education Commission (Grant No.E03004) and the Natural Science Foundation of Zhejiang Province of China (Grant No.Y6090164).

Homotopic mapping method of solitary wave solutions for generalized complex Burgers equation

Mo Jia-Qi(莫嘉琪)^a)c)^† and Chen Xian-Feng(陈贤峰)^b)c)

^a Department of Mathematics, Anhui Normal University, Wuhu 241000, China; ^b Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China; ^c Division of Computational Science, E-Institutes of Shanghai Universities at Shanghai Jiaotong University, Shanghai 200240, China

Received:2010-01-05 Revised:2010-03-22 Online:2010-10-15 Published:2010-10-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 40876010), the Main Direction Program of the Knowledge Innovation Project of the Chinese Academy of Sciences (Grant No. KZCX2-YW-Q03-08), the R & D Special Fund for Public Welfare Industry (Meteorology) (Grant No. GYHY200806010), the LASG State Key Laboratory Special Fund, the Foundation of E-Institutes of Shanghai Municipal Education Commission (Grant No.E03004) and the Natural Science Foundation of Zhejiang Province of China (Grant No.Y6090164).

摘要/Abstract

摘要： A class of generalized complex Burgers equation is considered. First, a set of equations of the complex value functions are solved by using the homotopic mapping method. The approximate solution for the original generalized complex Burgers equation is obtained. This method can find the approximation of arbitrary order of precision simply and reliably.

Abstract: A class of generalized complex Burgers equation is considered. First, a set of equations of the complex value functions are solved by using the homotopic mapping method. The approximate solution for the original generalized complex Burgers equation is obtained. This method can find the approximation of arbitrary order of precision simply and reliably.

Key words: homotopic mapping, solitary wave, Burgers equation

中图分类号: (Approximations and expansions)

02.30.Mv

02.30.Sa (Functional analysis) 05.45.Yv (Solitons)

莫嘉琪, 陈贤峰. Homotopic mapping method of solitary wave solutions for generalized complex Burgers equation[J]. 中国物理B, 2010, 19(10): 100203-100203.

Mo Jia-Qi(莫嘉琪) and Chen Xian-Feng(陈贤峰). Homotopic mapping method of solitary wave solutions for generalized complex Burgers equation[J]. Chin. Phys. B, 2010, 19(10): 100203-100203.

参考文献 25

[1]	McPhaden M J and Zhang D 2002 wxNature415 603
[2]	Gu D F and Philander S G H 1997 Science 275 805
[3]	Ma S H, Qiang J Y and Fang J P 2007 Acta Phys. Sin. 56 620 (in Chinese)
[4]	Ma S H, Qiang J Y and Fang J P 2007 Commun. Theor. Phys. 48 662
[5]	Loutsenko I 2006 Comm. Math. Phys. 268 465
[6]	Parkes E J 2008 Chaos, Solitons and Fractals 38 154
[7]	Li X Z and Wang M L 2007 Phys. Lett. A 361 115
[8]	Cheng X P, Lin J and Yao J M 2009 Chin. Phys. B 18 391
[9]	Sirendaoreji and Sun J 2003 Phys. Lett. A 309 387
[10]	Pan L X, Zuo W M and Yan J R 2005 Acta Phys. Sin.54 1 (in Chinese)
[11]	Liao S J 2004 Beyond Perturbation: Introduction to the Homotopy Analysis Method (New York: CRC Press Co.)
[12]	He J H and Wu X H 2006 Chaos, Solitions and Fractals 29 108
[13]	Mo J Q, Zhang W J and He M 2007 Acta Phys. Sin. 56 1843 (in Chinese)
[14]	Mo J Q 2009 Chin. Phys. Lett. 26 010204
[15]	Mo J Q 2009 Chin. Phys. Lett. 26 060202
[16]	Mo J Q 2009 Sci. Chin. Ser. G 39 568
[17]	Mo J Q, Zhang W J and He M 2006 Acta Phys. Sin. 55 3233 (in Chinese)
[18]	Mo J Q, Lin W T and Lin Y H 2007 Acta Phys. Sin. 56 3127 (in Chinese)
[19]	Mo J Q, Wang H, Lin W T and Lin Y H 2006 Chin. Phys. 15 671
[20]	Mo J Q, Lin W T and Wang H 2007 Chin. Phys. 16 951
[21]	Mo J Q and Yao J S 2008 Acta Phys. Sin. 57 7419 (in Chinese)
[22]	Mo J Q 2009 Acta Phys. Sin. 58 2930 (in Chinese)
[23]	Mo J Q and Lin W T 2008 Chin. Phys. B17 370
[24]	Mo J Q, Lin W T and Lin Y H 2009 Chin. Phys. B 18 3624
[25]	Jager E M and Jiang F R 1996 The Theory of Singular Perturbation (Amsterdam: North-Holland Publishing Co.)

Homotopic mapping method of solitary wave solutions for generalized complex Burgers equation

Homotopic mapping method of solitary wave solutions for generalized complex Burgers equation

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