-
The problem of solving a class of disturbed Burgers equation is considered. Using the homotopic mapping method and theory ,the approximate solution with arbitrary degree of accuracy for the solitary wave is obtained.
-
Keywords:
- nonlinear /
- soliton /
- homotopic mapping /
- approximate solution
[1] [1]Gu D F, Philander S G H 1997 Science 275 805
[2] [2]McPhaden M J, Zhang D 2002 Nature 415 603
[3] [3]Loutsenko I 2006 Comm. Math. Phys. 268 465
[4] [4]Parkes E J 2008 Chaos Solitons Fractals 38 154
[5] [5]Ma S H, Qiang J Y, Fang J P 2007 Comm. Theor. Phys. 48 662
[6] [6]Gedalin M 1998 Phys. Plasmas 5 127
[7] [7]Ma S H, Qiang J Y, Fang J P 2007 Acta Phys. Sin. 56 620 (in Chinese) [马松华、强继业、方建平 2007 物理学报 56 620]
[8] [8]Wang L S, Xu D Y 2003 Science in China E 32 488 (in Chinese) [王林山、徐道义 2003 中国科学 E 32 488]
[9] [9]Yang J R, Mao J J 2008 Chin. Phys. Lett. 25 1527
[10] ]Gao Y, Tang X Y 2007 Commum. Theor. Phys. 48 961
[11] ]Yang J R, Mao J J 2008 Chin. Phys. 17 4337
[12] ]Pan L X, Zuo W M, Yan J R 2005 Acta Phys. Sin. 54 1 (in Chinese) [潘留仙、左伟明、颜家壬 2005 物理学报 54 1]
[13] ]Lu D C, Hong B J, Tian L X 2006 Acta Phys. Sin. 55 5617 (in Chinese) [卢殿臣、烘宝剑、田立新 2006 物理学报 55 5617]
[14] ]Tapgetusang, Sirendaoerji 2009 Acta Phys. Sin. 58 2121 (in Chinese) [套格图桑、斯仁道尔吉 2009 物理学报 58 2121]
[15] ]Parkes E J, DuffyB R 1996 Comput. Phys. Commun. 98 288
[16] ]Wang ML 1995 Phys. Lett. A 199 169
[17] ]Sirendaoreji , SunJ 2003 Phys. Lett. A 309 387
[18] ]Liu S K, Fu Z T, Liu S D, Zhao Q 2002 Acta Phys. Sin. 51 10(in Chinese) [刘式适、付遵涛、刘式达、赵强 2002 物理学报51 10]
[19] ]Fan E G 2000 Phys. Lett. A 277 212
[20] ]Elwakil S A, El-labany S K, Zaharan M A 2002 Phys. Lett. A 299 179
[21] ]Mo J Q, Lin W T,Zhu J 2004 Prog. Nat. Sci. 14 1126
[22] ]Mo J Q, Lin W T 2005 Chin. Phys. 14 875
[23] ]Mo J Q, Lin W T, Wang H 2006 Chin. Phys. 15 578
[24] ]Mo J Q, Wang H, Lin W T, Lin Y H 2006 Chin. Phys. 15 671
[25] ]Mo J Q, Lin W T, Wang H 2007 Chin. Phys. 16 578
[26] ]Mo J Q, Lin W T, Wang H 2007 Chin. Phys. 16 951
[27] ]Mo J Q, Lin W T 2008 Chin. Phys. B 17 370
[28] ]Mo J Q, Lin W T 2008 Chin. Phys. B 17 743
[29] ]Mo J Q, Wang H, Lin W T, Lin Y H 2006 Acta Phys. Sin. 55 6(in Chinese) [莫嘉琪王辉、林万涛、林一骅 2006物理学报 55 6]
[30] ]Mo J Q, Zhang W J, He M 2007 Acta Phys. Sin. 56 1843 (in Chinese) [莫嘉琪、张伟江、何铭 2007 物理学报 56 1843]
[31] ]Mo J Q, Chen L H 2008 Acta Phys. Sin. 57 4646 (in Chinese) [莫嘉琪、陈丽华2008 物理学报 57 4646]
[32] ]Mo J Q 2009 Acta Phys. Sin. 58 2930 (in Chinese) [莫嘉琪2009 物理学报 58 2930]
[33] ]Mo J Q, Chen Y 2009 Acta Phys. Sin. 58 4379(in Chinese) [莫嘉琪、程燕2009物理学报58 4379]
[34] ]Mo J Q 2009 Acta Phys. Sin. 58 695 (in Chinese) [莫嘉琪 2009 物理学报 58 695]
[35] ]Liao S J 2004 Beyond Perturbation: Introduction to the Homotopy Analysis Method (New York: CRC Press Co)
[36] ]He J H 2002 Approximate Analytical Methods in Engineering and Sciences (Zhengzhou: Henan Science and Technology Press) (in Chinese) [何吉欢 2002 工程和科学计算中的近似非线性分析方法 (郑州 河南科学技术出版社)]
[37] ]Wahl quist H D,Estabrook FB 1975 J. Math. Phys. 16 1
[38] ]Zhang G X, Li Z B,Duan Y S 2000 Science in China A 12 1103
-
[1] [1]Gu D F, Philander S G H 1997 Science 275 805
[2] [2]McPhaden M J, Zhang D 2002 Nature 415 603
[3] [3]Loutsenko I 2006 Comm. Math. Phys. 268 465
[4] [4]Parkes E J 2008 Chaos Solitons Fractals 38 154
[5] [5]Ma S H, Qiang J Y, Fang J P 2007 Comm. Theor. Phys. 48 662
[6] [6]Gedalin M 1998 Phys. Plasmas 5 127
[7] [7]Ma S H, Qiang J Y, Fang J P 2007 Acta Phys. Sin. 56 620 (in Chinese) [马松华、强继业、方建平 2007 物理学报 56 620]
[8] [8]Wang L S, Xu D Y 2003 Science in China E 32 488 (in Chinese) [王林山、徐道义 2003 中国科学 E 32 488]
[9] [9]Yang J R, Mao J J 2008 Chin. Phys. Lett. 25 1527
[10] ]Gao Y, Tang X Y 2007 Commum. Theor. Phys. 48 961
[11] ]Yang J R, Mao J J 2008 Chin. Phys. 17 4337
[12] ]Pan L X, Zuo W M, Yan J R 2005 Acta Phys. Sin. 54 1 (in Chinese) [潘留仙、左伟明、颜家壬 2005 物理学报 54 1]
[13] ]Lu D C, Hong B J, Tian L X 2006 Acta Phys. Sin. 55 5617 (in Chinese) [卢殿臣、烘宝剑、田立新 2006 物理学报 55 5617]
[14] ]Tapgetusang, Sirendaoerji 2009 Acta Phys. Sin. 58 2121 (in Chinese) [套格图桑、斯仁道尔吉 2009 物理学报 58 2121]
[15] ]Parkes E J, DuffyB R 1996 Comput. Phys. Commun. 98 288
[16] ]Wang ML 1995 Phys. Lett. A 199 169
[17] ]Sirendaoreji , SunJ 2003 Phys. Lett. A 309 387
[18] ]Liu S K, Fu Z T, Liu S D, Zhao Q 2002 Acta Phys. Sin. 51 10(in Chinese) [刘式适、付遵涛、刘式达、赵强 2002 物理学报51 10]
[19] ]Fan E G 2000 Phys. Lett. A 277 212
[20] ]Elwakil S A, El-labany S K, Zaharan M A 2002 Phys. Lett. A 299 179
[21] ]Mo J Q, Lin W T,Zhu J 2004 Prog. Nat. Sci. 14 1126
[22] ]Mo J Q, Lin W T 2005 Chin. Phys. 14 875
[23] ]Mo J Q, Lin W T, Wang H 2006 Chin. Phys. 15 578
[24] ]Mo J Q, Wang H, Lin W T, Lin Y H 2006 Chin. Phys. 15 671
[25] ]Mo J Q, Lin W T, Wang H 2007 Chin. Phys. 16 578
[26] ]Mo J Q, Lin W T, Wang H 2007 Chin. Phys. 16 951
[27] ]Mo J Q, Lin W T 2008 Chin. Phys. B 17 370
[28] ]Mo J Q, Lin W T 2008 Chin. Phys. B 17 743
[29] ]Mo J Q, Wang H, Lin W T, Lin Y H 2006 Acta Phys. Sin. 55 6(in Chinese) [莫嘉琪王辉、林万涛、林一骅 2006物理学报 55 6]
[30] ]Mo J Q, Zhang W J, He M 2007 Acta Phys. Sin. 56 1843 (in Chinese) [莫嘉琪、张伟江、何铭 2007 物理学报 56 1843]
[31] ]Mo J Q, Chen L H 2008 Acta Phys. Sin. 57 4646 (in Chinese) [莫嘉琪、陈丽华2008 物理学报 57 4646]
[32] ]Mo J Q 2009 Acta Phys. Sin. 58 2930 (in Chinese) [莫嘉琪2009 物理学报 58 2930]
[33] ]Mo J Q, Chen Y 2009 Acta Phys. Sin. 58 4379(in Chinese) [莫嘉琪、程燕2009物理学报58 4379]
[34] ]Mo J Q 2009 Acta Phys. Sin. 58 695 (in Chinese) [莫嘉琪 2009 物理学报 58 695]
[35] ]Liao S J 2004 Beyond Perturbation: Introduction to the Homotopy Analysis Method (New York: CRC Press Co)
[36] ]He J H 2002 Approximate Analytical Methods in Engineering and Sciences (Zhengzhou: Henan Science and Technology Press) (in Chinese) [何吉欢 2002 工程和科学计算中的近似非线性分析方法 (郑州 河南科学技术出版社)]
[37] ]Wahl quist H D,Estabrook FB 1975 J. Math. Phys. 16 1
[38] ]Zhang G X, Li Z B,Duan Y S 2000 Science in China A 12 1103
计量
- 文章访问数: 8382
- PDF下载量: 743
- 被引次数: 0