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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.
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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 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 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 55 5617］
[14] ］Tapgetusang， Sirendaoerji 2009 Acta Phys. Sin. 58 2121 (in Chinese) ［套格图桑、斯仁道尔吉 2009 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 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 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 56 1843］
[31] ］Mo J Q， Chen L H 2008 Acta Phys. Sin. 57 4646 (in Chinese) ［莫嘉琪、陈丽华2008 57 4646］
[32] ］Mo J Q 2009 Acta Phys. Sin. 58 2930 (in Chinese) ［莫嘉琪2009 58 2930］
[33] ］Mo J Q, Chen Y 2009 Acta Phys. Sin. 58 4379(in Chinese) ［莫嘉琪、程燕2009 58 4379］
[34] ］Mo J Q 2009 Acta Phys. Sin. 58 695 (in Chinese) ［莫嘉琪 2009 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
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[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 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 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 55 5617］
[14] ］Tapgetusang， Sirendaoerji 2009 Acta Phys. Sin. 58 2121 (in Chinese) ［套格图桑、斯仁道尔吉 2009 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 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 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 56 1843］
[31] ］Mo J Q， Chen L H 2008 Acta Phys. Sin. 57 4646 (in Chinese) ［莫嘉琪、陈丽华2008 57 4646］
[32] ］Mo J Q 2009 Acta Phys. Sin. 58 2930 (in Chinese) ［莫嘉琪2009 58 2930］
[33] ］Mo J Q, Chen Y 2009 Acta Phys. Sin. 58 4379(in Chinese) ［莫嘉琪、程燕2009 58 4379］
[34] ］Mo J Q 2009 Acta Phys. Sin. 58 695 (in Chinese) ［莫嘉琪 2009 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
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