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The approximate solution for a class of disturbed mKdV coupled system is considered using a simple and valid technique. We first solve the approximate solution of the soliton for a corresponding complex-valued differential equation using the homotopic mapping method. And then the approximate solution of the soliton for a original disturbed mKdV coupled system is obtained.
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Keywords:
- soliton /
- disturbed mKdV equation /
- homotopic mapping
[1] McPhaden M J, Zhang D 2002 Nature 415 603
[2] Gu D F, Philander S G H 1997 Science 275 805
[3] 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]
[4] Ma S H, Qiang J Y, Fang, J P 2007 Comm. Theor. Phys., 48 662
[5] Loutsenko I 2006 Comm. Math. Phys. 268 465
[6] Gedalin, M 1998 Phys. Plasmas 5 127
[7] Parkes E J 2008 Chaos Solitons Fractals 38 154
[8] Li X Z, Wang M L 2007 Phys. Lett. A 361 115
[9] Wang M L 1995 Phys. Lett. A 199 169
[10] Sirendaoreji J S 2003 Phys. Lett. A 309 387
[11] Pan L X, Zuo W M 2005 Acta Phys.Sin. 54 1 (in Chinese) [潘留仙、左伟明、颜家壬 2005 物理学报 54 1]
[12] Liao S J 2004 Beyond Perturbation: Introduction to the Homotopy Analysis Method (New York: CRC Press Co.)
[13] He J H, Wu X H 2006 Chaos Solitions & Fractals 29 108
[14] Ni W M, Wei J C 2006 J. Differ. Equations 221 158
[15] Bartier J P 2006 Asymptotic Anal. 46 325
[16] Libre J, da Silva P R, Teixeira M A 2007 J. Dyn. Differ. Equations 19 309
[17] Guarguaglini F R, Natalini R 2007 Commun. Partial Differ. Equations 32 163
[18] Mo J Q 1989 Science in China A 32 1306
[19] Shi L F, Mo J Q 2010 Chin. Phys. B 19 050203
[20] Mo J Q, Lin W T 2008 J. Sys. Sci. & Complexity 20 119
[21] Mo J Q, Wang H 2007 Acta Ecologica Sinica 27 4366
[22] Mo J Q Zhu J, Wang H 2003 Prog. Nat. Sci. 13 768
[23] Mo J Q 2009 Science in China G 39 568
[24] Mo J Q 2009 Chin. Phys. Lett. 26 010204
[25] Mo J Q 2009 Chin. Phys. Lett. 26 060202
[26] Mo J Q, Zhang W J, He M 2006 Acta Phys. Sin. 55 3233 (in Chinese) [莫嘉琪、张伟江、何 铭 2006 物理学报 55 3233]
[27] Mo J Q, Lin Y Hua, Lin W Tao 2009 Acta Phys. Sin. 58 6692 (in Chinese) [莫嘉琪、 林一骅、林万涛 2009 物理学报 58 6692]
[28] Mo J Q, Lin W T, Wang H 2008 Chin. Geographical Sci. 18 193
[29] Mo J Q, Lin W T, Lin Y H 2009 Chin. Phys. B 18 3624
[30] Mo J Q, Lin W T 2008 Chin. Phys. B 17 370
[31] Mo J Q, Lin W T, Lin Y H 2009 Chin. Phys. B 18 3624
[32] Mo J Q, Lin Y H, Lin W T 2010 Chin. Phys. B 19 030202
[33] Yang J R, Mao J J 2008 Chin. Phys. B 17 4337
[34] de Jager E M, Jiang F R 1996 The Theory of Singular Perturbation (Amsterdam: North-Holland Publishing Co)
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[1] McPhaden M J, Zhang D 2002 Nature 415 603
[2] Gu D F, Philander S G H 1997 Science 275 805
[3] 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]
[4] Ma S H, Qiang J Y, Fang, J P 2007 Comm. Theor. Phys., 48 662
[5] Loutsenko I 2006 Comm. Math. Phys. 268 465
[6] Gedalin, M 1998 Phys. Plasmas 5 127
[7] Parkes E J 2008 Chaos Solitons Fractals 38 154
[8] Li X Z, Wang M L 2007 Phys. Lett. A 361 115
[9] Wang M L 1995 Phys. Lett. A 199 169
[10] Sirendaoreji J S 2003 Phys. Lett. A 309 387
[11] Pan L X, Zuo W M 2005 Acta Phys.Sin. 54 1 (in Chinese) [潘留仙、左伟明、颜家壬 2005 物理学报 54 1]
[12] Liao S J 2004 Beyond Perturbation: Introduction to the Homotopy Analysis Method (New York: CRC Press Co.)
[13] He J H, Wu X H 2006 Chaos Solitions & Fractals 29 108
[14] Ni W M, Wei J C 2006 J. Differ. Equations 221 158
[15] Bartier J P 2006 Asymptotic Anal. 46 325
[16] Libre J, da Silva P R, Teixeira M A 2007 J. Dyn. Differ. Equations 19 309
[17] Guarguaglini F R, Natalini R 2007 Commun. Partial Differ. Equations 32 163
[18] Mo J Q 1989 Science in China A 32 1306
[19] Shi L F, Mo J Q 2010 Chin. Phys. B 19 050203
[20] Mo J Q, Lin W T 2008 J. Sys. Sci. & Complexity 20 119
[21] Mo J Q, Wang H 2007 Acta Ecologica Sinica 27 4366
[22] Mo J Q Zhu J, Wang H 2003 Prog. Nat. Sci. 13 768
[23] Mo J Q 2009 Science in China G 39 568
[24] Mo J Q 2009 Chin. Phys. Lett. 26 010204
[25] Mo J Q 2009 Chin. Phys. Lett. 26 060202
[26] Mo J Q, Zhang W J, He M 2006 Acta Phys. Sin. 55 3233 (in Chinese) [莫嘉琪、张伟江、何 铭 2006 物理学报 55 3233]
[27] Mo J Q, Lin Y Hua, Lin W Tao 2009 Acta Phys. Sin. 58 6692 (in Chinese) [莫嘉琪、 林一骅、林万涛 2009 物理学报 58 6692]
[28] Mo J Q, Lin W T, Wang H 2008 Chin. Geographical Sci. 18 193
[29] Mo J Q, Lin W T, Lin Y H 2009 Chin. Phys. B 18 3624
[30] Mo J Q, Lin W T 2008 Chin. Phys. B 17 370
[31] Mo J Q, Lin W T, Lin Y H 2009 Chin. Phys. B 18 3624
[32] Mo J Q, Lin Y H, Lin W T 2010 Chin. Phys. B 19 030202
[33] Yang J R, Mao J J 2008 Chin. Phys. B 17 4337
[34] de Jager E M, Jiang F R 1996 The Theory of Singular Perturbation (Amsterdam: North-Holland Publishing Co)
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