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The approximate solution for a class of disturbed mKdV coupled system is considered taking a simple and valid technique. We first solve approximate solution of the 2-soliton for a corresponding complex-valued differential equation using the variational iteration method. And then the approximate solution of the 2-soliton for a original disturbed mKdV coupled system is obtained.
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Keywords:
- soliton /
- disturbed mKdV equation /
- variational iteration
[1] McPhaden M J, Zhang D 2002 Nature 415 603
[2] Gu D F, Philander S G H 1997 Science 275 805
[3] Loutsenko I 2006 Comm. Math. Phys. 268 465
[4] Gedalin M 1998 Phys. Plasmas 5 127
[5] 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]
[6] Ma S H, Qiang J Y, Fang J P 2007 Comm. Theor. Phys. 48 662
[7] Parkes E J 2008 Chaos Solitons Fractals 38 154
[8] Li X Z, Wang, M L 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, Yan J R 2005 Acta Phys. Sin. 54 1 (in Chinese) [潘留仙、左伟明、颜家壬 2005 54 1]
[12] He J H, 2006 International J. Modern Phys. 20B 1141
[13] He J H 2002 Approximate Analytical Methods in Engineering and Sciences (Shengzhou: 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)]
[14] Graef J R, Kong L 2008 Math. Proc.Camb. Philos. Soc. 145 489
[15] Hovhannisyan G, Vulanovic R 2008 Nonlinear Stud. 15 297
[16] Barbu L, Cosma E 2009 J. Math. Anal. Appl. 351 392
[17] Ramos M, 2009 J. Math. Anal. Appl. 352 246
[18] Mo J Q 1989 Science in China, A 32 1306
[19] Mo J Q, Lin W T 2008 J, Sys. Sci. and Complexity 20 119
[20] Mo J Q, Wang H 2007 Acta Ecologica Sinica 27 4366
[21] Mo J Q, Zhu J, Wang H 2003 Prog. Nat. Sci. 13 768
[22] 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]
[23] Mo J Q 2009 Chin. Phys. Lett. 26 010204-1
[24] Mo J Q 2009 Chin. Phys. Lett. 26 060202-1
[25] Mo J Q 2009 Acta Phys. Sin. 58 695 (in Chinese) [莫嘉琪 2009 58 695]
[26] Mo J Q, Cheng Yan 2009 Acta Phys. Sin. 58 4379 (in Chinese) [莫嘉琪 2009 58 4379]
[27] Mo J Q 2009 Acta Phys. Sin. 58 2930 (in Chinese) [莫嘉琪 2009 58 2930]
[28] Mo J Q 2009 Science in China, G 52 1007
[29] Mo J Q, Lin W T, Wang H, 2008 Chin. Geographical Sci. 18 193
[30] Mo J Q, Lin W T, Wang H 2007 Prog. Nat. Sci. 17 230
[31] Mo J Q, Lin W T, Lin Y H 2007 Acta Phys. Sin. 56 3127 (in Chinese) [莫嘉琪、林万涛、林一骅 2007 56 1843]
[32] Mo J Q, Wang H, Lin W T, Lin Y H 2006 Chin. Phys. 15 671
[33] Mo J Q, Lin W T, Wang H 2007 Chin. Phys. 16 951
[34] Mo J Q, Lin W T 2008 Chin. Phys. B 17 370
[35] Mo J Q, Lin W T, Wang H 2007 Chin. Phys. 16 951
[36] Yang J R, Mao J J 2008 Chin. Phys. Lett. 25 1527
[37] Gao Y, Tang X Y 2007 Commum. Theor. Phys. 48 961
[38] Yang J R, Mao J J 2008 Chin. Phys. B 17 4337
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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] Loutsenko I 2006 Comm. Math. Phys. 268 465
[4] Gedalin M 1998 Phys. Plasmas 5 127
[5] 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]
[6] Ma S H, Qiang J Y, Fang J P 2007 Comm. Theor. Phys. 48 662
[7] Parkes E J 2008 Chaos Solitons Fractals 38 154
[8] Li X Z, Wang, M L 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, Yan J R 2005 Acta Phys. Sin. 54 1 (in Chinese) [潘留仙、左伟明、颜家壬 2005 54 1]
[12] He J H, 2006 International J. Modern Phys. 20B 1141
[13] He J H 2002 Approximate Analytical Methods in Engineering and Sciences (Shengzhou: 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)]
[14] Graef J R, Kong L 2008 Math. Proc.Camb. Philos. Soc. 145 489
[15] Hovhannisyan G, Vulanovic R 2008 Nonlinear Stud. 15 297
[16] Barbu L, Cosma E 2009 J. Math. Anal. Appl. 351 392
[17] Ramos M, 2009 J. Math. Anal. Appl. 352 246
[18] Mo J Q 1989 Science in China, A 32 1306
[19] Mo J Q, Lin W T 2008 J, Sys. Sci. and Complexity 20 119
[20] Mo J Q, Wang H 2007 Acta Ecologica Sinica 27 4366
[21] Mo J Q, Zhu J, Wang H 2003 Prog. Nat. Sci. 13 768
[22] 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]
[23] Mo J Q 2009 Chin. Phys. Lett. 26 010204-1
[24] Mo J Q 2009 Chin. Phys. Lett. 26 060202-1
[25] Mo J Q 2009 Acta Phys. Sin. 58 695 (in Chinese) [莫嘉琪 2009 58 695]
[26] Mo J Q, Cheng Yan 2009 Acta Phys. Sin. 58 4379 (in Chinese) [莫嘉琪 2009 58 4379]
[27] Mo J Q 2009 Acta Phys. Sin. 58 2930 (in Chinese) [莫嘉琪 2009 58 2930]
[28] Mo J Q 2009 Science in China, G 52 1007
[29] Mo J Q, Lin W T, Wang H, 2008 Chin. Geographical Sci. 18 193
[30] Mo J Q, Lin W T, Wang H 2007 Prog. Nat. Sci. 17 230
[31] Mo J Q, Lin W T, Lin Y H 2007 Acta Phys. Sin. 56 3127 (in Chinese) [莫嘉琪、林万涛、林一骅 2007 56 1843]
[32] Mo J Q, Wang H, Lin W T, Lin Y H 2006 Chin. Phys. 15 671
[33] Mo J Q, Lin W T, Wang H 2007 Chin. Phys. 16 951
[34] Mo J Q, Lin W T 2008 Chin. Phys. B 17 370
[35] Mo J Q, Lin W T, Wang H 2007 Chin. Phys. 16 951
[36] Yang J R, Mao J J 2008 Chin. Phys. Lett. 25 1527
[37] Gao Y, Tang X Y 2007 Commum. Theor. Phys. 48 961
[38] Yang J R, Mao J J 2008 Chin. Phys. B 17 4337
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