一个广义扰动mKdV耦合系统2极孤子的近似解

莫嘉琪; 姚静荪

doi:10.7498/aps.59.5190

摘要

采用了一个简单而有效的技巧,研究了一类扰动mKdV耦合系统.首先利用变分迭代方法求解一个相应的复值函数微分方程2-极孤子的近似解.然后得到了原扰动mKdV耦合系统2-极孤子的近似解.

关键词:

孤子 /
扰动mKdV方程 /
变分迭代

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.

Keywords:

作者及机构信息

1.
安徽师范大学数学系,芜湖 241000; 上海高校计算科学E-研究院SJTU研究所,上海 200240

基金项目: 国家自然科学基金(批准号: 40676016,40876010),中国科学院知识创新工程重要方向性项目(批准号:KZCX2-YW-Q03-08),LASG国家重点实验室专项经费,上海市教育委员会E-研究院建设计划(批准号:E03004),浙江省自然科学基金(批准号:6090164)资助的课题.

Authors and contacts

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

参考文献

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[3]	Loutsenko I 2006 Comm. Math. Phys. 268 465
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[6]	Ma S H, Qiang J Y, Fang J P 2007 Comm. Theor. Phys. 48 662
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[9]	Wang M L 1995 Phys. Lett. A 199 169
[10]	Sirendaoreji J S 2003 Phys. Lett. A, 309 387
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[12]	He J H, 2006 International J. Modern Phys. 20B 1141
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[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
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[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 物理学报 58 695]
[26]	Mo J Q, Cheng Yan 2009 Acta Phys. Sin. 58 4379 (in Chinese) [莫嘉琪 2009 物理学报 58 4379]
[27]	Mo J Q 2009 Acta Phys. Sin. 58 2930 (in Chinese) [莫嘉琪 2009 物理学报 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物理学报 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

施引文献

[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 物理学报 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 物理学报 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 物理学报 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 物理学报 58 695]
[26]	Mo J Q, Cheng Yan 2009 Acta Phys. Sin. 58 4379 (in Chinese) [莫嘉琪 2009 物理学报 58 4379]
[27]	Mo J Q 2009 Acta Phys. Sin. 58 2930 (in Chinese) [莫嘉琪 2009 物理学报 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物理学报 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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一个广义扰动mKdV耦合系统2极孤子的近似解

Approximate solution of 2-soliton for generalized disturbed mKdV coupled system

摘要

Abstract

作者及机构信息

1.
安徽师范大学数学系,芜湖 241000; 上海高校计算科学E-研究院SJTU研究所,上海 200240

Authors and contacts

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

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一个广义扰动mKdV耦合系统2极孤子的近似解

Approximate solution of 2-soliton for generalized disturbed mKdV coupled system

摘要

Abstract

作者及机构信息

1. 安徽师范大学数学系,芜湖 241000; 上海高校计算科学E-研究院SJTU研究所,上海 200240

Authors and contacts

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

参考文献

施引文献

目录

计量

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作者中心

审稿中心

关于期刊

关于我们

1.
安徽师范大学数学系,芜湖 241000; 上海高校计算科学E-研究院SJTU研究所,上海 200240

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