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Travelling wave solution of the weakly nonlinear evolution equation with control term

Mo Jia-Qi Ge Hong-Xia Cheng Rong-Jun

Travelling wave solution of the weakly nonlinear evolution equation with control term

Mo Jia-Qi, Ge Hong-Xia, Cheng Rong-Jun
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  • A weakly nonlinear evolution equation with control term is considered using the analytic method. From the perturbation theory, the solution of the corresponding equation is obtained. And the functions of asymptotic solution for the equation are studied.
    • Funds:
    [1]

    McPhaden M J, Zhang D 2002 Nature 415 603

    [2]

    Gu D F, Philander S G H 1997 Science 275 805

    [3]

    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]

    [4]

    Wu Q K 2005 Acta Phys. Sin. 54 2510 (in Chinese) [吴钦宽 2005 物理学报 54 2510]

    [5]

    Pan L X, Zhuo W M 2005 Acta Phys. Sin. 54 1 (in Chinese) [潘留仙、左伟明 2005 物理学报 54 1]

    [6]

    Tang R R 2006 Acta Phys. Sin. 55 445 (in Chinese) [唐荣荣 2005 物理学报 55 445]

    [7]

    Pan L X, Liu J L, Li S S, Niu Z C, Feng S L, Zheng H Z 2002 Science in China A 32 556 (in Chinese) [潘留仙,、金 龙、李树深、牛智川、封松林、郑厚值 2002 中国科学 A 32 556]

    [8]

    Lin Y H, Ji Z Z, Zeng Q C 1999 Prog. Nat. Sci. 9 532

    [9]

    Lin W T, Ji Z Z, Wang B, Zhang X 2002 Prog. Nat. Sci. 12 1326 (in Chinese) [林万涛、季仲贞、王 斌、张 昕 2002 自然科学进展12 1326]

    [10]

    Lin Y H, Ceng Q C 1999 Prog. Nat. Sci. 9 211

    [11]

    Han X L 2005 Acta Phys. Sin. 54 2590 (in Chinese)[韩祥临2005物理学报 54 2590]

    [12]

    Wu J F, Ye W H, Zhang W Y, He X S 2003 Acta Phys. Sin. 52 1668 (in Chinese) [吴俊峰、叶文华、张维岩、贺贤士 2003 物理学报 52 1668]

    [13]

    Mo J Q 2009 Science in China G 52 1007

    [14]

    Mo J Q, Lin W T 2010 J. Sys. Sci. & Complexity 20 119

    [15]

    Mo J Q 2009 Chin. Phys. Lett. 26 010204

    [16]

    Mo J Q, Liu S D, Tang R R 2010 Acta Phys. Sin. 59 4403 (in Chineae) [莫嘉琪、刘树德、唐荣荣 2010 物理学报 59 4403]

    [17]

    Mo J Q, Yao J S 2010 Acta Phys. Sin. 59 5190 (in Chinese) [莫嘉琪、姚静荪 2010 物理学报 59 5190]

    [18]

    Mo J Q, Chen X F 2010 Acta Phys. Sin. 59 2910(in Chinese)[莫嘉琪、陈贤峰 2010 物理学报 50 2919]

    [19]

    Mo J Q 2009 Chin. Phys. Lett. 26 060202

    [20]

    Mo J Q 2010 Commun. Theor. Phys. 53 440

    [21]

    Mo J Q 2010 Chin. Phys. B 19 010203

    [22]

    Mo J Q, Lin Y H, Lin W T 2010 Chin. Phys. B 19 030202

  • [1]

    McPhaden M J, Zhang D 2002 Nature 415 603

    [2]

    Gu D F, Philander S G H 1997 Science 275 805

    [3]

    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]

    [4]

    Wu Q K 2005 Acta Phys. Sin. 54 2510 (in Chinese) [吴钦宽 2005 物理学报 54 2510]

    [5]

    Pan L X, Zhuo W M 2005 Acta Phys. Sin. 54 1 (in Chinese) [潘留仙、左伟明 2005 物理学报 54 1]

    [6]

    Tang R R 2006 Acta Phys. Sin. 55 445 (in Chinese) [唐荣荣 2005 物理学报 55 445]

    [7]

    Pan L X, Liu J L, Li S S, Niu Z C, Feng S L, Zheng H Z 2002 Science in China A 32 556 (in Chinese) [潘留仙,、金 龙、李树深、牛智川、封松林、郑厚值 2002 中国科学 A 32 556]

    [8]

    Lin Y H, Ji Z Z, Zeng Q C 1999 Prog. Nat. Sci. 9 532

    [9]

    Lin W T, Ji Z Z, Wang B, Zhang X 2002 Prog. Nat. Sci. 12 1326 (in Chinese) [林万涛、季仲贞、王 斌、张 昕 2002 自然科学进展12 1326]

    [10]

    Lin Y H, Ceng Q C 1999 Prog. Nat. Sci. 9 211

    [11]

    Han X L 2005 Acta Phys. Sin. 54 2590 (in Chinese)[韩祥临2005物理学报 54 2590]

    [12]

    Wu J F, Ye W H, Zhang W Y, He X S 2003 Acta Phys. Sin. 52 1668 (in Chinese) [吴俊峰、叶文华、张维岩、贺贤士 2003 物理学报 52 1668]

    [13]

    Mo J Q 2009 Science in China G 52 1007

    [14]

    Mo J Q, Lin W T 2010 J. Sys. Sci. & Complexity 20 119

    [15]

    Mo J Q 2009 Chin. Phys. Lett. 26 010204

    [16]

    Mo J Q, Liu S D, Tang R R 2010 Acta Phys. Sin. 59 4403 (in Chineae) [莫嘉琪、刘树德、唐荣荣 2010 物理学报 59 4403]

    [17]

    Mo J Q, Yao J S 2010 Acta Phys. Sin. 59 5190 (in Chinese) [莫嘉琪、姚静荪 2010 物理学报 59 5190]

    [18]

    Mo J Q, Chen X F 2010 Acta Phys. Sin. 59 2910(in Chinese)[莫嘉琪、陈贤峰 2010 物理学报 50 2919]

    [19]

    Mo J Q 2009 Chin. Phys. Lett. 26 060202

    [20]

    Mo J Q 2010 Commun. Theor. Phys. 53 440

    [21]

    Mo J Q 2010 Chin. Phys. B 19 010203

    [22]

    Mo J Q, Lin Y H, Lin W T 2010 Chin. Phys. B 19 030202

  • Citation:
Metrics
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  • PDF Downloads:  816
  • Cited By: 0
Publishing process
  • Received Date:  29 August 2010
  • Accepted Date:  14 September 2010
  • Published Online:  15 May 2011

Travelling wave solution of the weakly nonlinear evolution equation with control term

  • 1. (1)Department of Mathematics, Anhui Normal University, Wuhu 241003, China; (2)Faculty of Science, Ningbo University, Ningbo 315211, China; (3)Ningbo Institute of Technology, Zhejiang University, Ningbo 315100, China

Abstract: A weakly nonlinear evolution equation with control term is considered using the analytic method. From the perturbation theory, the solution of the corresponding equation is obtained. And the functions of asymptotic solution for the equation are studied.

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