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Collection Of theses on high power laser and plasma physics, Volume. 13, Issue 1, 147(2015)

Consistent Riccati expansion and exact solutions of the Kuramoto–Sivashinsky equation

Mingxing Chen1, Hengchun Hu1,2, and Haidong Zhu3、*
Author Affiliations
  • 1College of Science, University of Shanghai for Science and Technology, Shanghai 200093, PR China
  • 2Department of Mathematics, The University of Texas-Pan American, Edinburg, TX 78541, United States
  • 3National Laboratory of High Power Laser and Physics, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai, 201800, PR China
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    [1] [1] Yu.S. Kivshar, B.A. Malomed, Rev. Modern Phys. 61 (1989) 763–915.

    [2] [2] Yu.S. Kivshar, B. Luther-Davies, Phys. Rep. 298 (1998) 81–197.

    [3] [3] S.Y. Lou, Stud. Appl. Math. 134 (2015) 372–402.

    [4] [4] C.L. Chen, S.Y. Lou, Commun. Theor. Phys. 61 (2014) 545–550.

    [5] [5] C.L. Chen, S.Y. Lou, Chin. Phys. Lett. 30 (2013) 110202.

    [6] [6] S.Y. Lou, X.P. Cheng, X.Y. Tang, Chin. Phys. Lett. 31 (2014) 070201.

    [7] [7] Y.H. Wang, Appl. Math. Lett. 38 (2014) 100–105.

    [8] [8] J. Rademacher, R. Wittenburg, J. Comput. Nonlin. Dynam. 1 (2006) 336–347.

    [9] [9] P. Coullet, L. Gil, J. Lega, Phys. Rev. Lett. 62 (1989) 1619–1622.

    [10] [10] A.M. Wazwaz, Appl. Math. Comput. 182 (2006) 1642–1650.

    [11] [11] R. Conte, M. Musette, J. Phys. A: Math. Gen. 22 (1989) 169–177.

    [12] [12] A.P. Hooper, R. Grimshaw, Phys. Fluids 28 (1985) 37–45.

    [13] [13] G.I. Sivashinsky, Ann. Rev. Fluid Mech. 15 (1983) 179–199.

    [14] [14] A.H. Khater, R.S. Temsah, Comput. Math. Appl. 56 (2008) 1465–1472.

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    Mingxing Chen, Hengchun Hu, Haidong Zhu. Consistent Riccati expansion and exact solutions of the Kuramoto–Sivashinsky equation[J]. Collection Of theses on high power laser and plasma physics, 2015, 13(1): 147

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    Paper Information

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    Received: Apr. 8, 2015

    Accepted: --

    Published Online: May. 26, 2017

    The Author Email:

    DOI:10.1016/j.aml.2015.05.010

    Topics

    laser devices and laser physics
    Lasers and Laser Optics
    Laser physics
    laser manufacturing
    Instrumentation, Measurement and Metrology