• Collection Of theses on high power laser and plasma physics
  • Vol. 13, Issue 1, 147 (2015)
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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    DOI: 10.1016/j.aml.2015.05.010 Cite this Article
    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 Copy Citation Text show less
    References

    [1] Yu.S. Kivshar, B.A. Malomed, Rev. Modern Phys. 61 (1989) 763–915.

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

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

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

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

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

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

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

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

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

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

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

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

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

    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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