Chinese Journal of Quantum Electronics, Volume. 29, Issue 2, 142(2012)
New exact solutions of Broer-Kaup-Kupershmidt equation
[1] [1] Parkes E J, Duffy B R. An automated tanh-function method for finding solitary wave solutions to nonlinear evolution equation [J]. Comp. Phys. Commun., 1996, 98: 288-300.
[2] [2] Wazwaz A M. Analytic study on nonlinear variant of the RLW and the PHI-four equations [J]. Commun. Nonlinear. Sci. Numer. Simul., 2007, 12: 314-327.
[3] [3] Wang M L. Solitary wave solution for variant Boussinesq equations [J]. Phys. Lett. A, 1995, 199: 169-172.
[6] [6] Wazwaz A M. Exact and explicit traveling wave solutions for the nonlinear Drinfeld-Sokolov system [J]. Communications in Nonlinear Science and Numerical Simulation, 2006, 11: 311-325.
[7] [7] Zhi Hongyan, Zhang Hongqing. Symmetry analysis and exact solutions of (2+1)-dimensional Sawada-Kotera equation [J]. Commun. Theor. Phys., 2008, 49: 263-267.
[8] [8] Dong Zhongzhou, Liu Xiqiang, Bai Chenglin. Symmetry reduction, exact solutions and conservation laws of (2+1)-dimensional Burgers Kortrweg-de Vries equation [J]. Commun. Theor. Phys., 2006, 46: 15-20.
[10] [10] Clarkson P A, Kruskal M N. New similarity reductions of the Boussinesq equation [J]. J. Math. Phys., 1989, 38: 2201-2213.
[11] [11] Lou S Y, Ma H C. Non-Lie symmetry groups of (2+1) dimensional nonlinear systems obtained from a simple direct method [J]. J. Phys. Math. Gen., 2005, 38: L129-L137.
[12] [12] Ma H C. A simple method to general Lie point symmetry groups of the (3+1) dimensional Jimbo-Miwa equation [J]. Chin. Phys. Lett., 2005, 22: 554-557.
[13] [13] Xu Guiqiong, Li Zhibin. Exact travelling wave solutions of the Whitham-Broer-Kaup and Broer-Kaup-Kupershmidt equations [J]. Chaos, Solitons and Fractals, 2005, 24: 549-556.
[14] [14] Zhang Sheng. Application of Exp-function method to Riccati equation and new exact solutions with three arbitrary functions of Broer-Kaup-Kupershmidt equations [J]. Phys. Lett. A, 2008, 372: 1873-1880.
[15] [15] Wang Qi, Chen Yong. A multiple Riccati equations rational expansion method and novel solutions of the Broer-Kaup-Kupershmidt system [J]. Chaos, Solitons and Fractals, 2006, 30: 197-203.
[16] [16] El-Wakil S A, Abdou M A, Hendi A. New periodic and soliton solutions of nonlinear evolution equations [J]. Applied Mathematics and Computation, 2008, 197: 497-506.
[17] [17] Wan Ying, Song Lina, Yin Li, et al. Generalized method and new exact wave solutions for (2+1)-dimensional Broer-Kaup-Kupershmidt system [J]. Applied Mathematics and Computation, 2007, 187: 644-657.
[18] [18] El-Wakil S A, Abdou M A. New exact travelling wave solutions of two nonlinear physical models [J]. Nonlinear Analysis, 2008, 68: 235-245.
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YANG Li-juan, YANG Qiong-fen, DU Xian-yun. New exact solutions of Broer-Kaup-Kupershmidt equation[J]. Chinese Journal of Quantum Electronics, 2012, 29(2): 142
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Received: Mar. 24, 2011
Accepted: --
Published Online: Mar. 30, 2012
The Author Email: Li-juan YANG (yanglj-ts@126.com)