CK方法是求解非线性发展方程的一种有效的直接方法.利用推广的CK方法,求得(2+1)维Broer-Kaup-Kupershmidt方程的Backlund公式,从而获得方程的大量新的精确解,推广了Xu和Zhang的结果.
参考文献
[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] | 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] | Wang M L.Solitary wave solution for variant Boussinesq equations[J].Phys.Lett.A,1995,199:169-172. |
[4] | Taogetusang,Sirendaoerji.Jacobi-like elliptic function exact solutions of (3+1)-dimensional Zakharov-Kuznetsov equation[J].Chinese Journal of Quantum Electronics(量子电子学报),2010,27(1):6-14(in Chinese). |
[5] | Taogetusang,Sirendaoerji.Jacobi elliptic function exact solutions of sine-Gordon equation[J].Chinese Journal of Quantum Electronics(量子电子学报),2009,26(3):278-287 (in Chinese). |
[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] | 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] | 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. |
[9] | Xu Bin,et al.Symmetries,reductions,group invariant solutions of (2+1)-dimensional Gardner equation[J].Chinese Journal of Quantum Electronics(量子电子学报),2009,26(5):531-536 (in Chinese). |
[10] | Clarkson P A,Kruskal M N.New similarity reductions of the Boussinesq equation[J].J.Math.Phys.,1989,38:2201-2213. |
[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] | 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] | Xu Guiqiong,Li Zhibin. Exact travelling wave solutions of the Whitham-Broer-Kaup and Broer-KaupKupershmidt equations[J].Chaos,Solitons and Fractals,2005,24:549-556. |
[14] | Zhang Sheng. Application of Exp-function method to Riccati equation and new exact.solutions with three arbitrary fnnctions of Broer-Kaup-Kupershmidt equations[J].Phys.Lett.A,2008,372:1873-1880. |
[15] | Wang Qi,Chen Yong.A multiple Riccati equations rational expansion method and novel solutions of the BroerKaup-Kupershmidt system[J].Chaos,Solitons and Fractals,2006,30:197-203. |
[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] | 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] | El-Wakil S A,Abdou M A.New exact travelling wave solutions of two nonlinear physical models[J].Nonlinear Analysis,2008,68:235-245. |
上一张
下一张
上一张
下一张
计量
- 下载量()
- 访问量()
文章评分
- 您的评分:
-
10%
-
20%
-
30%
-
40%
-
50%