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利用相容方法,得到了(2+1)维非线性发展方程的对称,并根据相应的特征方程组得到了(2+1)维非线性发展方程的相似约化,同时得到了一些新的显式解.

参考文献

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[3] Fan Engui,et al.Applications of the Jacobi elliptic function method to special-type nonlinear equations[J].Phys.Lett.A,2002,305:383-392.
[4] Dong Zhongzhou,Yu Xichang,et al.Exact traveling wave solutions of the nonlinear coupled KdV equations[J].Chinese Journal of Quantum Electronics(量子电子学报),2006,23:31-34(in Chinese).
[5] Olver P J.Applications of Lie Groups to Differential Equations[M].Berlin:Springer-Verlag,1986.
[6] Wazwaz Abdui-Majid.Multiple kink solutions and multiple singular kink solutions for(2 + 1)-dimensional nonlinear models generated by the Jaulent-Miodek hierarchy[J].Phys.Lett.A,2009,373:1844-1846.
[7] Chen Huaitang,Zhang Hongqing.New multiple soliton solutions to the general Burgers-Fisher equation and the Kuramoto-Sivashinsky equation[J].Chaos,Solutions & Fractals,2004,19:71-76.
[8] Abdou M A,Elhanbaly A.Construction of periodic and solitary wave solutions by the extended Jacobi elliptic function expansion method[J].Applied Mathematics and Computation,2007,12:1229-1241.
[9] Liu Na,Liu Xiqiang.Symmetries,new exact solutions and conservation laws of(2 + 1)-dimensional Boiti-LeonManna-Pempineili equation[J].Chinese Journal of Quantum Electronics(量子电子学报),2008,25(5):546-552(in Chinese).
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