将行波变换推广为一般的函数变换,给出一种改进的试探方程法.应用该方法求解一类广义的非线性sine-Gordon方程,获得了多种形式的新显式解,包括三角函数型解,双曲函数型解.
参考文献
[1] | Wang Mingliang,Zhou Yubin,et al.Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics[J].Phys.Lett.A.1996,216:67-75. |
[2] | Bai Chenglin.Multiple soliton solutions of the high order Broer-Kaup equations[J].Communications in Theoretical Physics,2000,34(4):729-732. |
[3] | Yan Zhilian,Liu Xiqiang.Solitary wave and non-traveling wave solutions to two nonlinear evolution equtions[J].Communications in Theoretical Physics,2005,44(3):479-482. |
[4] | Fan Engui.Extended tanh-function method and its applications to nonlinear equations[J].Phys.Lett.A,2000,277:212-218. |
[5] | Liu Xiqiang,Jiang Song.The secq-tanhq method and its applications[J].Phys.Lett.A,2002,298(4):253-258. |
[6] | Liu Shikuo,Fu Zuntao,et al.Expansion method about the Jacobi elliptic function and its applications to nonlinear wave equations[J].Acta Physica Sinica (物理学报),2001,50(11):2068-2073 (in Chinese). |
[7] | Tian Guichen,Liu Xiqiang.Exact solutions of the general variable coefficient KdV equation with external force term[J].Chinese Journal of Quantum Electronics (量子电子学报),2005,22(3):339-343 (in Chinese). |
[8] | Liu Chengshi.Trial equation method and its applications to nonlinear evolution equations[J].Acta Physica Sinica (物理学报),2005,54(6):2505-2509 (in Chinese). |
[9] | Wazwaz A M.The tanh method and a variable separazed ODE method for solving Double Sine-Gordon Equation[J].Phys.Lett.A,2006,350(5):367-370. |
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%