利用李群分析方法,得到了(2+1)维Boiti-Leon-Manna-Pempinelli(BLMP)方程的对称、相似约化和新的精确解,包括有理函数解、双曲函数解、雅克比椭圆函数解和三角周期解.同时找到了此方程的无穷多守恒律.
参考文献
| [1] | Zheng Bin.New soliton solutions to (2+1)-dimensional breaking soliton equation[J].Chinese Journal of Quantum Electromics (量子电子学报),2006,23:451-455 (in Chinese). |
| [2] | Liu Xiqiang.New explicit solutions of the (2+1)-dimensional Broer-Kaup equations[J].J.Partial Diff.Eqs,2004,17:1-9. |
| [3] | Tian Guichen,Liu Xiqiang.Exact solutions of the general variable coefficient KdV equation with external force term[J].Chinese Journal of Quantum Electromics (量子电子学报),2005,22:339-343 (in Chinese). |
| [4] | Fan Engui,Zhang Jian.Applications of the Jacobi elliptic function method to special-type nonlinear eqations[J].Phys.Lett.A,2002,305:383-392. |
| [5] | Dong Zhongzhou,Yu Xichang,et al.Exact travelling wave solutions of the nonlinear coupled KdV equations[J].Chinese Journal of Quantum Electromics (量子电子学报),2006,23:31-34 (in Chinese). |
| [6] | Boiti M,Leon J J P,Manna M,et al.On the spectral transform of a Korteweg-de Vries equation in two spatial dimensions[J].Inverse Problems,1986,2:271-279. |
| [7] | Tang Xiaoyan.What will happen when a dromion meets with a ghoston[J].Phys.Lett.A,2003,314:286-291. |
| [8] | Ma Hongcai,et al.Finite symmetry transformation groups and exact solutions of Lax integrable systems[J].Chinese Commun.Theor.Phys.,2005,44:193-196. |
| [9] | Sun Jiong.Soliton-like solutions for the BLMP equation[J].Chinese Journal of Inner Mongolia Normal University (内蒙古师大学报),2001,30:1-5 (in Chinese). |
| [10] | Tian Chou.Applications of Lie Group Method to Partial Differential Equation (李群及其在微分方程中的应用)[M].Beijing:Science and Technology Press,2001.248-268 (in Chinese). |
| [11] | Cheng Hnaitang,Zhang Hongqing.New multiple solution-like to (3+1)-dimensional Burgers equation with variable coefficients[J].Theor.Phys,2004,42:497-500. |
| [12] | Liu Shishi,Liu Shida.Nonlinear Equations of Physics (物理学中的非线性方程)[M].Beijing:Beijing University Press,2000.48-51 (in Chinese). |
| [13] | He Jihuan.Exp-function method for nonlinear wave equaton[J].Chaos,.Solitions & Fractals,2006,30:700-708. |
| [14] | Kara A H,Khalique C M.Conservation laws and associated symmetries for some classes of soil water motion equations[J].Int J.Non-linear Mech,2000,39:1041-1045. |
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%