利用假设孤立波方法,研究了广义变系数五阶KdV方程和BBM方程,得到了广义变系数五阶KdV方程和BBM方程的孤立子解.对于得到的孤立子解,为了保证解的存在性,给出了孤立子解存在的条件.
参考文献
| [1] | Wang G W,Liu X Q,Zhang Y Y.Lie symmetry analysis to the time fractional generalized fifth-order KdV equation[J].Commun.Nonlinear Sci.Numer.Simulat.,2012,11:032. |
| [2] | Olver P J.Application of Lie Group to Differential Equation[M].New York:Springer,1986. |
| [3] | Zhang Y Y,Wang G W,Liu X Q.Symmetry reduction,explicit solutions of (2+1)-dimensinal nonlinear evolution equation[J].Chinese Journal of Quantum Electronics(量子电子学报),2012,29(4):411-416 (in Chinese). |
| [4] | Wang G W,Liu X Q,Zhang Y Y.Symmetry reduction,exact solutions and conservation laws of a new fifth-order nonlinear integrable equation[J].Commun.Nonlinear Sci.Numer.Simulat.,2012,12:003. |
| [5] | Weiss J,Tabor M,Carnevale G.The Painleve property for partial differential equations[J].J.Math.Phys.,1983,24:522-526. |
| [6] | Biswas A,Triki H.1-Soliton solution of the D(m,n) equation with generalized evolution[J].Appl.Math.Comput.,2011,217:8482-8488. |
| [7] | Biswas A,Milovic D.Optical solitons in a parabolic law media with fourth order dispersion[J].Appl.Math.Comput.,2009,208:299-302. |
| [8] | Biswas A,Kara A H.1-Soliton solution and conservation laws for nonlinear wave equation in semiconductors[J].Appl.Math.Comp.,2010,217:4289-4292. |
| [9] | Biswas A,et al.1-Soliton solution and conservation laws of the generalized Dullin-Gottwald-Holm equation[J].Appl.Math.Comp.,2010,217:929-932. |
| [10] | Wazwaz A M.The extended tanh method for new soliton solutions for many forms of the fifth-order KdV equations[J].Appl.Math.Comp.,2007,184:1002-1014. |
| [11] | Wazwaz A M,Kara A H.Soliton solutions for a generalized KdV and BBM equations with-time-dependent coefficients[J].Commun.Nonlinear Sci.Numer.Simulat.,2011,16:1122-1126. |
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%