在辅助方程法的基础上,给出辅助方程和函数变换相结合的一种方法,并借助符号计算系统Math-ematica,获得了变系数组合KdV方程的新的孤立波解和三角函数解.这种方法在寻找其它变系数非线性发展方程的新的孤立波解和三角函数解方面具有普遍意义.
参考文献
| [1] | Parkes E J,Duify B R.An automated tanh-function method for finding solitary wave solutions to nonlinear evolution equations[J].Comput.Phys.Commun.,1996,98:288-300. |
| [2] | Wang Mingliang.Solitary wave solutions for variant Boussinesq equations[J].Phys.Lett.A,1995,199:169-172. |
| [3] | Parkes E J,Duffy B R,Abbott P C.The Jacobi elliptic-function method for fingding periodic-wave solutions to nonlinear evolution equations[J].Phys.Lett.A,2001,295:280-286. |
| [4] | Fu Zuntan,Liu Shikuo,Liu Shida.A new method to construct solutions to nonlinear wave equations[J].Acta Physica Sinica(物理学报),2004,53(2):343-348(in Chinese). |
| [5] | Liu Shikuo,Fu Zuntao,Liu Shidao,et al.Expansion method about the Jacobi elliptic function and its applications to nonlinear wave equations[J].Acta Physica Siniea(物理学报),2001,50(11):2068-2073(in Chinese). |
| [6] | Sirendaoreji,Sun Jiong.Auxiliary equation method for solving nonlinear partial differential equations[J].Phys.Lett.A,2003,309:387-396. |
| [7] | Tian Guichen,et al.Exact solutions of the general variable coefficient KdV equation with external term[J].Chinese Journal of Quantum Electronics(量子电子学报),2005,22(3):339-343(in Chinese). |
| [8] | Yan Zhenya,Zhang Hongqing.Exact soliton solutions of the variable coeficient KdV-MKdV equation with three arbitrary funtions[J].Acta Physica Sinica(物理学报),1999,48(11):1957-1961(in Chinese). |
| [9] | Liu Shikuo,Fu Zuntao,Liu Shida,et al.Jacobi elliptic function expansion solution to the variable coefficent nonlinear equations[J].Aeta Physica Sinica(物理学报),2002,51(9):1923-1926(in Chinese). |
| [10] | Liu Chengshi.Using trial equation method to solve the exant solutions for two kinds of KdV equations with variable coefficents[J].Acta Physica Sinica(物理学报),2005,54(10):4506-1510(in Chinese). |
| [11] | Lu Dianchen,Hong Baojian,Tain Lixin.Explicit and exact solutions to the variable coefficient combined KdV equation with forced term[J].Acta Physica Sinica(物理学报),2006,55(11):5617-5622(in Chinese). |
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