| The new tri-function method to multiple exact solutions of nonlinear wave equations | |
| Z. Yan | |
| 2008 | |
| Source Publication | Physica Scripta
 |
| ISSN | 0031-8949 |
| Volume | 78Issue:3 |
| Abstract | In this paper, based on a system of the first order differential equations with three nonlinear ordinary differential equations (ODEs), a new tri-function method is presented to investigate exact solutions of a wide class of nonlinear wave equations. The method is constructive and can be carried out in a computer with the aid of symbolic computation. In particular, we apply the tri-function method to the (3 + 1)-dimensional Kadomtsev-Petviashvili (KP) equation and the (2 + 1)-dimensional nonlinear Schrodinger (NLS) equation such that many types of new exact solutions are obtained, which contain doubly periodic solutions and solitary wave solutions. |
| description.department | [yan, zhenya] chinese acad sci, amss, inst syst sci, key lab math mech, beijing 100080, peoples r china. [yan, zhenya] chinese acad sci, int ctr mat phys, shenyang 110016, peoples r china.;yan, z (reprint author), chinese acad sci, amss, inst syst sci, key lab math mech, beijing 100080, peoples r china;zyyan@mmrc.iss.ac.cn |
| Keyword | Doubly-periodic-solutions Differential-equations Symbolic Computation Expansion Algorithm Evolution-equations Construct |
| URL | 查看原文 |
| WOS ID | WOS:000259699800001 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.imr.ac.cn/handle/321006/33263 |
| Collection | 中国科学院金属研究所 |
| Recommended Citation GB/T 7714 | Z. Yan. The new tri-function method to multiple exact solutions of nonlinear wave equations[J]. Physica Scripta,2008,78(3). |
| APA | Z. Yan.(2008).The new tri-function method to multiple exact solutions of nonlinear wave equations.Physica Scripta,78(3). |
| MLA | Z. Yan."The new tri-function method to multiple exact solutions of nonlinear wave equations".Physica Scripta 78.3(2008). |
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| File Name/Size | DocType | Version | Access | License | ||
| 617.pdf（151KB） | 开放获取 | -- | ||||
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