| 应用拓展双曲函数方法求KP方程的新精确解 |
| |
| 引用本文： | 张睿,张玉春,王彬弟. 应用拓展双曲函数方法求KP方程的新精确解[J]. 纯粹数学与应用数学, 2010, 26(4): 651-655. DOI: 10.3969/j.issn.1008-5513.2010.04.021 |
| |
| 作者姓名： | 张睿 张玉春 王彬弟 |
| |
| 作者单位： | 西北大学数学系,陕西,西安,710127;西北大学数学系,陕西,西安,710127;西北大学数学系,陕西,西安,710127 |
| |
| 摘 要： | 本文引入行波解,并应用拓展双曲函数方法,求得（2＋1）维Kadomtsev-Petviashvili（KP）方程的精确解.通过应用拓展双曲函数方法,可以得到关于方程的一类有理函数形式的孤立波,行波以及三角函数周期波的精确解,并且此方法适用于求解一大类非线性偏微分进化方程.
|
| 关 键 词： | 双曲函数方法 Kadomtsev-Petviashvili方程 行渡解 |
The extended hyperbolic functions method and new exact solutions to the KP equation |
| |
| ZHANG Rui,ZHANG Yu-chun,WANG Bin-di. The extended hyperbolic functions method and new exact solutions to the KP equation[J]. Pure and Applied Mathematics, 2010, 26(4): 651-655. DOI: 10.3969/j.issn.1008-5513.2010.04.021 |
| |
| Authors: | ZHANG Rui ZHANG Yu-chun WANG Bin-di |
| |
| Affiliation: | ZHANG Rui,ZHANG Yu-chun,WANG Bin-di(Department of Mathematics,Northwest University,Xi'an 710127,China) |
| |
| Abstract: | In this work,the extended hyperbolic functions method is applied to the analysis of KadomtsevPetviashvili equation.We can gain new explicit exact traveling wave solutions.The methods involved here can also be conducive to solving a large class of nonlinear evolution equations. |
| |
| Keywords: | hyperbolic functions method Kadomtsev-Petviashvili equation traveling wave solution |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
