广义Boussinesq方程的不变集与精确解 |
| |
引用本文: | 张亚敏.广义Boussinesq方程的不变集与精确解[J].安徽大学学报(自然科学版),2015(5):13-18. |
| |
作者姓名: | 张亚敏 |
| |
作者单位: | 宝鸡文理学院数学系,陕西宝鸡,721013 |
| |
基金项目: | 国家自然科学基金资助项目,陕西省教育厅科研计划项目 |
| |
摘 要: | 不变集方法是一种构造非线性偏微分方程精确解的有效方法.文章利用不变集思想方法,讨论了一类非线性偏微分方程utt=A(u)uxxxx+B(u)uxx+C(u)(uux)x+D(u)u2d的问题,得到了一些情况下对应方程的精确解,从而丰富了这类方程解的研究.
|
关 键 词: | 不变集 精确解 伸缩不变集 旋转不变集 |
Invariant set and exact solutions to the generalized Boussinesq equation |
| |
Abstract: | Invariant set was very effective to construct the exact solutions of the nonlinear PDEs . Using the invariant set of thinking , the generalized Boussinesq equation ut =A(u)uxxxx + B(u)uxx + C(u)(uux )x + D(u)u2 was discussed ,and the exact solutions to some special equations were obtained in some case .Thus the study on solution to these equations w as enriched . |
| |
Keywords: | invariant set exact solution scaling invariant set rotation invariant set |
本文献已被 CNKI 万方数据 等数据库收录! |
|