A class of third-order nonlinear evolution equations admitting invariant subspaces and associated reductions |
| |
| Authors: | Yujian Ye Wen-Xiu Ma Danda Zhang |
| |
| Institution: | 1. School of Management, Hangzhou Dianzi University, Hangzhou 310018, P.R. China. manageyyj@163.com;2. Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620-5700, USA. mawx@cas.usf.edu;3. Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023, P.R. China. mathddz@163.com |
| |
| Abstract: | With the aid of symbolic computation by Maple, a class of third-order nonlinear evolution equations admitting invariant subspaces generated by solutions of linear ordinary differential equations of order less than seven is analyzed. The presented equations are either solved exactly or reduced to finite-dimensional dynamical systems. A number of concrete examples admitting invariant subspaces generated by power, trigonometric and exponential functions are computed to illustrate the resulting theory. |
| |
| Keywords: | evolution equation invariant subspace separation of variables reduction dynamical system |
|
|
