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Volume 21, Issue 1, February 2014, Pages 132 - 148
A class of third-order nonlinear evolution equations admitting invariant subspaces and associated reductions
Authors
Yujian Ye1, , Wen-Xiu Ma2, , Shoufeng Shen3, *, , Danda Zhang3,
1School of Management, Hangzhou Dianzi University, Hangzhou 310018, P.R. China
2Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620-5700, USA
3Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023, P.R. China
*Corresponding author.
Corresponding Author
Shoufeng Shen
Received 24 October 2013, Accepted 23 December 2013, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2014.894726How to use a DOI?
- Keywords
- evolution equation; invariant subspace; separation of variables; reduction; dynamical system
- 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.
- Copyright
- © 2014 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
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Cite this article
TY - JOUR AU - Yujian Ye AU - Wen-Xiu Ma AU - Shoufeng Shen AU - Danda Zhang PY - 2021 DA - 2021/01/06 TI - A class of third-order nonlinear evolution equations admitting invariant subspaces and associated reductions JO - Journal of Nonlinear Mathematical Physics SP - 132 EP - 148 VL - 21 IS - 1 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2014.894726 DO - 10.1080/14029251.2014.894726 ID - Ye2021 ER -