A class of third-order nonlinear evolution equations admitting invariant subspaces and associated reductions

被引：17
|
作者：
Ye, Yujian [1 ]
Ma, Wen-Xiu [2 ]
Shen, Shoufeng [3 ]
Zhang, Danda [3 ]
机构：
[1] Hangzhou Dianzi Univ, Sch Management, Hangzhou 310018, Peoples R China
[2] Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA
[3] Zhejiang Univ Technol, Dept Appl Math, Hangzhou 310023, Zhejiang, Peoples R China
来源：
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2014年 / 21卷 / 01期
关键词：
evolution equation; invariant subspace; separation of variables; reduction; dynamical system; DIFFERENTIAL-EQUATIONS; MAXIMAL DIMENSION; SYMMETRY; SYSTEMS;
D O I：
10.1080/14029251.2014.894726
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页码：132 / 148
页数：17
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