A class of third-order nonlinear evolution equations admitting invariant subspaces and associated reductions
Open Access
- 18 February 2014
- journal article
- other
- Published by Springer Nature in Journal of Nonlinear Mathematical Physics
- Vol. 21 (1) , 132
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
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