Exact Solutions of Nonlinear Partial Differential Equations by the Method of Group Foliation Reduction
A novel symmetry method for finding exact solutions to nonlinear PDEs is illustrated by applying it to a semilinear reaction-diffusion equation in multi-dimensions. The method uses a separation ansatz to solve an equivalent first-order group foliation system whose independent and dependent variables...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
National Academy of Science of Ukraine
2011-07-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.3842/SIGMA.2011.066 |