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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...
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Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
Інститут математики НАН України
2011
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Series: | Symmetry, Integrability and Geometry: Methods and Applications |
Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/147187 |
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