Conditional Lie–Bäcklund symmetries and invariant subspaces to nonlinear diffusion equations with source
This paper considers conditional Lie–Bäcklund symmetries of the radially symmetric nonlinear diffusion equations with source. We obtain a complete list of canonical forms for such equations which admit higher-order conditional symmetries. As a consequence, the solutions of the resulting equations are constructed on the invariant subspaces admitted by the corresponding equations.
Year of publication: |
2012
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Authors: | Ji, Lina |
Published in: |
Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 391.2012, 24, p. 6320-6331
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Publisher: |
Elsevier |
Subject: | Conditional Lie–Bäcklund symmetry | Invariant subspace | Nonlinear diffusion equations | Dynamical system |
Saved in:
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