In this paper it is shown that there exist exact solutions of the Fitzhugh-Nagumo equation which can be obtained using the nonclassical method for determining symmetry reductions of partial differential equations developed by Bluman and Cole [J. Math. Mech. 18 (1969) 1025], but which are not obtained using the direct method as developed by Clarkson and Kruskal [J. Math. Phys. 30 (1989) 2201].
NUCCI, M.C., P. A. Clarkson (1992). The nonclassical method is more general than the direct method for symmetry reductions: an example of the Fitzhugh-Nagumo equation. PHYSICS LETTERS A, 164(1), 49-56 [10.1016/0375-9601(92)90904-Z].
The nonclassical method is more general than the direct method for symmetry reductions: an example of the Fitzhugh-Nagumo equation
NUCCI, Maria Clara;
1992
Abstract
In this paper it is shown that there exist exact solutions of the Fitzhugh-Nagumo equation which can be obtained using the nonclassical method for determining symmetry reductions of partial differential equations developed by Bluman and Cole [J. Math. Mech. 18 (1969) 1025], but which are not obtained using the direct method as developed by Clarkson and Kruskal [J. Math. Phys. 30 (1989) 2201].File in questo prodotto:
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