Solitary wave and other solutions for nonlinear heat equations

Author:

Nikitin Anatoly G.,Barannyk Tetyana A.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Reference19 articles.

1. J.D. Murray: Mathematical Biology, Springer, 1991.

2. A.N. Kolmogorov, I.G. Petrovskii and N.S. Piskunov: “A study of the diffusion equation with increase in the quantity of matter and its application to a biological problem”, Bull. Moscow Univ. Sér. Int. A, Vol. 1(1), (1937).

3. R. Fitzhugh: “Impulses and physiological states in models of nerve membrane”, Biophys. J., Vol. 1(445), 1961; J.S. Nagumo, S. Arimoto and S. Yoshizawa: “An active pulse transmission line simulating nerve axon”, Proc. IRE, Vol. 50(2061), (1962).

4. A.C. Newell and J.A. Whitehead: “Finite bandwidth, finite amplitude convection”, J. Fluid Mech., Vol. 38(279), (1969).

5. V.A. Dorodnitsyn: “On invariant solutions of nonlinear heat equation with source”, Comp. Meth. Phys., Vol. 22(115), (1982).

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