Exact single-wave and two-phase solutions for sistems of semilinear parabolic equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 101 (1994) no. 2, pp. 189-199 Cet article a éte moissonné depuis la source Math-Net.Ru

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Exact single-wave and two-wave solutions of systems of equations of the Newell–Whitehead type are presented. The Painlevé test and calculations in the spirit of Hirota are used to construct these solutions.
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     title = {Exact single-wave and two-phase solutions for sistems of semilinear parabolic equations},
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K. A. Volosov; V. G. Danilov; A. M. Loginov. Exact single-wave and two-phase solutions for sistems of semilinear parabolic equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 101 (1994) no. 2, pp. 189-199. http://geodesic.mathdoc.fr/item/TMF_1994_101_2_a2/

[1] Newell A. C., Whitehead J. A., Fluid. Mech., 38 (1969), 279 | DOI | MR | Zbl

[2] Maslov V. P., Danilov V. G., Volosov K. A., Matematicheskoe modelirovanie protsessov teplomassoperenosa, Nauka, M., 1987 | MR

[3] Danilov V. G., Subochev P. Yu., Tochnye odnofaznye i dvukhfaznye resheniya polulineinykh parabolicheskikh uravnenii, Preprint MIAN SSSR, 1988

[4] Danilov V. G., Subochev P. Yu., TMF, 89:1 (1991), 25–47 | MR | Zbl

[5] Ablowits M., Zeppetella A., Bull. Math. Biol., 41:6 (1979), 835 | DOI | MR

[6] Weiss J., Tabor M., Canevale G., J. Math. Phys., 24 (1983), 522 | DOI | MR | Zbl

[7] Careillo F., Tabor M., Physica D, 32 (1989), 77 | DOI

[8] Murray J., J. Theor. Biol., 56 (1976), 329–353 | DOI | MR

[9] Field R. Y., Noyes R. M., J. Chem. Phys., 160 (1974), 1877–1884 | DOI

[10] Murray J., Lectures on Nonlinear Differential Equations. Models in Biology, Clarendon Press, Oxford, 1977, 227 | Zbl