Exact solutions of a family of Fisher equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 94 (1993) no. 2, pp. 296-306 Cet article a éte moissonné depuis la source Math-Net.Ru

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A family of Kolmogorov–Petrovskii–Piskunov–Fisher equations is considered. Transformations of solutions that generalize devices used earlier to find special classes of exact solutions of nonlinear equations are proposed. Exact solutions of two types of Fisher equation are obtained.
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N. A. Kudryashov. Exact solutions of a family of Fisher equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 94 (1993) no. 2, pp. 296-306. http://geodesic.mathdoc.fr/item/TMF_1993_94_2_a8/

[1] Loskutov A. Yu., Mikhailov A. S., Vvedenie v sinergetiku, Nauka, M., 1990

[2] Vasilev V. A., Romanovskii Yu. M., Yakhno V. G., Avtovolnovye protsessy, Nauka, M., 1987

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

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

[5] Choudhary S., Phys. Lett.(A), 159 (1991), 331

[6] Kolmogorov A. N., Petrovskii I. G., Piskunov N. S., Byul. MGU. Sekts. A.1, 1937, no. 6, 1–26 | MR

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

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

[9] Zan H., Wang K., Phys. Lett.(A), 137:7,8 (1989), 369 | MR

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

[11] Conte R., Phys. Lett.(A), 134:2 (1988), 100 | DOI | MR

[12] Conte R., Phys. Lett.(A), 140:7,8 (1989), 383 | DOI | MR

[13] Zan S., Huang G., Ruan H., J. Phys.(A), 24 (1991), 587 | MR

[14] Huang G., Zuo S., Dai X., Phys. Lett.(A), 139:8 (1989), 373 | DOI | MR

[15] Dai X., Dai J., Phys. Lett.(A), 142:6,7 (1989), 367 | DOI | MR

[16] Kudryashov N. A., Phys. Lett.(A), 147:5,6 (1990), 287 | DOI | MR

[17] Kudryashov N. A., Phys. Lett.(A), 155:4,5 (1991), 269 | DOI | MR

[18] Clarkson P. A., Kruskal M. D., J. Math. Phys., 30:10 (1989), 220 | DOI | MR

[19] Kamke E., Spravochnik po obyknovennym differentsialnym uravneniyam, Nauka, M., 1971 | MR