Geodesic
The asymptotic solution of weak nonlinear differential equation system ``reaction-diffusion'' type
Matematičeskoe modelirovanie, Tome 16 (2004) no. 8, pp. 50-58.

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The asymptotic representation of the solution of the singularly pertorbed weak nonlinear differential equations system “reaction-diffusion” type is constracted. The main feature of the problem is the transition internal layer, which is discribed by nonlinear Burgers-type parabolic equation. 
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A. V. Nesterov; O. V. Shuliko. The asymptotic solution of weak nonlinear differential equation system ``reaction-diffusion'' type. Matematičeskoe modelirovanie, Tome 16 (2004) no. 8, pp. 50-58. http://geodesic.mathdoc.fr/item/MM_2004_16_8_a3/

[1] Vasileva A. V., Butuzov V. F., Asimptoticheskie razlozheniya reshenii singulyarno vozmuschennykh uravnenii, Mir, M., 1973, 272 pp. | MR

[2] Vasileva A. V., Butuzov V. F., Singulyarno vozmuschennye uravneniya v kriticheskikh sluchayakh, Izd-vo MGU, M., 1978, 262 pp. | MR

[3] A. M. Ilin, Soglasovanie asimptoticheskikh razlozhenii reshenii kraevykh zadach, Nauka, M., 1989, 334 pp. | MR

[4] A. V. Nesterov, “Ob asimptotike resheniya sistemy uravnenii “diffuziya-sorbtsiya” pri malykh koefitsientakh diffuzii”, ZhVMiMF, 29, 13:9 (1989), 1318–1330 | MR

[5] A. V. Nesterov, “Asimptotika resheniya slabo nelineinoi sistemy differentsialnykh uravnenii tipa “reaktsiya-perenos””, Matematicheskoe modelirovanie, 13:12 (2001), 58–64 | MR | Zbl