Functional self-similarity in~a~problem of~plasma theory with electron nonlinearity
Teoretičeskaâ i matematičeskaâ fizika, Tome 81 (1989) no. 1, pp. 69-85

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Functional self-similarity one-dimensional inhomogeneous electron plasma under the influence of intensive electro-magnetic radiation is demonstrated. Using the group transformation of the results of the perturbation theory in the nonlinearity parameter, we find the exact and renormalization group solutions for the nonlinear structure of the electromagnetic field and analyze its spectral contents.
@article{TMF_1989_81_1_a6,
     author = {V. F. Kovalev and V. V. Pustovalov},
     title = {Functional self-similarity in~a~problem of~plasma theory with electron nonlinearity},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     publisher = {mathdoc},
     volume = {81},
     number = {1},
     year = {1989},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1989_81_1_a6/}
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V. F. Kovalev; V. V. Pustovalov. Functional self-similarity in~a~problem of~plasma theory with electron nonlinearity. Teoretičeskaâ i matematičeskaâ fizika, Tome 81 (1989) no. 1, pp. 69-85. http://geodesic.mathdoc.fr/item/TMF_1989_81_1_a6/