Geodesic
On asymptotyic evolution of a localized perturbation in the case of one dimensional Landau–Lifshitz equation with one-axis anisotropy
Teoretičeskaâ i matematičeskaâ fizika, Tome 109 (1996) no. 1, pp. 128-136 
A. M. Kamchatnov; A. L. Krylov; G. A. El. On asymptotyic evolution of a localized perturbation in the case of one dimensional Landau–Lifshitz equation with one-axis anisotropy. Teoretičeskaâ i matematičeskaâ fizika, Tome 109 (1996) no. 1, pp. 128-136. http://geodesic.mathdoc.fr/item/TMF_1996_109_1_a11/
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     author = {A. M. Kamchatnov and A. L. Krylov and G. A. El},
     title = {On asymptotyic evolution of a~localized perturbation in the case of one dimensional {Landau{\textendash}Lifshitz} equation with one-axis anisotropy},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     volume = {109},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1996_109_1_a11/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

Modulational instability of the plane waves in one-dimensional ferromagnetic described by the Landau–Lifshitz equation is analysed on the basis of the Whitham method. It is shown that this instability leads to formation of the domain structure in the system.

[1] J. Bernasconi, T. Schneider, Physics in One Dimension, Springer, Berlin, 1981 | MR

[2] S. E. Trullinger, V. E. Zakharov, V. L. Pokrovsky, Solitons, Noth-Holland, Amsterdam, 1986 | MR

[3] A. R. Bishop, D. K. Campbell, P. Kumar, S. E. Trullinger, Nonlinearity in Condensed Matter, Springer, Berlin, 1987 | MR

[4] A. M. Kosevich, B. A. Ivanov, S. A. Kovalev, Nelineinye volny namagnichennosti. Dinamicheskie i topologicheskie solitony, Naukova dumka, Kiev, 1983

[5] V. I. Karpman, Nelineinye volny v dispergiruyuschikh sredakh, Nauka, M., 1973 | MR

[6] G. A. El', A. V. Gurevich, V. V. Khodorovskii, A. L. Krylov, Phys. Lett., A177 (1993), 357

[7] Dzh. Uizem, Lineinye i nelineinye volny, Mir, M., 1977 | MR

[8] A. M. Kamchatnov, Phys. Lett., A162 (1992), 389 | DOI | MR

[9] R. F. Bikbaev, A. I. Bobenko, A. R. Its, DAN SSSR, 272 (1983), 1293 | MR | Zbl

[10] A. I. Bobenko, Funkts. analiz i ego prilozh., 19 (1985), 6 | MR | Zbl

[11] A. M. Kamchatnov, ZhETF, 102 (1992), 1606 | MR

[12] H. Flaschka, G. Forest, D. W. McLaughlin, Comm. Pure Appl. Math., 33 (1979), 739 | DOI | MR

[13] I. M. Krichever, Funk. analiz i ego prilozh., 22:3 (1988), 37 | MR | Zbl

[14] A. M. Kamchatnov, Phys. Lett., A186 (1994), 389 | MR

[15] A. M. Kamchatnov, ZhETF, 97 (1990), 144

[16] A. V. Gurevich, A. L. Krylov, G. A. El, Pisma v ZhETF, 54 (1991), 104

[17] V. R. Kudashev, Pisma v ZhETF, 54 (1991), 179

[18] M. V. Pavlov, TMF, 71 (1987), 351 | Zbl

[19] A. V. Gurevich, L. P. Pitaevskii, ZhETF, 65 (1973), 590