Geodesic
Mathematical model of the full Fermi--Pasta--Ulam (FPU) recurrence within the framework of the coupled system of Korteveg de Vries and sinus Gordon (SG)
Matematičeskoe modelirovanie, Tome 14 (2002) no. 10, pp. 105-108.

Voir la notice de l'article provenant de la source Math-Net.Ru

Within the framework of the coupled system of Korteveg de Vries and sinus-Gordon equations there has been developed a mathematical model of the full Fermi–Pasta–Ulam recurrence during which an energy exchange takes place between low and high frequency modes. Jt differs from the canonical Fermi–Pasta–Ulame recurrence under which the regrouping of energy is observed only within a few low frequency modes. 
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     author = {A. A. Berezin},
     title = {Mathematical model of the full {Fermi--Pasta--Ulam} {(FPU)} recurrence within the framework of the coupled system of {Korteveg} de {Vries} and sinus {Gordon} {(SG)}},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {105--108},
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     volume = {14},
     number = {10},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2002_14_10_a10/}
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A. A. Berezin. Mathematical model of the full Fermi--Pasta--Ulam (FPU) recurrence within the framework of the coupled system of Korteveg de Vries and sinus Gordon (SG). Matematičeskoe modelirovanie, Tome 14 (2002) no. 10, pp. 105-108. http://geodesic.mathdoc.fr/item/MM_2002_14_10_a10/

[1] Fermi E., Pasta J., Ulam S., Collected Papers of E. Fermi, 2, 1955, 978

[2] Zubusky N. J., Kruskal M. D., Phys. Rev. Lett., 15 (1965), 240 | DOI

[3] Izrailev F. M., Chirikov B. V., Soviet. Phys Dokl., 11 (1966), 30

[4] Lichtenberg A. J., M. A. Lieberman, Appl. Math. Sci., 38 (1991), 450–469

[5] Parmentier R. D., “Fluxons In Distributed Josephson Contacts”, Solitons in Action, Academic Press, 1978, 185–209

[6] Fogel M. B. et al., Phys.Rev. B, 15 (1977) | DOI | MR