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Degenerative dispersion laws, motion invariants and kinetic equations. (English) Zbl 1194.37162


MSC:

37N10 Dynamical systems in fluid mechanics, oceanography and meteorology
35L70 Second-order nonlinear hyperbolic equations
35Q20 Boltzmann equations
76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
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References:

[1] Zakharov, V. E.; Shabat, A. B., Funct. Anal. Appl., 8, 226 (1974)
[2] Manakov, S. V.; Zakharov, V. E.; Bordag, L. A.; Its, A. R.; Matveev, V. B., Phys. Lett., 63A, 205 (1977)
[3] Zakharov, V. E.; Manakov, S. V., Soviet Scientific Review (1979)
[4] Johnson, R. S.; Thompson, S., Phys. Lett., 66A, 279 (1978)
[5] Satsuma, I., J. Phys. Soc. Japan, 40, 286 (1976)
[6] Zakharov, V. E., Pisma v ZhETF, 22, 354 (1975)
[7] Zakharov, V. E., Izv. Vuzov SSSR Radiofizica, 18, 1470 (1975)
[8] Zakharov, V. E., Dokl. Acad. Nauk SSSR, 228, 1314 (1976)
[9] E.I. Schulman, Theor. Math. Phys. (in Russian), to be published.; E.I. Schulman, Theor. Math. Phys. (in Russian), to be published.
[10] Anker, D.; Freeman, N. S., (Proc. Roy. Soc. Lond., A360 (1978)), 529
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