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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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[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.; Zakharov, V.E., Izv. vuzov SSSR radiofizica, 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.
[10] Anker, D.; Freeman, N.S., (), 529
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