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Formation of nonlinear wave conductors at resonance interaction of three surface waves. (English. Russian original) Zbl 0881.76014
J. Appl. Math. 61, No. 2, 183-193 (1997); translation from Prikl. Mat. Mekh. 61, No. 2, 190-201 (1997).
The authors investigate resonance interaction of three two-dimensional wave packets of capillary and gravity waves on the surface of infinite deep ideal fluid. The existence of solutions of wave conductor type is proved and their stability is investigated with respect to the slow changes of the wave conductor boundaries and amplitude of waves along the wave conductor.
MSC:
76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
76E05 Parallel shear flows in hydrodynamic stability
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References:
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