Hexagonal standing wave patterns of a two-dimensional Boussinesq system
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🧮 math.AP
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standingwavesboussinesqsystemtwo-dimensionalbifurcationchanneldescribes
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We prove the existence of a large family of two-dimensional standing waves, that are triple periodic solutions, for a Boussinesq system which describes two-way propagation of water waves in a channel. Our proof uses the Lyapunov-Schmidt method to find the bifurcation standing waves.
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