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On a Boussinesq Capillarity System: Hamiltonian Reductions and Associated Quartic Geometries



A nonlinear Boussinesq-type capillarity model system is shown to admit exact reductions to coupled Hamiltonian subsystems associated with time-modulated quartic density distributions. In particular, in 3+1 dimensions, time-modulated “red blood cell” geometries for the density distribution are isolated.

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