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Cnoidal wave solutions to Boussinesq systems. (English) Zbl 1122.35106

MSC:
35Q35 PDEs in connection with fluid mechanics
37K20 Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions
34L30 Nonlinear ordinary differential operators
35Q51 Soliton equations
35S15 Boundary value problems for PDEs with pseudodifferential operators
76B03 Existence, uniqueness, and regularity theory for incompressible inviscid fluids
76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
76B25 Solitary waves for incompressible inviscid fluids
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