Homoclinic orbits and periodic solitons for Boussinesq equation with even constraint. (English) Zbl 1070.35029

Summary: We study the explicit homoclinic orbits solutions for the “bad” Boussinesq equation with periodic boundary condition and even constraint, and periodic soliton solutions for the “good” Boussinesq equation with even constraint.


35Q35 PDEs in connection with fluid mechanics
37J45 Periodic, homoclinic and heteroclinic orbits; variational methods, degree-theoretic methods (MSC2010)
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