Periodic travelling waves of moderate amplitude. (English) Zbl 1538.35109
Summary: In this paper, using a variational approach, we show the existence of periodic travelling waves for a nonlinear dispersive equation that emerges in the study of the evolution free surface for waves of moderate amplitude in the shallow water regime.
MSC:
35C07 | Traveling wave solutions |
35Q35 | PDEs in connection with fluid mechanics |
35Q51 | Soliton equations |
76B25 | Solitary waves for incompressible inviscid fluids |