Diamond shaped standing wave patterns of a two-dimensional Boussinesq system

摘要

We prove the existence of a large family of two-dimensional diamond shaped standing waves 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. (C) 2018 IMACS. Published by Elsevier B.V. All rights reserved.