New solutions for periodic interfacial gravity waves

Summary: This study examines the limiting configuration of interfacial solitary waves between two homogeneous fluids, including a sharp angle and an enclosed bubble. By using a boundary integral equation method, the almost limiting profiles are computed, and a reduced model is proposed to further investigate the local configuration of the limiting profile. It is shown that the simplified model provides a good local approximation to the assumed limiting configuration when the angle is 2 pi/3.