Oblique interaction of internal solitary waves in a two-layer fluid of infinite depth

Oblique interaction of internal solitary waves in a two-layer fluid system with infinite depth is studied. Two-dimensional Benjamin–Ono (BO) equation is solved numerically to investigate the strong interactions of the non-linear long waves whose propagation directions are very close to each other. Computations of time development are performed for two initial settings: the first one is superposition of two BO solitons with the same amplitude and with different propagation directions, and the second one is an oblique reflection of a BO soliton at a vertical wall. It is observed that the Mach reflection does occur for small incident angles and for some incident angles very large stem waves are generated.