The effect of linear shear current on head-on collision of solitons

Head-on collision of two solitary waves in the presence linear shear currents is studied by use High-Level Green–Naghdi (HLGN) theory. The finite difference method used to solve HLGN model time-domain simulation. initial values are obtained steady solution currents. Shear with different velocities considered assess their effect on solitary-wave collision. Three aspects head-on process current studied, namely, wave elevation, velocity field, and particle trajectory. Results show that background significantly affects trajectory during It observed current, elevation narrower near maximum surface displacement wider still-water level. also shown seafloor, horizontal opposite direction, while it following direction free surface. results formation a vortex fluid field. At point collision, appears at lower vertical position shifts upstream direction. Following trajectories particles do not return positions after collisions, loop motions become smaller larger velocities.