Propagation of acoustic solitons in bubbly-liquid-type nonlinear underwater acoustic metamaterials

We study the propagation law and strong anti-interference ability of KdV pulse type acoustic solitons in bubbly-liquid-type nonlinear underwater acoustic metamaterials, and analyze the effects of nonlinearity and dispersion on the dynamic properties of acoustic solitons. Based on the bubble-liquid mixture model, a KdV equation is obtained. The analytical expression for KdV pulse type acoustic solitons in bubbly-liquid-type nonlinear underwater acoustic metamaterials has been derived, which can accurately capture the propagation law of acoustic solitons in physical systems. The dynamic characteristics of acoustic solitons are studied through analytical and numerical methods, and the balance between nonlinearity and dispersion in soliton propagation is analyzed. In addition, the dynamic stability of KdV pulse type acoustic solitons in bubbly-liquid-type nonlinear underwater acoustic metamaterials is emphasized through complete elastic collisions between solitons moving in the same direction and in opposite directions. This process obeys the energy and momentum conservation laws. After the collision, the KdV pulse type acoustic solitons can maintain their original amplitude, speed and shape and continue to propagate undisturbed.