Symbolic computation and possibly observable effects for the soliton-like liquid wave propagation in the presence of surface tension

摘要

Phenomena on the liquid surfaces are of current importance, such as those for rivers, oceans, liquid propellant for rockets and aviation kerosene. Wave propagation on a liquid surface in the presence of surface tension is hereby investigated. Computerized symbolic computation, generalized hyperbolic-function method and Wu method are combined. Some soliton-like, exact analytic solutions are obtained for a recently-proposed (2 + 1)-dimensional 6th-order model. Possibly observable effects are also proposed, which certain future experiments may hopefully discover.