On a capillarity model and the Davey-Stewartson I system: Quasi-doubly periodic wave patterns

A phase field capillarity model due to Antanovskii is investigated under irrotational conditions. For certain two-parameter specific free-energy functions and appropriate external driving conditions, the (2 + 1)-dimensional nonlinear model is reduced to an integrable Davey-Stewartson system. Novel quasi-doubly periodic wave patterns are thereby generated. In the long-wave limit, exponentially localized pulses are retrieved. © Società Italiana di Fisica.link_to_subscribed_fulltex