Localized structures for (2+1)-dimensional Boitia€“Leona€“Pempinelli equation

摘要

It is shown that Painlev?? integrability of (2+1)-dimensional Boitia€“Leona€“Pempinelli equation is easy to be verified using the standard Weissa€“Tabora€“Carnevale (WTC) approach after introducing the Kruskala€?s simplification. Furthermore, by employing a singular manifold method based on Painlev?? truncation, variable separation solutions are obtained explicitly in terms of two arbitrary functions. The two arbitrary functions provide us a way to study some interesting localized structures. The choice of rational functions leads to the rogue wave structure of Boitia€“Leona€“Pempinelli equation. In addition, for the other choices, it is observed that two solitons may evolve into breather after interaction. Also, the interaction between two kink compactons is investigated.