Variable separation solutions to the coupled integrable dispersionless equations

摘要

In this paper, the variable separation solutions of the coupled integrable dispersionless equations are derived. These solutions include two arbitrary functions and they are more general than the results presented before. Furthermore, some coherent structures of the physical quantity including decaying bell solitary, single dromion, soliton-type breather, peakon-type breather and loop-type breather are constructed.