Localized fractal structure of the (2+1)-dimensional Broer-Kaup equations

Abstract

The linearized form of (2+1)dimensional Broer-Kaup equations is established b y using the improved homogeneous balance method. Starting from the B?cklund tra nsformation, a variableseparation solution with the entrance of some arbitrary function is obtained. By using Jacobian elliptic functions, new fractal structu res are obtained.