Explicit solutions, conservation laws of the extended (2+1)-dimensional Jaulent-Miodek equation

Abstract

By applying the direct symmetry method, the symmetry reductions and some new group invariant solutions were obtained, We have derived some exact solutions by using the relationship between the new solutions and the old ones, which include Weierstrass periodic solutions, elliptic periodic solutions, triangular function solutions and so on. Also, in order to reflect the characteristics and properties of this solutions, we give figures of some solutions. In addition, we give the conservation laws of the extended (2+1)-dimensional Jaulent-Miodek equation. At last, we draw conclusions and discuss it.