| Æ¡Æ¡In integrable models, symmetries play a very important role. Given a nonlinear PDE, if one can find "enough" symmetry, then it's expected to find exact solutions of it, such as solitons and periodic solutions. The Lax equation (or zero curvature equation) will provide a effective way to construct a nonlinear PDE having infinite symmetries (hierarchy). In this talk, we will discuss the integrable structures of certain hydrodynamic systems-dispersionless modified KP (dmKP) hierarchy, which can be constructed from the Lax equation. The results of dmKP hierarchy one obtained will be presented and the directions of research will also be given. |