The N-loop soliton solutions for (2+1)-dimensional Vakhnenko equation

A (2+1)-dimensional Vakhnenko equation is investigated, which describes high-frequent wave propagations in relaxing medium. The N-loop soliton solutions for the equation are calculated by applying the improved Hirota method and the variable transformations. The N-loop soliton solutions can be expressed explicitly. Furthermore, the interaction patterns are graphically observed for the N-loop soliton solutions. The dynamical interactions among the N-solitons (N≥2) are elastic.