Multiple soliton solutions for some (3+1 )-dimensional nonlinear models generated by the Jaulent–Miodek hierarchy

In this work we study four (3+1)-dimensional nonlinear evolution equations, generated by the Jaulent–Miodek hierarchy. We derive multiple soliton solutions for each equation by using the Hereman–Nuseir form, a simplified form of the Hirota’s method. The obtained soliton solutions are characterized by distinct phase shifts.