© 2019 Polish Academy of Sciences. All rights reserved.This work studies a new (3+1)-dimensional nonlinear model, which was introduced by Abdul-Majid Wazwaz in 2014. This new physical model describes the shallow-water waves and short waves in nonlinear dispersive models. Analytical traveling wave solutions including the solitons and plane wave solutions are derived by using the G0/G-expansion technique. Moreover, the conserved quantities of this model are also given.