Abstract
The current work aims to present an extended integrable (3+1)-dimensional Mikhailov-Novikov-Wang equation. The complete integrability of this extended equation via using Painleve analysis is studied. We show that the new additional terms to the standard (1+1)-dimensional Mikhailov-Novikov-Wang equation do not terminate its complete integrability. A variety of multiple soliton solutions, by imposing appropriate parameter selections, is obtained by using the simplified Hirota's scheme. We provide other solutions that include rational, periodic, and exponential ones. The extended Mikhailov-Novikov-Wang equation provides new insights of the relation between water waves and integrability by imposing appropriate parameters.