Multiple-soliton solutions for extended (3+1)(3+1)-dimensional Jimbo–Miwa equations

In this work we investigate two extended (3+1)(3+1)-dimensional Jimbo–Miwa equations. We use the simplified Hirota’s method to derive multiple soliton solutions of distinct physical structures for each extended equation. We show that the dispersion relations and the phase shifts of the extended equations are distinct compared to the dispersion and shifts of the Jimbo–Miwa equation.