New (3$$\varvec{+}$$+1)-dimensional equations of Burgers type and Sharma–Tasso–Olver type: multiple-soliton solutions

We construct new ($$3+1$$3+1)-dimensional Burgers and Sharma–Tasso–Olver-type equations. We determine the dispersion relation for each of the newly derived models. By using the simplified Hirota’s method, we derive multiple-soliton solutions for each equation. We derive a generalized dispersion relation that works for both equations.

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