Abstract
The goal of this letter is to consider an extended Jimbo–Miwa equation which exists nonsingular complexiton solutions in (3+1)-dimensions. A few types of two-wave and complexiton solutions are developed through symbolic computations with Maple, including resonant two-wave solutions and nonsingular complexiton solutions. Nonsingular complexitons to the generalized Jimbo–Miwa equation should be new, though there exist plenty of studies in the literature. A few specific cases are derived to illustrate the remarkable richness of explicit solutions for the considered equation.
•Exact solutions to an extended Jimbo-Miwa equation are obtained.•Resonant two-wave and nonsingular complexiton solutions are generated.•Specific examples are given to illustrate the richness of exact solutions.