Nonsingular complexiton solutions and resonant waves to an extended Jimbo–Miwa equation

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.