Results in Physics (Jan 2021)

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

  • Li Cheng,
  • Yi Zhang,
  • Wen-Xiu Ma

Journal volume & issue
Vol. 20
p. 103711

Abstract

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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.

Keywords