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

作者：Cheng, Li^*; Zhang, Yi; Ma, Wen-Xiu

来源：Results in Physics, 2021, 20: 103711.

DOI：10.1016/j.rinp.2020.103711

• Jimbo-Miwa equation
• Bilinear form
• Nonsingular complexiton solutions
• Resonant wave solutions
• Symbolic computations

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.

• 单位
  西北大学; 浙江师范大学