Complexiton solutions and soliton solutions: (2 + 1)-dimensional Date–Jimbo–Kashiwara–Miwa equation

[摘要] In this work, we derive the complexiton solutions for Date–Jimbo–Kashiwara–Miwa (DJKM) equation using the extended transformed rational function algorithm that relies on the Hirota bilinear form of the considered equation. Additional solutions such as complex-valued solutions also fall out of this integration scheme. Multisoliton-type solutions, in other words one-soliton, two-soliton and three-soliton solutions, which comprise both wave frequencies and generic phase shifts are presented through the medium of the multiple exp-function methodology which falls out as a result of generalisation of Hirota’s perturbation technique.

[学科分类] 物理（综合）

[关键词] Date–Jimbo–Kashiwara–Miwa equation;soliton solutions;multiple exp-function method;complexiton solutions;extended transformed rational function method