Journal
PRAMANA-JOURNAL OF PHYSICS
Volume 92, Issue 3, Pages -Publisher
INDIAN ACAD SCIENCES
DOI: 10.1007/s12043-018-1707-x
Keywords
Date-Jimbo-Kashiwara-Miwa equation; soliton solutions; multiple exp-function method; complexiton solutions; extended transformed rational function method
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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.
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