Complexiton solutions and soliton solutions: (2+1)-dimensional Date-Jimbo-Kashiwara-Miwa equation
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Date
2018-07-23
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Indian Academy Sciences
Abstract
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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Keywords
Physics, Date-Jimbo-Kashiwara-Miwa equation, Soliton solutions, Multiple exp-function method, Complexiton solutions, Extended transformed rational function method, Lump-kink solutions, Exp-function method, Conservation-laws, Kp, Perturbation techniques, Solitons, 02.30.Gp, 02.30.Ik, 02.30.Jr, Complexiton solutions, Exp-function method, Extended transformed rational function method, Soliton solutions, Rational functions
Citation
Adem, A. vd. (2019). ''Complexiton solutions and soliton solutions: (2+1)-dimensional Date-Jimbo-Kashiwara-Miwa equation''. Pramana-Journal of Physics, 92(3).