M-lump, N-soliton solutions, and the collision phenomena for the (2+1)-dimensional Date-Jimbo-Kashiwara-Miwa equationopen access
- Authors
- Ismael, Hajar F.; Bulut, Hasan; Park, Choonkil; Osman, Mohammed S.
- Issue Date
- Dec-2020
- Publisher
- ELSEVIER
- Keywords
- N-soliton solutions; M-lump solutions; Collision phenomena; Date-Jimbo-Kashiwara-Miwa equation
- Citation
- RESULTS IN PHYSICS, v.19, pp.1 - 6
- Indexed
- SCIE
SCOPUS
- Journal Title
- RESULTS IN PHYSICS
- Volume
- 19
- Start Page
- 1
- End Page
- 6
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/144123
- DOI
- 10.1016/j.rinp.2020.103329
- ISSN
- 2211-3797
- Abstract
- In this work, N-soliton waves, fusion solutions, mutiple M-lump solutions and the collision phenomena between one-M-lump and one-, two-soliton solutions to the (2 + 1)-dimensional Date-Jimbo-Kashiwara-Miwa equation are successfully revealed. A class of one-, two-, three-soliton, one-, two-fusion solutions are derived via the Hirota bilinear method and 1-M-lump, 2-M-lump solutions are constructed via the long-wave method. Moreover, physical collision phenomenon of 1-M-lump with one-, two-soliton solutions and also, with fusion solutions are successfully presented. The velocity of the 1-M-lump wave in x- and y-direction are also studied.
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