M-lump, N-soliton solutions, and the collision phenomena for the (2 + 1)-dimensional Date-Jimbo-Kashiwara-Miwa equation
- Title
- M-lump, N-soliton solutions, and the collision phenomena for the (2 + 1)-dimensional Date-Jimbo-Kashiwara-Miwa equation
- Author
- 박춘길
- Keywords
- N-soliton solutions; M-lump solutions; Collision phenomena; Date-Jimbo-Kashiwara-Miwa equation
- Issue Date
- 2020-12
- Publisher
- ELSEVIER
- Citation
- RESULTS IN PHYSICS, v. 19, article no. 103329, page. 1-6
- 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.
- URI
- https://www.sciencedirect.com/science/article/pii/S2211379720317964?via%3Dihubhttps://repository.hanyang.ac.kr/handle/20.500.11754/173801
- ISSN
- 2211-3797
- DOI
- 10.1016/j.rinp.2020.103329
- Appears in Collections:
- COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
- Files in This Item:
- M-lump, N-soliton solutions, and the collision phenomena for the (2 + 1)-dimensional Date-Jimbo-Kashiwara-Miwa equation.pdfDownload
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