期刊
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
卷 460, 期 1, 页码 476-486出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2017.11.024
关键词
(2+1)-dimensional; Konopelchenko-Dubrovsky equations; Sato theory; Hirota method; Solitons; Soliton interaction
资金
- National Natural Science Foundation of China [11772017, 11471050]
- State Key Laboratory of Information Photonics and Optical Communications (Beijing University of Posts and Telecommunications), P. R. China [IPOC:2017ZZ05]
- Fundamental Research Funds for the Central Universities of China [2011BUPTYB02]
In this paper, we investigate the (2 + 1)-dimensional Konopelchenko-Dubrovsky equations. Via the Sato theory and Hirota method, we present the soliton solutions in terms of the Gram determinant which can yield the bright, depression and kink solitons. With the help of analytic and graphic analysis, we find that (1) the parallel interactions occur between the kink and depression solitons, between the two bright solitons and between the two depression solitons; (2) the oblique elastic interactions occur between the bright and depression solitons, between the two bright solitons and between the two depression solitons; (3) the oblique inelastic interactions occur between the two kink solitons, between the kink and bright solitons, between the kink and depression solitons, between the two bright solitons and between the two depression solitons. (C) 2017 Elsevier Inc. All rights reserved.
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