期刊
APPLIED MATHEMATICS LETTERS
卷 56, 期 -, 页码 72-77出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2015.12.016
关键词
Nonlocal evolution equations; Rogue waves
资金
- Research Grants Council [HKU711713, HKU17200815]
Breathers and rogue waves as exact solutions of a nonlocal partial differential equation of the third order are derived by a bilinear transformation. Breathers denote families of pulsating modes and can occur for both continuous and discrete systems. Rogue waves are localized in both space and time, and are obtained theoretically as a limiting case of breathers with indefinitely large periods. Both entities are demonstrated analytically to exist for special classes of nonlocal equations relevant to optical waveguides. (C) 2016 Elsevier Ltd. All rights reserved.
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