期刊
APPLIED MATHEMATICS LETTERS
卷 88, 期 -, 页码 201-208出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2018.08.022
关键词
Geophysical flows; Generalized AB system; Darboux transformations; The higher-order rogue waves
资金
- Zhuoyue Funds of Beihang University, China
- National Natural Science Foundation of China [11272023]
- Fundamental Research Funds for the Central Universities, China [50100002016105010]
In this paper, we investigate a generalized AB system, which is used to describe certain baroclinic instability processes in the geophysical flows. For the two short waves and mean flow, we derive out the Darboux and generalized Darboux transformations, both relevant to the coefficient of the nonlinear term and coefficient related to the shear. When the coefficient of the nonlinear term is positive, with the generalized Darboux transformation, we present the algorithm to derive the Nth-order (N = 1,2, . . .) rogue wave solutions. The first- and second-order rogue wave solutions are shown, where our first-order rogue waves are different from those in the existing literatures. The two short waves and mean flow are related to the coefficient of the nonlinear term under certain conditions; the coefficient related to the shear has a linear effect on the mean flow while has no effect on the two short waves. The Nth-order rogue wave solutions turn to be singular when the coefficient of the nonlinear term is negative. (C) 2018 Elsevier Ltd. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据