Journal
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
Volume 53, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2019.103067
Keywords
Periodic traveling wave; Solitary wave; Coexistence
Categories
Funding
- National Natural Science Foundation of China [11861009]
- Natural Science Foundation of Guangxi Province [2016GXNSFDA380031, 2018GXNSFAA138198]
- Program for Innovative Team of GUFE (2018-2021)
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The existence of a solitary wave for the shallow water model in convecting circumstance was established in previous works. It is still unknown that whether there exist periodic waves. In this paper, we prove that the models possess periodic waves with a fixed range of wave speed. The amplitude and wave speed are explicitly given. Moreover, the coexistence of the solitary wave and one periodic wave is established. (C) 2019 Elsevier Ltd. All rights reserved.
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