Journal
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
Volume 59, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2020.103244
Keywords
Rotation-Camassa-Holm equation; Coriolis effect; Solitary waves
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Funding
- Incheon National University, Republic of Korea Research Grant [2018-0303]
- Basic Science Research Program through the National Research Foundation of Korea (NRF) - Ministry of Education, Republic of Korea [2017R1C1B1002336]
- National Research Foundation of Korea [2017R1C1B1002336] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
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The paper discusses the nonexistence of periodic peaked traveling wave solution for rotation-Camassa-Holm equation. This equation differs from others such as Camassa-Holm equation, modified Carnassa-Holm equation, and Novikov equation in terms of having no nontrivial periodic Camassa-Holm peaked solution.
Recently, Zhu et al. (2020) proposed a kind of rotation-Camassa-Holm equation. In this paper, we study the question of nonexistence of periodic peaked traveling wave solution for rotation-Camassa-Holm equation. Indeed, rotation-Camassa-Holm equation has no nontrivial periodic Camassa-Holm peaked solution unlike Camassa-Holm equation, modified Carnassa-Holm equation, Novikov equation. (C) 2020 Elsevier Ltd. All rights reserved.
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