Nonexistence of the periodic peaked traveling wave solutions for rotation-Camassa–Holm equation |
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| Institution: | 1. Department of Mathematics, Shanghai Normal University, Shanghai 200234, China;2. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China;1. School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731, PR China;2. Department of Mathematics, Nanjing Forestry University, Nanjing 210037, PR China |
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| Abstract: | 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 Camassa–Holm equation, Novikov equation. |
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| Keywords: | Rotation-Camassa–Holm equation Coriolis effect Solitary waves |
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