Volume 27, Issue 2, January 2020, Pages 219 - 226
Cusped solitary wave with algebraic decay governed by the equation for surface waves of moderate amplitude
Authors
Bo Jiang*, Youming Zhou
Department of Applied Mathematics, Jiangsu University of Technology Changzhou, Jiangsu 213001 P. R. China,jb@jstu.edu.cn,ymzhou@jstu.edu.cn
*Corresponding author.
Corresponding Author
Bo Jiang
Received 24 May 2019, Accepted 28 August 2019, Available Online 27 January 2020.
- DOI
- 10.1080/14029251.2020.1700632How to use a DOI?
- Keywords
- Cusped solitary wave; Algebraic decay; Free surface; Shallow water; Moderate amplitude
- Abstract
The existence of a new type of cusped solitary wave, which decays algebraically at infinity, for a nonlinear equation modeling the free surface evolution of moderate amplitude waves in shallow water is established by employing qualitative analysis for differential equations. Furthermore, the exact parametric representation as well as its planar graph for such type of wave is also given.
- Copyright
- © 2020 The Authors. Published by Atlantis and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
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TY - JOUR AU - Bo Jiang AU - Youming Zhou PY - 2020 DA - 2020/01/27 TI - Cusped solitary wave with algebraic decay governed by the equation for surface waves of moderate amplitude JO - Journal of Nonlinear Mathematical Physics SP - 219 EP - 226 VL - 27 IS - 2 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2020.1700632 DO - 10.1080/14029251.2020.1700632 ID - Jiang2020 ER -