Solitary Traveling Water Waves of Moderate Amplitude
- 10.1142/S1402925112400104How to use a DOI?
- Solitary waves; moderate amplitude; homoclinic orbit
We prove the existence of solitary traveling wave solutions for an equation describing the evolution of the free surface for waves of moderate amplitude in the shallow water regime. This nonlinear third-order partial differential equation arises as an approximation of the Euler equations, modeling the unidirectional propagation of surface water waves. We give a description of the solitary wave profiles by performing a phase plane analysis and study some qualitative features of the solutions.
- © 2012 The Authors. Published by Atlantis Press and Taylor & Francis
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- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Anna Geyer PY - 2012 DA - 2012/11/28 TI - Solitary Traveling Water Waves of Moderate Amplitude JO - Journal of Nonlinear Mathematical Physics SP - 104 EP - 115 VL - 19 IS - Supplement 1 SN - 1776-0852 UR - https://doi.org/10.1142/S1402925112400104 DO - 10.1142/S1402925112400104 ID - Geyer2012 ER -