Construction of KP solitons from wave patterns
Exactly Solvable and Integrable Systems
2015-06-17 v1 Mathematical Physics
math.MP
Pattern Formation and Solitons
Fluid Dynamics
Abstract
We often observe that waves on the surface of shallow water form complex web-like patterns. They are examples of nonlinear waves, and these patterns are generated by nonlinear interactions among several obliquely propagating waves. In this note, we discuss how to construct an exact soliton solution of the KP equation from such web-pattern of shallow water wave. This can be regarded as an "inverse problem" in the sense that by measuring certain metric data of the solitary waves in the given pattern, it is possible to construct an exact KP soliton solution which can describe the non-stationary dynamics of the pattern.
Cite
@article{arxiv.1309.2689,
title = {Construction of KP solitons from wave patterns},
author = {Sarbarish Chakravarty and Yuji Kodama},
journal= {arXiv preprint arXiv:1309.2689},
year = {2015}
}
Comments
17 pages, 14 figures (including 6 real wave photos)