Surface gravity waves of the Boussinesq equation
Fluid Dynamics
2018-05-23 v1 Exactly Solvable and Integrable Systems
Abstract
This article is devoted to exact solutions of the Boussinesq equation that models nonlinear shallow water waves. For this we use the Hirota bilinear method and differential constrains. Out solutions describe in particular the motion of the wave packets, waves on soliton and "dancing" waves. We present a simple method for multiplication of solutions of the Hirota equation which allow us to generate more complex structures from the waves.
Keywords
Cite
@article{arxiv.1805.08401,
title = {Surface gravity waves of the Boussinesq equation},
author = {O. V. Kaptsov and D. O. Kaptsov},
journal= {arXiv preprint arXiv:1805.08401},
year = {2018}
}
Comments
in Russian