Phase modulated solitary waves controlled by bottom boundary condition
Pattern Formation and Solitons
2015-06-19 v1 Fluid Dynamics
Abstract
A forced KdV equation is derived to describe weakly nonlinear, shallow water surface wave propagation over non trivial bottom boundary condition. We show that different functional forms of bottom boundary conditions self-consistently produce different forced kdV equations as the evolution equations for the free surface. Solitary wave solutions have been analytically obtained where phase gets modulated controlled by bottom boundary condition whereas amplitude remains constant.
Cite
@article{arxiv.1404.2061,
title = {Phase modulated solitary waves controlled by bottom boundary condition},
author = {Abhik Mukherjee and M. S. Janaki},
journal= {arXiv preprint arXiv:1404.2061},
year = {2015}
}
Comments
13 pages, 6 figures, Accepted in Physical Review E