Phase modulated domain walls and dark solitons for surface gravity waves
Pattern Formation and Solitons
2021-03-02 v1
Abstract
We report theoretical prediction of exact localized solutions for dynamics of surface gravity waves, at the critical point kh=1.363, modelled by higher-order nonlinear Schrodinger equation. The model possess domain walls (kink solitons) and dark solitons modulated through different phase profiles. The parametric domains are delineated for the existence of soliton solutions. The effect of wave parameters have been discussed on the amplitude of surface gravity waves. Our work is motivated by Tsitoura et al. [1], on experimental and analytical observation of phase domain walls for deep water surface gravity waves modelled by nonlinear Schrodinger equation.
Cite
@article{arxiv.2103.00204,
title = {Phase modulated domain walls and dark solitons for surface gravity waves},
author = {Harneet Kaur and Shailza Pathania and Amit Goyal and C. N. Kumar and Daniela Milovic},
journal= {arXiv preprint arXiv:2103.00204},
year = {2021}
}