Phase modulated domain walls and dark solitons for surface gravity waves

TL;DR

This paper predicts exact localized solutions, including domain walls and dark solitons, for surface gravity waves at a critical wave number, using a higher-order nonlinear Schrödinger equation, expanding understanding of wave phase modulation.

Contribution

It introduces new exact localized solutions for surface gravity waves involving phase-modulated domain walls and dark solitons at a critical wave number.

Findings

Existence domains for soliton solutions are mapped.

Wave parameters influence the amplitude of surface gravity waves.

Theoretical predictions extend previous experimental and analytical work.

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.