Phase modulated domain walls and dark solitons for surface gravity waves

We report theoretical prediction of localized solutions for dynamics of surface gravity waves, at the critical point kh approximate to 1.363, modelled by higher-order nonlinear Schrodinger equation. The model possesses domain walls (kink solitons) and dark solitons modulated through different phase profiles. The parametric domains are delineated for the existence of soliton solutions. The effects 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. (C) 2021 Elsevier B.V. All rights reserved.

Automated summary

This study presents theoretical predictions on localized solutions for the dynamics of surface gravity waves using a higher-order nonlinear Schrodinger equation model. The model exhibits domain walls and dark solitons modulated by different phase profiles. Parametric domains are identified for the existence of soliton solutions, and the effects of wave parameters on the amplitude of surface gravity waves are discussed.