Year: 2025
Type: article
Abstract: The purpose of this short note is to explain how the existing results on the validity of the NLS approximation can be extended from Sobolev spaces $$ H^s({\mathbb {R}}) $$ H s ( R ) to the spaces of functions $$ u = v + w $$ u = v + w where $$ v \in H_{{per}}^s $$ v ∈ H per s and $$ w \in H^s({\mathbb {R}}) $$ w ∈ H s ( R ) . This allows us to use the Peregrine solution of the NLS equation to find freak or rogue wave dynamics in more complicated systems.
Source: Water Waves
Authors: Guido Schneider, Nils Thorin
Institution: University of Stuttgart
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,490
OpenAlex ID: W4413876757