A note on dark solitons in Nonlinear Complex Ginzburg-Landau equations

We analyze the existence of dark solitons in nonlinear complex Ginzburg-Landau equations. We prove existence results concerned with the initialvalue problem for these equations in Zhidkov spaces using a new approach withsplitting methods.

Detalhes bibliográficos
Autor: Besteiro, Agustin Tomas
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2020
País:Argentina
Recursos:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositório:CONICET Digital (CONICET)
Idioma:inglês
OAI Identifier:oai:ri.conicet.gov.ar:11336/156037
Acesso em linha:http://hdl.handle.net/11336/156037
Access Level:Acceso aberto
Palavra-chave:GINZBURG-LANDAU EQUATION
SPLITTING METHODS
WELL-POSEDNESS
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
Descrição
Resumo:We analyze the existence of dark solitons in nonlinear complex Ginzburg-Landau equations. We prove existence results concerned with the initialvalue problem for these equations in Zhidkov spaces using a new approach withsplitting methods.