On the Cauchy problem and solitons for a class of 1D Boussinesq systems

DOI10.1007/S12591-015-0264-8zbMath1356.35099OpenAlexW2293333321MaRDI QIDQ505014

Alex M. Montes, José Rául Quintero

Publication date: 18 January 2017

Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12591-015-0264-8

zbMATH Keywords

solitary waveswell-posednessvariational methodslong water waves with small amplitude

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Soliton solutions (35C08) Initial value problems for systems of nonlinear higher-order PDEs (35G55)

Related Items (1)

Local well-posedness for a class of 1D Boussinesq systems

Cites Work

• Unnamed Item
• Instability of periodic travelling waves with mean zero for a 1D Boussinesq system
• On the Korteweg-de Vries equation
• The Cauchy problem and stability of solitary waves for a 2D Boussinesq-KdV type system.
• Existence and orbital stability of cnoidal waves for a 1D Boussinesq equation
• Sharp well-posedness results for the BBM equation
• Nonlinear stability of a one-dimensional Boussinesq equation
• Minimax theorems
• Dual variational methods in critical point theory and applications
• Existence, physical sense and analyticity of solitons for a 2D Boussinesq-Benney-Luke system
• Solitons and periodic travelling waves for the 2D-generalized Benney–Luke equation

This page was built for publication: On the Cauchy problem and solitons for a class of 1D Boussinesq systems