Existence of periodic travelling wave solutions for a regularized Benjamin-Ono system

DOI10.1016/j.jde.2015.08.030zbMath1329.35099OpenAlexW1269285242MaRDI QIDQ499547

Felipe Alexander Pipicano, Juan Carlos Muñoz Grajales

Publication date: 30 September 2015

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2015.08.030

zbMATH Keywords

pseudospectral methodsinternal wavesregularized BO equationtopological-degree theory

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Degree theory for nonlinear operators (47H11) Eigenvalue problems for linear operators (47A75) Soliton equations (35Q51) Multipliers in one variable harmonic analysis (42A45) Traveling wave solutions (35C07)

Related Items (5)

Exact controllability and stabilization for a general internal wave system of Benjamin-Ono type ⋮ Vector solitons of a coupled Schrödinger system with variable coefficients ⋮ Solitary waves for an internal wave model ⋮ Numerical generation of periodic traveling wave solutions of some nonlinear dispersive wave systems ⋮ On the existence of solitary waves for an internal system of the Benjamin-Ono type

Cites Work

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• Existence and computation of periodic travelling-wave solutions of a dispersive system
• The regularized Benjamin-Ono and BBM equations: well-posedness and nonlinear stability
• Solitary-wave solutions of nonlinear problems
• Decay of solutions of generalized Benjamin-Bona-Mahony equations
• Existence of periodic travelling-wave solutions of nonlinear, dispersive wave equations
• EXISTENCE AND NUMERICAL APPROXIMATION OF SOLUTIONS OF AN IMPROVED INTERNAL WAVE MODEL
• On the Interactions of Permanent Waves of Finite Amplitude
• Internal waves of permanent form in fluids of great depth

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