On the existence and computation of periodic travelling waves for a 2D water wave model
DOI10.3934/CPAA.2018030zbMath1387.35093OpenAlexW2768997075MaRDI QIDQ1691301
Juan Carlos Muñoz Grajales, José Rául Quintero
Publication date: 15 January 2018
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/cpaa.2018030
Periodic solutions to PDEs (35B10) Variational methods applied to PDEs (35A15) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Traveling wave solutions (35C07) Soliton solutions (35C08) Methods of ordinary differential equations applied to PDEs (35A24)
Cites Work
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- From periodic travelling waves to solitons of a 2D water wave system
- On the Korteweg-de Vries equation
- The Cauchy problem and stability of solitary waves for a 2D Boussinesq-KdV type system.
- Introduction to Hamiltonian dynamical systems and the \(N\)-body problem.
- Application of a fractional-step method to incompressible Navier-Stokes equations
- Parallelism in spectral methods
- High-order splitting methods for the incompressible Navier-Stokes equations
- A rigorous link between KP and a Benney-Luke equation.
- Two-dimensional solitary waves for a Benney-Luke equation
- An implicit-explicit approach for atmospheric transport-chemistry problems
- Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
- Three‐Dimensional Water Waves
- A water wave mixed type problem: existence of periodic travelling waves for a 2D Boussinesq system
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