On solitary-wave solutions of Boussinesq/Boussinesq systems for internal waves
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Publication:2077810
DOI10.1016/j.physd.2021.133051OpenAlexW3202157436MaRDI QIDQ2077810
A. Durán, Leetha Saridaki, Vassilios A. Dougalis
Publication date: 22 February 2022
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.07992
PDEs in connection with fluid mechanics (35Q35) Solitary waves for incompressible inviscid fluids (76B25) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Finite difference and finite volume methods for ordinary differential equations (65L12) Soliton solutions (35C08) Methods of ordinary differential equations applied to PDEs (35A24)
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Cites Work
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- New long time existence results for a class of Boussinesq-type systems
- The Cauchy problem on large time for surface waves Boussinesq systems
- Numerical solution of the `classical' Boussinesq system
- Perturbed homoclinic solutions in reversible 1:1 resonance vector fields
- Local bifurcations, center manifolds, and normal forms in infinite-dimensional dynamical systems
- The concentration-compactness principle in the calculus of variations. The locally compact case. I
- Numerical solution of KdV-KdV systems of Boussinesq equations. I: The numerical scheme and generalized solitary waves
- Asymptotic models for internal waves
- A Boussinesq system for two-way propagation of interfacial waves
- Numerical solution of Boussinesq systems of the Bona-Smith family
- Homoclinic orbits in reversible systems and their applications in mechanics, fluids and optics
- On the Boussinesq/full dispersion systems and Boussinesq/Boussinesq systems for internal waves
- Bifurcation of systems with homoclinic curve of a saddle-focus with saddle quantity zero
- An easily implementable fourth-order method for the time integration of wave problems
- Homoclinic orbits in Hamiltonian systems
- Exact traveling-wave solutions to bidirectional wave equations
- Oscillatory integrals and phenomena beyond all algebraic orders with applications to homoclinic orbits in reversible systems
- Solitary waves in nonlinear dispersive systems
- Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. I: Derivation and linear theory
- Petviashvili type methods for traveling wave computations. II: Acceleration with vector extrapolation methods
- Numerical approximation of solitary waves of the Benjamin equation
- The scattering problem for Hamiltonian ABCD Boussinesq systems in the energy space
- On a nonlocal Boussinesq system for internal wave propagation
- Existence and symmetry of ground states to the Boussinesq \textit{abcd} systems
- A numerical study of the stability of solitary waves of the Bona-Smith family of Boussinesq systems
- Solitary-wave and multi-pulsed traveling-wave solutions of boussinesq systems
- Boussinesq/Boussinesq systems for internal waves with a free surface, and the KdV approximation
- Bifurcation of a plethora of multi-modal homoclinic orbits for autonomous Hamiltonian systems
- Solitary-wave solutions of nonlinear problems
- Water waves for small surface tension: an approach via normal form
- Convective Linear Stability of Solitary Waves for Boussinesq Equations
- Vector Extrapolation Methods with Applications
- Convergence of Petviashvili's Iteration Method for Numerical Approximation of Stationary Solutions of Nonlinear Wave Equations
- Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media: II. The nonlinear theory
- Existence of solitary wave solutions for internal waves in two-layer systems
- Asymptotic dynamics for the small data weakly dispersive one-dimensional Hamiltonian ABCD system
- The Cauchy Problem on Large Time for Surface-Waves-Type Boussinesq Systems II
