Numerical bifurcation and stability for the capillary-gravity Whitham equation
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Publication:2247570
DOI10.1016/j.wavemoti.2021.102793OpenAlexW3128167967MaRDI QIDQ2247570
Efstathios G. Charalampidis, Vera Mikyoung Hur
Publication date: 17 November 2021
Published in: Wave Motion (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.01905
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- Remarks on the orbital stability of ground state solutions of fKdV and related equations
- Modulational instability in the Whitham equation with surface tension and vorticity
- Local and global aspects of the (1,\(n\)) mode interaction for capillary- gravity waves
- Numerical methods for bifurcation problems and large-scale dynamical systems. Based on two workshops held as part of the 1997--1998 IMA academic year on emerging applications of dynamical systems
- Shallow water models with constant vorticity
- The Whitham equation with surface tension
- Numerical bifurcation for the capillary Whitham equation
- Symmetry and the bifurcation of capillary-gravity waves
- The effects of surface tension on modulational instability in full-dispersion water-wave models
- Wave breaking in the Whitham equation
- Bifurcation analysis of stationary solutions of two-dimensional coupled Gross-Pitaevskii equations using deflated continuation
- On the bifurcation diagram of the capillary-gravity Whitham equation
- Numerical bifurcation and stability for the capillary-gravity Whitham equation
- On Whitham's conjecture of a highest cusped wave for a nonlocal dispersive equation
- The Whitham equation as a model for surface water waves
- Stability of Periodic Traveling Waves for Nonlinear Dispersive Equations
- Solving Ordinary Differential Equations I
- The bifurcation and secondary bifurcation of capillary-gravity waves
- Solving Nonlinear Equations with Newton's Method
- Modulational instability in the full-dispersion Camassa–Holm equation
- Modulational instability in a full‐dispersion shallow water model
- Modulational Instability in the Whitham Equation for Water Waves
- Fourth-Order Time-Stepping for Stiff PDEs
- Numerical Study of Nonlinear Dispersive Wave Models with SpecTraVVave
- On the local well-posedness for a full-dispersion Boussinesq system with surface tension
- Variational methods and applications to water waves
- Stability of traveling wave solutions to the Whitham equation
