Solitary waves in a Whitham equation with small surface tension
From MaRDI portal
Publication:6085678
DOI10.1111/sapm.12459arXiv2103.02675OpenAlexW3204921313MaRDI QIDQ6085678
Miles H. Wheeler, Mathew A. Johnson, Tien Truong
Publication date: 12 December 2023
Published in: Studies in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.02675
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence of solitary-wave solutions to nonlocal equations
- Symmetry and decay of traveling wave solutions to the Whitham equation
- Traveling waves for the Whitham equation.
- Perturbed homoclinic solutions in reversible 1:1 resonance vector fields
- Local bifurcations, center manifolds, and normal forms in infinite-dimensional dynamical systems
- Modulational instability in the Whitham equation with surface tension and vorticity
- A theory of solitary water-waves in the presence of surface tension
- A multiplicity result for solitary gravity-capillary waves in deep water via critical-point theory
- Orbits homoclinic to exponentially small periodic orbits for a class of reversible systems. Application to water waves
- Existence of a highest wave in a fully dispersive two-way shallow water model
- Wave breaking in the Whitham equation
- Global bifurcation of solitary waves for the Whitham equation
- On the bifurcation diagram of the capillary-gravity Whitham equation
- Existence of a generalized solitary wave solution for water with positive Bond number less than 1/3
- On Whitham's conjecture of a highest cusped wave for a nonlocal dispersive equation
- Capillary-gravity solitary waves with damped oscillations
- Exponentially small estimate for the amplitude of capillary ripples of a generalized solitary wave
- Pseudodifferential operators on \(R^ n\) with bounded symbols
- On the existence and stability of solitary-wave solutions to a class of evolution equations of Whitham type
- Exact solitary water waves with capillary ripples at infinity
- Nonlinearly Resonant Surface Waves and Homoclinic Bifurcation
- A plethora of solitary gravity-capillary water waves with nearly critical Bond and Froude numbers
- Water waves for small surface tension: an approach via normal form
- A Modern Introduction to the Mathematical Theory of Water Waves
- SPATIAL HAMILTONIAN IDENTITIES FOR NONLOCALLY COUPLED SYSTEMS
- Center manifolds without a phase space
- Generalized solitary waves in the gravity‐capillary Whitham equation
- Modulational Instability in the Whitham Equation for Water Waves
- Variational Methods and Applications to Water Waves
This page was built for publication: Solitary waves in a Whitham equation with small surface tension
