Exact two-dimensional multi-hump waves on water of finite depth with small surface tension
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Publication:2303869
DOI10.1007/s00205-019-01474-6zbMath1431.76035OpenAlexW2990283607WikidataQ126804811 ScholiaQ126804811MaRDI QIDQ2303869
Publication date: 6 March 2020
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00205-019-01474-6
PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25)
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Cites Work
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- Multi-hump solutions of some singularly-perturbed equations of KdV type
- Perturbed homoclinic solutions in reversible 1:1 resonance vector fields
- A theory of solitary water-waves in the presence of surface tension
- On the existence of small amplitude solitary waves with strong 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 generalized solitary wave solution for water with positive Bond number less than 1/3
- Capillary-gravity solitary waves with damped oscillations
- Exponentially small estimate for the amplitude of capillary ripples of a generalized solitary wave
- Normally elliptic singular perturbations and persistence of homoclinic orbits
- Existence theory of capillary-gravity waves on water of finite depth
- A spatial dynamics approach to three-dimensional gravity-capillary steady water waves
- A plethora of generalised solitary gravity–capillary water waves
- Multi-hump solutions with small oscillations at infinity for stationary Swift–Hohenberg equation
- Solitary and periodic gravity—capillary waves of finite amplitude
- Exact solitary water waves with capillary ripples at infinity
- Method for Solving the Korteweg-deVries Equation
- Spatial Dynamics Methods for Solitary Gravity-Capillary Water Waves with an Arbitrary Distribution of Vorticity
- Zentrumsmannigfaltigkeiten bei elliptischen Differentialgleichungen
- Reduction of quasilinear elliptic equations in cylindrical domains with applications
- Symmetry of solitary waves
- 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
- The existence of solitary water waves
- Non–existence of truly solitary waves in water with small surface tension
- Orbits homoclinic to centre manifolds of conservative PDEs
- Multibump solutions homoclinic to periodic orbits of large energy in a centre manifold
- The existence of solitary waves
