Asymptotic Methods for Weakly Nonlinear and Other Water Waves
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Publication:2956399
DOI10.1007/978-3-319-31462-4_3zbMath1354.76025OpenAlexW2493005251MaRDI QIDQ2956399
Publication date: 17 January 2017
Published in: Lecture Notes in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-31462-4_3
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Solitary waves for incompressible inviscid fluids (76B25)
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The Camassa-Holm approximation to the double dispersion equation for arbitrarily long times ⋮ KdV equation model in open cylindrical channel under precession
Cites Work
- Analyticity of periodic traveling free surface water waves with vorticity
- A geometric approach to generalized Stokes conjectures
- Periodic waves over constant vorticity: some asymptotic results generated by parameter expansions
- The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
- Large-amplitude steady rotational water waves
- Steady water waves with a critical layer
- On the existence of extreme waves and the Stokes conjecture with vorticity
- A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
- Multiple scale and singular perturbation methods
- A selection of nonlinear problems in water waves, analysed by perturbation-parameter techniques
- Linear water waves with vorticity: Rotational features and particle paths
- On the scattering problem for the Camassa-Holm equation
- Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
- Ring waves on the surface of shear flows: a linear and nonlinear theory
- Effect of vorticity on steady water waves
- Reflections from solitary waves in channels of decreasing depth
- On the nonlinear critical layer below a nonlinear unsteady surface wave
- A search for bilinear equations passing Hirota’s three-soliton condition. I. KdV-type bilinear equations
- Shelves and the Korteweg-de Vries equation
- On the mass, momentum, energy and circulation of a solitary wave
- On the mass, momentum, energy and circulation of a solitary wave. II
- On the evolution of packets of long surface waves
- Integral properties of periodic gravity waves of finite amplitude
- On the modulation of water waves on shear flows
- The deformation of steep surface waves on water - I. A numerical method of computation
- Obliquely interacting solitary waves
- On the soliton solutions of the Davey-Stewartson equation for long waves
- On the Korteweg—de Vries equation for a gradually varying channel
- A Two-dimensional Boussinesq equation for water waves and some of its solutions
- A Modern Introduction to the Mathematical Theory of Water Waves
- The Camassa–Holm equation for water waves moving over a shear flow
- Exact steady periodic water waves with vorticity
- Microstructure evolution in an interstitial-free steel during cold rolling at low strain levels
- An integrable shallow water equation with peaked solitons
- Method for Solving the Korteweg-deVries Equation
- Camassa–Holm, Korteweg–de Vries and related models for water waves
- Edge waves along a sloping beach
- Some contributions to the theory of edge waves
- On three-dimensional packets of surface waves
- Rotational steady water waves near stagnation
- Edge waves: theories past and present
- The Classical Problem of Water Waves: a Reservoir of Integrable and Nearly-Integrable Equations
- On the Non-Dimensionalisation, Scaling and Resulting Interpretation of the Classical Governing Equations for Water Waves
- Water Waves near a Shoreline in a Flow with Vorticity: Two Classical Examples
- Propagation of very long water waves, with vorticity, over variable depth, with applications to tsunamis
- A New Class of Nonlinear Waves in Parallel Flows
- Shallow water waves on shear flows
- Solitary wave, soliton and shelf evolution over variable depth
- The solitary wave on a stream with an arbitrary distribution of vorticity
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