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Bifurcations of Unstable Eigenvalues for Stokes Waves Derived from Conserved Energy

https://doi.org/10.2139/ssrn.5177752
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Outgoing claims: the papers this work cites, builds on, or argues with.

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Proof of Modulational Instability of Stokes Waves in Deep Water
inferredcites →https://doi.org/10.1007/bf00913182openalex-snapshot
Stability of periodic waves of finite amplitude on the surface of a deep fluid
inferredcites →https://doi.org/10.1007/bf02392728openalex-snapshot
On the stokes conjecture for the wave of extreme form
inferredcites →https://doi.org/10.1007/s00205-023-01916-2openalex-snapshot
Benjamin–Feir Instability of Stokes Waves in Finite Depth
inferredcites →https://doi.org/10.1007/s00222-022-01130-zopenalex-snapshot
Full description of Benjamin-Feir instability of stokes waves in deep water
inferredcites →https://doi.org/10.1016/0375-9601(96)00417-3openalex-snapshot
Analytical description of the free surface dynamics of an ideal fluid (canonical formalism and conformal mapping)
inferredcites →https://doi.org/10.1016/j.aml.2024.109359openalex-snapshot
Peaked Stokes waves as solutions of Babenko’s equation
inferredcites →https://doi.org/10.1016/j.jcp.2006.03.020openalex-snapshot
Computing spectra of linear operators using the Floquet–Fourier–Hill method
inferredcites →https://doi.org/10.1016/j.jcp.2023.112411openalex-snapshot
Quasiperiodic perturbations of Stokes waves: Secondary bifurcations and stability
inferredcites →https://doi.org/10.1017/jfm.2019.1021openalex-snapshot
Stability analysis of deep-water waves on a linear shear current using unsteady conformal mapping
inferredcites →https://doi.org/10.1017/jfm.2022.1031openalex-snapshot
A high-order asymptotic analysis of the Benjamin–Feir instability spectrum in arbitrary depth
inferredcites →https://doi.org/10.1017/jfm.2022.1047openalex-snapshot
Almost extreme waves
inferredcites →https://doi.org/10.1017/jfm.2024.626openalex-snapshot
Self-similarity and recurrence in stability spectra of near-extreme Stokes waves
inferredcites →https://doi.org/10.1017/s0022112011000073openalex-snapshot
The instability of periodic surface gravity waves
inferredcites →https://doi.org/10.1017/s002211206700045xopenalex-snapshot
The disintegration of wave trains on deep water Part 1. Theory
inferredcites →https://doi.org/10.1017/s0022112082003292openalex-snapshot
Hamiltonian structure, symmetries and conservation laws for water waves
inferredcites →https://doi.org/10.1017/s0022112085002099openalex-snapshot
The stability of steep gravity waves. Part 2
inferredcites →https://doi.org/10.1017/s0022112085003159openalex-snapshot
The superharmonic instability of finite-amplitude water waves
inferredcites →https://doi.org/10.1017/s0022112096004028openalex-snapshot
On the crest instabilities of steep surface waves
inferredcites →https://doi.org/10.1073/pnas.2308935120openalex-snapshot
The dominant instability of near-extreme Stokes waves
inferredcites →https://doi.org/10.1098/rspa.1978.0178openalex-snapshot
On the existence of a wave of greatest height and Stokes’s conjecture
inferredcites →https://doi.org/10.1098/rspa.1991.0134openalex-snapshot
Singularities in water waves and Rayleigh–Taylor instability
inferredcites →https://doi.org/10.1111/1467-9590.01408openalex-snapshot
A Proof of the Stokes Conjecture in the Theory of Surface Waves*
inferredcites →https://doi.org/10.1111/sapm.12535openalex-snapshot
Superharmonic instability of stokes waves
inferredcites →https://doi.org/10.1111/sapm.12554openalex-snapshot
Canonical conformal variables based method for stability of Stokes waves
inferredcites →https://doi.org/10.1137/080738325openalex-snapshot
Conformal Maps to Multiply Slit Domains and Applications
inferredcites →https://doi.org/10.1137/090761215openalex-snapshot
On Explicit Recursive Formulas in the Spectral Perturbation Analysis of a Jordan Block
inferredcites →https://doi.org/10.1137/21m1393376openalex-snapshot
High-Frequency Instabilities of the Kawahara Equation: A Perturbative Approach
inferredcites →https://doi.org/10.1143/jpsj.52.3047openalex-snapshot
The Stability of Steep Gravity Waves
inferredcites →https://doi.org/10.1145/1236463.1236468openalex-snapshot
MPFR
inferredcites →https://doi.org/10.3390/fluids6040136openalex-snapshot
High-Frequency Instabilities of a Boussinesq–Whitham System: A Perturbative Approach
inferredcites →https://doi.org/10.48550/arxiv.2406.06722openalex-snapshot
On smooth and peaked traveling waves in a local model for shallow water waves
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