Modulational instability in the Ostrovsky equation and related models

Cites Work

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Traveling waves for the Whitham equation.
Modulational instability in the Whitham equation with surface tension and vorticity
A numerical study of the Whitham equation as a model for steady surface water waves
On the spectra of periodic waves for infinite-dimensional Hamiltonian systems
The modulational instability for a generalized Korteweg-de Vries equation
KdV cnoidal waves are spectrally stable
On the existence of stationary solitary waves in a rotating fluid
Existence of a highest wave in a fully dispersive two-way shallow water model
Stability of solitary waves and weak rotation limit for the Ostrovsky equation
Wave breaking in the Whitham equation
High-frequency instabilities of the Ostrovsky equation
Bidirectional Whitham equations as models of waves on shallow water
On the bifurcation diagram of the capillary-gravity Whitham equation
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The Whitham equation as a model for surface water waves
Spectral stability of periodic waves in the generalized reduced Ostrovsky equation
Stability and weak rotation limit of solitary waves of the Ostrovsky equation
Orbital stability of periodic waves in the class of reduced Ostrovsky equations
Stability of Small Periodic Waves in Fractional KdV-Type Equations
Periodic Traveling Waves of the Regularized Short Pulse and Ostrovsky Equations: Existence and Stability
Transverse Spectral Stability of Small Periodic Traveling Waves for the KP Equation
An index theorem for the stability of periodic travelling waves of Korteweg–de Vries type
Long-time Solutions of the Ostrovsky Equation
Rigorous Justification of the Whitham Modulation Equations for the Generalized Korteweg-de Vries Equation
On two-dimensional packets of capillary-gravity waves
Modulational stability of weakly nonlinear wave-trains in media with small- and large-scale dispersions
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High-frequency soliton-like waves in a relaxing medium
Approximate Analytical and Numerical Solutions of the Stationary Ostrovsky Equation
On the ground states of the Ostrovskyi equation and their stability
Generalized solitary waves in the gravity‐capillary Whitham equation
Modulational Instability in the Whitham Equation for Water Waves
Modulational Instability of Viscous Fluid Conduit Periodic Waves
Formation of wave packets in the Ostrovsky equation for both normal and anomalous dispersion
Global Bifurcation for the Whitham Equation
Stability of traveling wave solutions to the Whitham equation
Solitary waves in a Whitham equation with small surface tension
Instability of Near-Extreme Solutions to the Whitham Equation

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