On the formulation of energy conservation in the eeKdV equation

Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite difference methods applied to problems in fluid mechanics (76M20) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45)

Cites Work

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Wave breaking in Boussinesq models for undular bores
Energy balance for undular bores
Mechanical balance laws for Boussinesq models of surface water waves
A boundary value problem for the KdV equation: comparison of finite-difference and Chebyshev methods
Computations of blow-up and decay for periodic solutions of the generalized Korteweg-de Vries-Burgers equation
On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves.
Theory of waves and eddies propagating along a horizontal rectangular channel, communicating to the liquid in the channel approximately the same velocities from surface to bottom.
Convective wave breaking in the KdV equation
Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. I: Derivation and linear theory
A dispersive model for undular bores
Wave breaking in undular bores with shear flows
Solitary wave collisions for the Whitham equation
On the formulation of mass, momentum and energy conservation in the KdV equation
The Whitham equation as a model for surface water waves
Long wave approximations for water waves
A mathematical justification of the momentum density function associated to the KdV equation
The long-wave limit for the water wave problem I. The case of zero surface tension
An existence theory for water waves and the boussinesq and korteweg-devries scaling limits
The initial-value problem for the Korteweg-de Vries equation
A Nonhomogeneous Boundary-Value Problem for the Korteweg–de Vries Equation Posed on a Finite Domain
On cnoidal waves and bores
Statistical properties of extreme soliton collisions

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