Whitham method for Benjamin-Ono-Burgers equation and dispersive shocks in internal waves in deep fluid
arXiv:nlin/0610039 · doi:10.1103/PhysRevE.75.016307
Abstract
The Whitham modulation equations for the parameters of a periodic solution are derived using the generalized Lagrangian approach for the case of damped Benjamin-Ono equation. The structure of the dispersive shock in internal wave in deep water is considered by this method.
arXiv comment8 pages, 4 figures
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Cited by in corpus (5)
- Dispersive shock waves and modulation theory
- Dispersive shock waves in the Kadomtsev-Petviashvili and Two Dimensional Benjamin-Ono equations
- Whitham modulation theory for the two-dimensional Benjamin-Ono equation
- Dispersive shock waves in systems with nonlocal dispersion of Benjamin-Ono type
- Long time behavior of solutions for a damped Benjamin-Ono equation