KdV, extended KdV, 5th-order KdV, and Gardner equations generalized for uneven bottom versus corresponding Boussinesq's equations
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Publication:6603844
DOI10.1007/978-3-030-81170-9_39zbMATH Open1545.35163MaRDI QIDQ6603844
Publication date: 12 September 2024
KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)
Cites Work
- Existence of perturbed solitary wave solutions to a model equation for water waves
- Solitary wave transformation in a medium with sign-variable quadratic nonlinearity and cubic nonlinearity
- Stationary solitons of the fifth order KdV-type. Equations and their stabilization.
- Can simple KdV-type equations be derived for shallow water problem with bottom bathymetry?
- Adiabatic invariants of the extended KdV equation
- The extended Korteweg-de Vries equation and the resonant flow of a fluid over topography
- Gravity Waves in a Channel with a Rough Bottom
- Beyond the KdV: Post-explosion development
- Ordering of two small parameters in the shallow water wave problem
- Investigation of Coriolis effect on oceanic flows and its bifurcation via geophysical Korteweg–de Vries equation
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