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nlin.SI2024★ 7 cited
Higher-order integrable models for oceanic internal wave-current interactions
David Henry, Rossen I. Ivanov, Zisis N. Sakellaris
In this paper we derive a higher-order KdV equation (HKdV) as a model to describe the unidirectional propagation of waves on an internal interface separating two fluid layers of va…
nlin.SI2024★ 2 cited
Hamiltonian models for the propagation of long gravity waves, higher-order KdV-type equations and integrability
Rossen I. Ivanov
A single incompressible, inviscid, irrotational fluid medium bounded above by a free surface is considered. The Hamiltonian of the system is expressed in terms of the so-called Dir…