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Generalized KdV-type equations versus Boussinesq’s equations for uneven bottom – numerical study
The paper’s main goal is to compare the motion of solitary surface waves resulting from two similar but slightly different approaches. In the first approach, the numerical evolution of soliton surface waves moving over the uneven bottom is obtained using single wave equations. In the second app ...
The New Extended KdV Equation for the Case of an Uneven Bottom
The consistent derivation of the extended KdV equation for an uneven bottom for the case of α = O(β) andδ = O(β2) is presented. This is the only one case when second order KdV type nonlinear wave equation can be d ...