Samer Israwi, Henrik Kalisch
Published 2018-08-20Version 1
Consideration is given to the KdV equation as an approximate model for long waves of small amplitude at the free surface of an inviscid fluid. It is shown that there is an approximate momentum density associated to the KdV equation, and the difference between this density and the physical momentum density derived in the context of the full Euler equations can be estimated in terms of the long-wave parameter.
Dispersive and soliton perturbations of finite-genus solutions of the KdV equation: computational results
On classical solutions of the KdV equation
The Static Elliptic $N$-soliton Solutions of the KdV Equation
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