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math-ph2018★ 16 cited
Approximate Conservation Laws in the KdV Equation
Samer Israwi, Henrik Kalisch
The Korteweg-de Vries equation is known to yield a valid description of surface waves for waves of small amplitude and large wavelength. The equation features a number of conserved…
math-ph2018
A Mathematical Justification of the Momentum Density Function Associated to the KdV Equation
Samer Israwi, Henrik Kalisch
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 approxim…