Browsing Department of Mathematics by Subject "KdV equation"
Now showing items 1-2 of 2
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On the Formulation of Mass, Momentum and Energy Conservation in the KdV Equation
(Peer reviewed; Journal article, 2014-10)The Korteweg-de Vries (KdV) equation is widely recognized as a simple model for unidirectional weakly nonlinear dispersive waves on the surface of a shallow body of fluid. While solutions of the KdV equation describe the ... -
On the shoaling of solitary waves in the KdV equation
(Journal article; Peer reviewed, 2014)The waveheight change in surface waves with a sufficiently slow variation in depth is examined. Using a new formulation of the energy flux associated to waves modeled by the Korteweg-de Vries equation, a system of three ...