• On the Formulation of Mass, Momentum and Energy Conservation in the KdV Equation 

      Ali, Alfatih Mohammed A.; Kalisch, Henrik (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 

      Khorsand, Zahra; Kalisch, Henrik (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 ...