• The general peakon-antipeakon solution for the Camassa-Holm equation 

      Grunert, Katrin; Holden, Helge (Journal article; Peer reviewed, 2016)
      We compute explicitly the peakon-antipeakon solution of the Camassa– Holm equation ut − utxx + 3uux − 2uxuxx − uuxxx = 0 in the non-symmetric and α-dissipative case. The solution experiences wave breaking in finite time, ...
    • Traveling Wave Solutions for the Hunter-Saxton Equation 

      Christiansen, Thomas (Master thesis, 2021)
      I denne oppgaven studerer vi vandrende bølgeløsninger for Hunter-Saxton likningen. Vi benytter en lime-formalisme som lar oss lime sammen to klassiske vandrende løsninger langs en kurve. Dette lar oss konstruere svake ...
    • Traveling waves for the nonlinear variational wave equation 

      Grunert, Katrin; Reigstad, Audun (Peer reviewed; Journal article, 2021)
      We study traveling wave solutions of the nonlinear variational wave equation. In particular, we show how to obtain global, bounded, weak traveling wave solutions from local, classical ones. The resulting waves consist of ...