Classification of all travelling-wave solutions for some nonlinear dispersive equations

Forskningsoutput: TidskriftsbidragArtikel i vetenskaplig tidskrift

Abstract

We present a method for the classification of all weak travelling-wave solutions for some dispersive nonlinear wave equations. When applied to the Camassa-Holm or the Degasperis-Procesi equation, the approach shows the existence of not only smooth, peaked and cusped travelling-wave solutions, but also more exotic solutions with fractal-like wave profiles.

Detaljer

Författare
  • Jonatan Lenells
Enheter & grupper
Forskningsområden

Ämnesklassifikation (UKÄ) – OBLIGATORISK

  • Matematik

Nyckelord

Originalspråkengelska
Sidor (från-till)2291-2298
TidskriftRoyal Society of London. Philosophical Transactions A. Mathematical, Physical and Engineering Sciences
Volym365
Utgåva nummer1858
StatusPublished - 2007
PublikationskategoriForskning
Peer review utfördJa