Classification of all travelling-wave solutions for some nonlinear dispersive equations
Forskningsoutput: Tidskriftsbidrag › Artikel 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 | |
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Enheter & grupper | |
Forskningsområden | Ämnesklassifikation (UKÄ) – OBLIGATORISK
Nyckelord |
Originalspråk | engelska |
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Sidor (från-till) | 2291-2298 |
Tidskrift | Royal Society of London. Philosophical Transactions A. Mathematical, Physical and Engineering Sciences |
Volym | 365 |
Utgåva nummer | 1858 |
Status | Published - 2007 |
Publikationskategori | Forskning |
Peer review utförd | Ja |