Sökning: "Krzysztof Marciniak"

Hittade 2 avhandlingar innehållade orden Krzysztof Marciniak.

1. 1. Soliton Methods in the Theory of Integrable Mechanical Systems

   Författare :Krzysztof Marciniak; Janno Hietarinta; Linköpings universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

   Sammanfattning : This dissertation is devoted to the study of integrable sets of mechanical equations with the use of soliton techniques. A Lax representation of the coupled Kortevegde Vries (cKdV) hierarchy with sow-ces is derived. LÄS MER

3. 2. Ghostpeakons

   Författare :Budor Shuaib; Hans Lundmark; Krzysztof Marciniak; Erik Wahlén; Linköpings universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

   Sammanfattning : In this thesis we study peakons (peaked solitons), a class of solutions which occur in certain wave equations, such as the Camassa–Holm shallow water equation and its mathematical relatives, the Degasperis–Procesi, Novikov and Geng– Xue equations. These four non-linear partial differential equations are all integrable systems in the sense of having Lax pairs, infinitely many conservation laws, and multipeakon solutions given by explicitly known formulas. LÄS MER