**FSI3150 Integrabla icke-linjära system och solitoner, 7,5 högskolepoäng (hp)(Integrable Non-Linear Systems and Solitons)**

__Kursinnehåll:__

Soliton equations: what are they, where do they arise. What is special about these equations: Symmetries, conservations laws, Lax pairs. KdV equation: physical background, applications, how to solve it. Inverse scattering method. Other soliton equations. Hirota's method.

__Kursmål:__

__Kurslitteratur:__

**Compendium by Edwin Langmann.****P. G. Drazin & R. S. Johnson: Solitons: an introduction, Cambridge Texts in Applied Mathematics, 1989.**

__Examination och kurskrav:__

Home work and oral examination.

**Betyg:** P, F

**Examinator:** Edwin Langmann, professor

Senast uppdaterad: 2008-12-01

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