Course co-ordinator(s): Dr Anastasia Doikou (Edinburgh).
Aims:
The course aims at providing fundamental notions on the theory of solitons. Basic solitonic solutions of certain PDEs, such as the Korteweg-de Vries (KdV), non-linear Schrödinger and sine-Gordon equations are examined. The construction of one soliton and multi-soliton solutions is presented. The Lax pair formulation, the infinite conservation laws as well as the associated linear auxiliary problem are also discussed.
Detailed Information
Pre-requisites: none.
Location: Edinburgh.
Semester: 2.
SCQF Level: 11.
Credits: 15.