Almost everything you always wanted to know about the Toda equation

Almost everything you always wanted to know about the Toda equation The present article reviews methods from spectral theory and algebraicgeometry for nding explicit solutions of the Toda equation, namely for the N-soliton solution and quasi-periodic solutions. Along they way basic concepts like Lax pairs, associated hierarchies, and Blacklund transformations for the Toda equation are introduced.

Authors: Teschl G.Pages: 17     Year: 2001

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