Almost Everything You Always Wanted to Know About the Toda Equation

نویسنده

  • Gerald Teschl
چکیده

The present article reviews methods from spectral theory and algebraic geometry for finding 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 Bäcklund transformations for the Toda equation are introduced.

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تاریخ انتشار 2001