TY - BOOK AU - Bulla,W. TI - Algebro-geometric quasi-periodic finite-gap solutions of the Toda and Kac-van Moerbeke hierarchies T2 - Memoirs of the American Mathematical Society, SN - 9781470402303 (online) AV - QA3QC20.7.E88 .A57 no. 641 U1 - 510 s515/.353 21 PY - 1998/// CY - Providence, R.I. PB - American Mathematical Society KW - Evolution equations, Nonlinear KW - Numerical solutions KW - Geometry, Algebraic KW - Mathematical physics N1 - "September 1998, volume 135, number 641 (first of 5 numbers)."; Includes bibliographical references (p. 76-79); 1. Introduction; 2. The Toda hierarchy, recursion relations, and hyperelliptic curves; 3. The stationary Baker-Akhiezer function; 4. Spectral theory for finite-gap Jacobi operators; 5. Quasi-periodic finite-gap solutions of the stationary Toda hierarchy; 6. Quasi-periodic finite-gap solutions of the Toda hierarchy and the time-dependent Baker-Akhiezer function; 7. The Kac-van Moerbeke hierarchy and its relation to the Toda hierarchy; 8. Spectral theory for finite-gap Dirac-type difference operators; 9. Quasi-periodic finite-gap solutions of the Kac-van Moerbeke hierarchy; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012 UR - http://www.ams.org/memo/0641 UR - http://dx.doi.org/10.1090/memo/0641 ER -