Algebro-geometric approach to nonlinear integrable equations
E. D. Belokolos ... [et al.].
Berlin : Springer-Verlag, ©1994.
xii, 337 págs. : ilustraciones ; 24 cm.
Serie: Springer series in nonlinear dynamics
ISBN: 3540502653 (Berlin), 0387502653 (New York)
Incluye referencias bibliográficas (p. [329]-337).
Contenido
- 1. Introduction
- 2. Riemann surfaces and theta functions
- 3. Finite-gap solutions of the Kadomtsev-Petviashvili and the Korteveg-de Vries equations
- 4. Vector valued Baker-Akhiezer functions and finite-gap solutions of the nonlinear Schrödinger and sine-Gordon equations
- 5. Uniformization of Riemann surfaces and effectivization of theta function formulas
- 6. Theta function formulas for classical tops
- 7. Algebro-geometric principles of superposition of finite-gap solutions of integrable nonlinear equations
- 8. An application: the Peierls-Fröhlich problem and finite-gap potentials.
