Temas Selectos de Álgebra (Maestría)
Solitones: Ecuaciones diferenciales, simetrías y Álgebras
Semestre 2022/1 Grupo 67922 Clave 88-4207
Titular: Christof Geiss - Cubiculo 212 en el
Instituto de Matemáticas, UNAM
Curso: Lunes 14:00-16:00, Miércoles 10:00h-12:00h (Zoom);
Ejercicios: Viernes 10:00h-12:00h (Zoom)
Apuntes del curso
Referencias:
- Sato, Mikio; Sato, Yasuko:
Soliton equations as dynamical systems on infinite-dimensional
Grassmann manifold.
Nonlinear partial differential equations in
applied science (Tokyo, 1982), 259-271,
North-Holland Math. Stud., 81, Lecture Notes Numer. Appl. Anal., 5,
North-Holland, Amsterdam, 1983.
-
Kasman, Alex:
Glimpses of soliton theory. The algebra and geometry of nonlinear PDEs.
Student Mathematical Library, 54.
American Mathematical Society, Providence, RI, 2010. xvi+304 pp.
- V.G. Kac: Infinite-dimensional Lie algebras. Third edition. Cambridge University Press, Cambridge, 1990. xxii+400 pp. Chapter 14.
- V.G. Kac: Vertex algebras for beginners. Second edition. University Lecture Series, 10. American Mathematical Society, Providence, RI, 1998.
- P. Tingley: Notes on Fock space
- Hirota R., The direct method in soliton theory (Cambridge University Press, 2004) Translated from the 1992 Japanese original
- Wikipedia: tau-function (integrable systems)
-
G. Biondini, D. Peleinovsky: Kadomtsev-Petviashvili equation
Scholarpedia entry
-
P. Deift, C. Tomei, E. Trubowitz:
Inverse scattering and the Boussinesq equation
Comm. Pure Appl. Math. 35 (1982), no. 5, 567–628.
- Ablowitz M.J. and Clarkson P.A., Solitons, Nonlinear Evolution Equations and Inverse Scattering (Cambridge University Press, 1991)
-
Govind S. Krishnaswami, T. R. Vishnu:
An introduction to Lax pairs and the zero curvature representation
arXiv:2004.05791v1, 21pp
-
Lectures by Christopher Ormerod
-
T. Miwa, M. Jimbo, E. Date: Solitons: Differential Equations, Symmetries, and Infinite Dimensional Algebras, Cambridge Tracts in Mathematices 135 (2000)
Ultima actualización: 22.11.2021