Symmetries and integrability of difference equations /

There has in recent years been a remarkable growth of interest in the area of discrete integrable systems. Much progress has been made by applying symmetry groups to the study of differential equations, and connections have been made to other topics such as numerical methods, cellular automata and m...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Clarkson, Peter A., 1957-, Nijhoff, Frank W.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge ; New York : Cambridge University Press, 1999.
Colección:London Mathematical Society lecture note series ; 255.
Temas:
Difference equations > Congresses.
Hypergeometric functions > Congresses.
Symmetry (Physics) > Congresses.
Symmetry groups > Congresses.
Equation aux différences Gambier.
Transformation Bäcklund discrète.
Application symplectique intégrale.
Equation Korteweg-de Vries (KdV)
Equation chaleur discrète.
Equation Painlevé discrète.
Système dynamique discret.
Équations aux différences > Congrès.
Fonctions hypergéométriques > Congrès.
Symétrie (Physique) > Congrès.
Groupes symétriques > Congrès.
MATHEMATICS > Calculus.
MATHEMATICS > Mathematical Analysis.
Difference equations
Hypergeometric functions
Symmetry groups
Symmetry (Physics)
Conference papers and proceedings
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 1. Partial Difference Equations. Discrete linearisable Gambier equations / A.K. Common, E. Hesameddini and M. Musette. Generalized Backlund transformation and new explicit solutions of the two-dimensional Toda equation / X.-B. Hu and P.A. Clarkson. Different aspects of relativistic Toda chain / S. Kharchev, A. Mironov and A. Zhedanov
  • 2. Integrable Mappings. Integrable symplectic maps / A.P. Fordy. An iterative process on quartics and integrable symplectic maps / J.P. Francoise and O. Ragnisco. Integrable mappings of KdV type and hyperelliptic addition formulae / F.W. Nijhoff and V.Z. Enolskii. R-matrix hierarchies, integrable lattice systems and their integrable discretizations / Yu. B. Suris
  • 3. Discrete Geometry.

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