Symmetries and integrability of difference equations /
Symmetries and integrability of difference equations /
Symmetries & Integrability of Difference Equations
edited by Peter A. Clarkson, Frank W. Nijhoff.
- Cambridge : Cambridge University Press, 1999.
- 1 online resource (xvi, 424 pages) : digital, PDF file(s).
- London Mathematical Society lecture note series ; 255 .
- London Mathematical Society lecture note series ; 255. .
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Partial Difference Equations. Discrete linearisable Gambier equations / Generalized Backlund transformation and new explicit solutions of the two-dimensional Toda equation / Different aspects of relativistic Toda chain / Integrable Mappings. Integrable symplectic maps / An iterative process on quartics and integrable symplectic maps / Integrable mappings of KdV type and hyperelliptic addition formulae / R-matrix hierarchies, integrable lattice systems and their integrable discretizations / Discrete Geometry. A.K. Common, E. Hesameddini and M. Musette. X.-B. Hu and P.A. Clarkson. S. Kharchev, A. Mironov and A. Zhedanov -- A.P. Fordy. J.P. Francoise and O. Ragnisco. F.W. Nijhoff and V.Z. Enolskii. Yu. B. Suris -- 1. 2. 3.
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 mathematical physics. This volume comprises state of the art articles from almost all the leading workers in this important and rapidly developing area, making it a necessary resource for all researchers interested in discrete integrable systems or related subjects.
9780511569432 (ebook)
Difference equations--Congresses.
Hypergeometric functions--Congresses.
Symmetry (Physics)--Congresses.
QA431 / .S954 1999
515/.625
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Partial Difference Equations. Discrete linearisable Gambier equations / Generalized Backlund transformation and new explicit solutions of the two-dimensional Toda equation / Different aspects of relativistic Toda chain / Integrable Mappings. Integrable symplectic maps / An iterative process on quartics and integrable symplectic maps / Integrable mappings of KdV type and hyperelliptic addition formulae / R-matrix hierarchies, integrable lattice systems and their integrable discretizations / Discrete Geometry. A.K. Common, E. Hesameddini and M. Musette. X.-B. Hu and P.A. Clarkson. S. Kharchev, A. Mironov and A. Zhedanov -- A.P. Fordy. J.P. Francoise and O. Ragnisco. F.W. Nijhoff and V.Z. Enolskii. Yu. B. Suris -- 1. 2. 3.
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 mathematical physics. This volume comprises state of the art articles from almost all the leading workers in this important and rapidly developing area, making it a necessary resource for all researchers interested in discrete integrable systems or related subjects.
9780511569432 (ebook)
Difference equations--Congresses.
Hypergeometric functions--Congresses.
Symmetry (Physics)--Congresses.
QA431 / .S954 1999
515/.625