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Integrable semi-discretizations and full-discretization of the two dimensional Leznov lattice
Integrable system Integrable discretization cklund transformation Lax pair
2012/8/8
In this paper, semi-discretizations and full-discretization of the Leznov lattice are investigated via
Hirota's bilinear formalism. As a result, two integrable semi-discrete versions and one fully di...
The su(n) WZNW fusion ring as integrable model: a new algorithm to compute fusion coefficients
Quantum integrable models Plactic algebra Bethe Ansatz Fusion ring Verlinde algebra Symmetric functions
2011/7/7
This is a proceedings article reviewing a recent combinatorial construction of the su(n) WZNW fusion ring by C. Stroppel and the author. It contains one novel aspect: the explicit derivation of an alg...
Interpolating' differential reductions of multidimensional integrable hierarchies
differential reductions multidimensional integrable hierarchies
2010/11/10
We transfer the scheme of constructing differential reductions, developed recently for the case of the Manakov-Santini hierarchy, to the general multidimensional case. We consider in more detail the ...
Matrix Integrals and Several Integrable differential-difference Systems
Matrix integrals Pfa盿n, Casorati determinant two dimensional Toda lattice di甧rential-di甧rence KP equation semi-discrete Toda lattice
2012/8/1
In this paper, the relations between three special forms of matrix integrals and their associated integrable di甧rential-di甧rence systems are considered. It turns out that these matrix integrals with s...
Two different numerical methods for nearly integrable systems
Generating Function Method Nearly Integrable System Composition Method
2012/7/31
In this paper two numerical methods: the generating function method and the composition method are analyzed for nearly integrable systems. The numerical comparison between two numerical methods is pre...
An Integrable Symmetric (2+1)-dimensional Lotka-Volterra Equation and a Family of its Solutions
a Family of its Solutions dimensional Lotka-Volterra Equation
2012/7/31
A symmetric (2+1)-dimensional Lotka-Volterra equation is proposed. By means of a dependent variable transformation, the equation is 痳stly transformed into multilinear form and further decoupled into b...
Multi-component Generalizations of Four Integrable Differential-difference Equations: Soliton Solutions and Bilinear Backlund Transformations
Soliton Solutions Bilinear Backlund Transformations
2012/7/31
Bilinear approach is applied to derive integrable multi-component generalizations of the socalled 1+1 dimensional special Toda lattice, the Volterra lattice, a simple di甧rential-di甧rence equation foun...