Atsushi Mukaihira and Satoshi Tsujimoto 2004 J. Phys. A: Math. Gen. 37 4557 doi:10.1088/0305-4470/37/16/006
Determinant structure of RI type discrete integrable system
Atsushi Mukaihira and Satoshi Tsujimoto
Show affiliationsA determinant structure of the RI type discrete integrable system by Vinet–Zhedanov on a semi-infinite lattice is studied using the bilinear method. Bilinear equations of the RI type discrete integrable system are derived by applying appropriate dependent variable transformations. It is shown that a particular solution for the bilinear equations on a semi-infinite lattice is given in terms of Casorati-type determinants. It is also discussed how the RI type discrete integrable system relates to the discrete relativistic Toda lattice.
- PACS
- MSC
- Subjects
- Dates
-
Issue 16 (23 April 2004)
Received 19 January 2004, in final form 11 March 2004
Published 5 April 2004
-
Determinant structure of RI type discrete integrable system
Atsushi Mukaihira and Satoshi Tsujimoto 2004 J. Phys. A: Math. Gen. 37 4557
-
Application of the density matrix renormalization group method to finite temperatures and two-dimensional systems
Naokazu Shibata 2003 J. Phys. A: Math. Gen. 36 R381
-
Recursion operator for the stationary Nizhnik–Veselov–Novikov equation
M Marvan and A Sergyeyev 2003 J. Phys. A: Math. Gen. 36 L87
-
Quantum monodromy in the two-centre problem
H Waalkens et al 2003 J. Phys. A: Math. Gen. 36 L307
-
Moments of generalized Husimi distributions and complexity of many-body quantum states
Ayumu Sugita 2003 J. Phys. A: Math. Gen. 36 9081
-
Topological defects in spinor condensates
H Mäkelä et al 2003 J. Phys. A: Math. Gen. 36 8555
-
Bounds on general entropy measures
Dominic W Berry and Barry C Sanders 2003 J. Phys. A: Math. Gen. 36 12255
-
Average and reliability error exponents in low-density parity-check codes
N S Skantzos et al 2003 J. Phys. A: Math. Gen. 36 11131
-
A new 'doubly special relativity' theory from a quantum Weyl–Poincaré algebra
Ángel Ballesteros et al 2003 J. Phys. A: Math. Gen. 36 10493
-
Statistical-mechanical approach to image processing
Kazuyuki Tanaka 2002 J. Phys. A: Math. Gen. 35 R81
Related review articles
What's this?- New integral representations of Whittaker functions for classical Lie groups
- The nonlinear Schrödinger equation with a random potential: results and puzzles
- Integrable structure of box–ball systems: crystal, Bethe ansatz, ultradiscretization and tropical geometry
, and Chern–Simons–Higgs solitons on 
: dimensional reduction of Chern–Pontryagin densities