J. J. C. Nimmo
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Research Interests
J. J. C. Nimmo has a total of 4 co-authors. Here are the top co-authors by number of shared publications:
- Claire R. Gilson
Department of Mathematics, University of Glasgow, Glasgow G12 8QW, UK
1 shared publication - Ralph Willox
The University of Tokyo
1 shared publication - Saburo Kakei
Department of Mathematics, Rikkyo University, Nishi-Ikebukuro, Toshima-ku, Tokyo 171-8501, Japan
1 shared publication Y. Ohta
Department of Applied Mathematics, Faculty of Engineering, Hiroshima University, 1-4-1 Kagamiyama, Higashi-Hiroshima 739-8527, Japan
1 shared publication
Latest Publications
- 1 February 2009
- Published by Cambridge University Press (CUP) in Glasgow Mathematical Journal
- Vol. 51 (A) , 107-119
YANG–BAXTER MAPS AND THE DISCRETE KP HIERARCHY
We present a systematic construction of the discrete KP hierarchy in terms of Sato–Wilson-type shift operators. Reductions of the equations in this hierarchy to 1+1-dimensional integrable lattice systems are considered, and the problems that arise with regard to the symmetry algebra underlying the reduced systems as well as the ultradiscretizability of these systems are discussed. A scheme for constructing ultradiscretizable reductions that give rise to Yang–Baxter maps is explained in two explicit examples.
- 1 February 2009
- Published by Cambridge University Press (CUP) in Glasgow Mathematical Journal
- Vol. 51 (A) , 107-119
YANG–BAXTER MAPS AND THE DISCRETE KP HIERARCHY
We present a systematic construction of the discrete KP hierarchy in terms of Sato–Wilson-type shift operators. Reductions of the equations in this hierarchy to 1+1-dimensional integrable lattice systems are considered, and the problems that arise with regard to the symmetry algebra underlying the reduced systems as well as the ultradiscretizability of these systems are discussed. A scheme for constructing ultradiscretizable reductions that give rise to Yang–Baxter maps is explained in two explicit examples.
- 1 June 2001
- Published by Cambridge University Press (CUP) in Glasgow Mathematical Journal
- Vol. 43 (A) , 99-108
A bilinear approach to a Pfaffian self-dual Yang-Mills equation
By using the bilinear technique of soliton theory, a pfaffian version of the SU(2) self-dual Yang-Mills equation and its solution is constructed.
- 1 June 2001
- Published by Cambridge University Press (CUP) in Glasgow Mathematical Journal
- Vol. 43 (A) , 99-108
A bilinear approach to a Pfaffian self-dual Yang-Mills equation
By using the bilinear technique of soliton theory, a pfaffian version of the SU(2) self-dual Yang-Mills equation and its solution is constructed.