A Matrix Model Solution of Hirota Equation
Abstract
We present a hermitian matrix chain representation of the general solution of the Hirota bilinear difference equation of three variables. In the large N limit this matrix model provides some explicit particular solutions of continuous differential Hirota equation of three variables. A relation of this representation to the eigenvalues of transfer matrices of 2D quantum integrable models is discussed.
- Publication:
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arXiv e-prints
- Pub Date:
- November 1997
- DOI:
- 10.48550/arXiv.hep-th/9711019
- arXiv:
- arXiv:hep-th/9711019
- Bibcode:
- 1997hep.th...11019K
- Keywords:
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- High Energy Physics - Theory;
- Nonlinear Sciences - Exactly Solvable and Integrable Systems;
- Exactly Solvable and Integrable Systems
- E-Print:
- 19 pages, Latex, no figures