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Articles

Trigonal Toda Lattice Equation

Pages 697-704 | Received 16 Dec 2019, Accepted 08 Mar 2020, Published online: 04 Sep 2020

References

  • R.J. Baxter, Exactly Solved Models in Statistical Mechanics, (Academic Press, London, 1982).
  • P.A. Clarkson and P.J. Olver, Symmetry and Chazy Equation, J. Diff. Equations, 124 (1996) 225–246. doi: 10.1006/jdeq.1996.0008
  • J.C. Eilbeck, V.Z. Enol’skii, S. Matsutani, Y. Ônishi, and E. Previato, Addition formulae over the Jacobian pre-image of hyperelliptic Wirtinger varieties, Journal für die reine und angewandte Mathematik (Crelles Journal), 619 (2008) 37–48.
  • J.C. Eilbeck, S. Matsutani and Y. Ônishi, Addition formulae for Abelian functions associated with specialized curves, Phil. Trans. R. Soc. A, 369 (2011) 1245–1263. doi: 10.1098/rsta.2010.0320
  • Y. Fedorov, J. Komeda, S. Matsutani, E. Previato, and K. Aomoto, The sigma function over a family of cyclic trigonal curves with a singular fiber, arXiv.1909.03858.
  • C. Godsil and G. Royle, Algebraic Graph Theory, (Springer, Berlin, 2001).
  • Y. Kodama, S. Matsutani, and E. Previato, Quasi-periodic and periodic solutions of the Toda lattice via the hyperelliptic sigma function, Annales de l’institut Fourier, 63 (2013) 655–688. doi: 10.5802/aif.2772
  • J. Komeda, S. Matsutani, and E. Previato, The sigma function for trigonal cyclic curves, Lett. Math. Phys., 109 (2019) 423–447. doi: 10.1007/s11005-018-1116-6
  • S. Matsutani, Toda Equations and σ -functions of genera one and two, J. Nonlinear Math. Phys., 10 (2003) 555–569. doi: 10.2991/jnmp.2003.10.4.8
  • Y. Ônishi, Complex multiplication formulae for hyperelliptic curves of genus three, Tokyo J. Math., 21 (1998) 381–431. doi: 10.3836/tjm/1270041822
  • M. Toda, Vibration of a Chain with Nonlinear Interaction, J. Phys. Soc. Japan, 22 (1967) 431–436. doi: 10.1143/JPSJ.22.431

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