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Application of Hirota’s bilinear formalism to the Toeplitz lattice - some special soliton-like solutions. (English) Zbl 0985.35072

Summary: A Hirota’s bilinear form of the Toeplitz lattice is presented. Hirota’s bilinear method is used to construct some special soliton-like solutions of the lattice.

MSC:

35Q53 KdV equations (Korteweg-de Vries equations)
37K60 Lattice dynamics; integrable lattice equations
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References:

[1] Adler, M.; van Moerbeke, P., Comm. pure appl. math., 54, 153, (2001)
[2] Hirota, R., Phys. rev. lett., 27, 1192, (1971)
[3] Hirota, R.; Satsuma, J., Prog. theor. phys. suppl., 59, 64, (1976)
[4] Hirota, R., ()
[5] Matsuno, Y., Bilinear transformation method, (1984), Academic New York · Zbl 0552.35001
[6] Nimmo, J.J.C., ()
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