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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)
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[4] Hirota, R., (Bullough, R. K.; Caudrey, P. J., Solitons (1980), Springer: Springer Berlin)
[5] Matsuno, Y., Bilinear Transformation Method (1984), Academic: Academic New York · Zbl 0552.35001
[6] Nimmo, J. J.C., (Fordy, A. P., Soliton Theory, a Survey of Results (1990), Manchester University Press: Manchester University Press Manchester)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.