Journal
MODERN PHYSICS LETTERS B
Volume 22, Issue 8, Pages 547-553Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0217984908015097
Keywords
Toda lattice equation; bilinear method; quasi-periodic solution; soliton solution
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Based on the Riemann theta function, the Hirota bilinear method is extended to directly construct a kind of explicit quasi-periodic solution of the Toda lattice equation. The asymptotic property of the quasi-periodic solution is analyzed in detail. It is of interest to see that the well-known soliton solution can be obtained as a limit of the quasi-periodic solution.
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