A differential-difference hierarchy associated with relativistic Toda and Volterra hierarchies
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
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Detail(s)
Original language | English |
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Pages (from-to) | 4578-4585 |
Journal / Publication | Physics Letters, Section A: General, Atomic and Solid State Physics |
Volume | 372 |
Issue number | 25 |
Publication status | Published - 16 Jun 2008 |
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Abstract
By embedding a free function into a compatible zero curvature equation, we enlarge the original differential-difference hierarchy into a new hierarchy with the free function which still admits zero curvature representation. The new hierarchy not only includes the original hierarchy, but also the well-known relativistic Toda hierarchy and the Volterra hierarchy as special reductions by properly choosing the free function. Infinitely many conservation laws and Darboux transformation for a representative differential-difference system are constructed based on its Lax representation. The exact solutions follow by applying the Darboux transformation. © 2008 Elsevier B.V. All rights reserved.
Research Area(s)
- Conservation law, Darboux transformation, Differential-difference hierarchy, Hamiltonian structure, Relativistic Toda hierarchy, Volterra hierarchy
Citation Format(s)
A differential-difference hierarchy associated with relativistic Toda and Volterra hierarchies. / Fan, Engui; Dai, Huihui.
In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 372, No. 25, 16.06.2008, p. 4578-4585.
In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 372, No. 25, 16.06.2008, p. 4578-4585.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review