V E Adler and V V Postnikov 2008 J. Phys. A: Math. Theor. 41 455203 doi:10.1088/1751-8113/41/45/455203
On vector analogs of the modified Volterra lattice
V E Adler and V V Postnikov
Show affiliationsThe zero curvature representations, Bäcklund transformations, nonlinear superposition principle and the simplest explicit solutions of soliton and breather type are presented for two vector generalizations of modified Volterra lattice. The relations with some other integrable equations are established.
- PACS
- MSC
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45D05 Volterra integral equations (See also 34A12)
37K40 Soliton theory, asymptotic behavior of solutions
- Subjects
- Dates
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Issue 45 (14 November 2008)
Received 2 August 2008, in final form 8 September 2008
Published 14 October 2008
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On vector analogs of the modified Volterra lattice
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