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2014 | 12 | 5 | 341-347
Article title

On some new forms of lattice integrable equations

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EN
Abstracts
EN
Inspired by the forms of delay-Painleve equations, we consider some new differential-discrete systems of KdV, mKdV and Sine-Gordon - type related by simple one way Miura transformations to classical ones. Using Hirota bilinear formalism we construct their new integrable discretizations, some of them having higher order. In particular, by this procedure, we show that the integrable discretization of intermediate sine-Gordon equation is exactly lattice mKdV and also we find a bilinear form of the recently proposed lattice Tzitzeica equation. Also the travelling wave reduction of these new lattice equations is studied and it is shown that all of them, including the higher order ones, can be integrated to Quispel-Roberts-Thomson (QRT) mappings.
Publisher

Journal
Year
Volume
12
Issue
5
Pages
341-347
Physical description
Dates
published
1 - 5 - 2014
online
8 - 5 - 2014
Contributors
  • Dept. of Theoretical Physics, National Institute of Physics and Nuclear Engineering, Atomistilor 407, 077125, Magurele, Bucharest, Romania, carstea@gmail.com
References
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Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.-psjd-doi-10_2478_s11534-014-0455-x
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