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2014 | 12 | 5 | 341-347
Tytuł artykułu

On some new forms of lattice integrable equations

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
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.
Słowa kluczowe
Wydawca
Czasopismo
Rocznik
Tom
12
Numer
5
Strony
341-347
Opis fizyczny
Daty
wydano
2014-05-01
online
2014-05-08
Twórcy
  • Dept. of Theoretical Physics, National Institute of Physics and Nuclear Engineering, Atomistilor 407, 077125, Magurele, Bucharest, Romania , carstea@gmail.com
Bibliografia
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Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
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