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Ufimskii Matematicheskii Zhurnal, 2009, Volume 1, Issue 2, Pages 101–105
(Mi ufa13)
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This article is cited in 9 scientific papers (total in 9 papers)
On a nonlinear integrable difference equation on the square
D. Leviab, R. I. Yamilovc a Sezione INFN
b Dipartimento di Ingegneria Elettronica, Università degli Studi Roma Tre
c Ufa Institute of Mathematics, Russian Academy of Sciences
Abstract:
We present a nonlinear partial difference equation defined on a square which is obtained by combining the Miura transformations between the Volterra and the modified Volterra differential-difference equations. This equation is not symmetric with respect to the exchange of the two discrete variables. Its integrability is proved by constructing its Lax pair.
Keywords:
nonlinear integrable difference equation, Lax pair, Miura transformation, Volterra equation.
Received: 27.04.2009
Citation:
D. Levi, R. I. Yamilov, “On a nonlinear integrable difference equation on the square”, Ufimsk. Mat. Zh., 1:2 (2009), 101–105
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https://www.mathnet.ru/eng/ufa13 https://www.mathnet.ru/eng/ufa/v1/i2/p101
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Abstract page: | 362 | Full-text PDF : | 134 | References: | 57 | First page: | 2 |
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