Darboux integrability of trapezoidal H 4 and H 4 families of lattice equations I : First integrals
Articolo
Data di Pubblicazione:
2017
Citazione:
Darboux integrability of trapezoidal H 4 and H 4 families of lattice equations I : First integrals / G. Gubbiotti, R.I. Yamilov. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL. - ISSN 1751-8113. - 50:34(2017), pp. 345205.1-345205.26. [10.1088/1751-8121/aa7fd9]
Abstract:
In this paper we prove that the trapezoidal H4 and the H6 families of quadequations are Darboux integrable by constructing their first integrals. This result explains why the rate of growth of the degrees of the iterates of these equations is linear (Gubbiotti et al 2016 J. Nonlinear Math. Phys. 23 507-43), which according to the algebraic entropy conjecture implies linearizability. We conclude by showing how first integrals can be used to obtain general solutions.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
CAC; Darboux integrability; general solutions; integrable discrete equations; linearizable discrete equations
Elenco autori:
G. Gubbiotti, R.I. Yamilov
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