In this paper we construct the class of equations associated with a discrete spectral problem of third order. Among the equations of this class we find an integrable differential equation on the lattice with exponential nonlinearity. By considering its associated Darboux transformation we construct an explicit solution.
Levi, D., Grundland, A.m. (2002). Discrete third-order spectral problems and a new Toda-type equation. JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL, 35(6), L67-L73 [10.1088/0305-4470/35/6/101].
Discrete third-order spectral problems and a new Toda-type equation
LEVI, Decio;
2002-01-01
Abstract
In this paper we construct the class of equations associated with a discrete spectral problem of third order. Among the equations of this class we find an integrable differential equation on the lattice with exponential nonlinearity. By considering its associated Darboux transformation we construct an explicit solution.File in questo prodotto:
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