Results 11 to 20 of about 159 (52)
Two-Dimensional Toda-Heisenberg Lattice [PDF]
, 2013 We consider a nonlinear model that is a combination of the anisotropic two-dimensional classical Heisenberg and Toda-like lattices. In the framework of the Hirota direct approach, we present the field equations of this model as a bilinear system, which ...
Vekslerchik, Vadim E.
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Multiple solutions for a class of oscillatory discrete problems
Advances in Nonlinear Analysis, 2015 In this paper, we study a discrete nonlinear boundary value problem that involves a nonlinear term oscillating at infinity and a power-type nonlinearity up.
Mălin Maria
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Symmetries of the Hirota Difference Equation [PDF]
, 2017 Continuous symmetries of the Hirota difference equation, commuting with shifts of independent variables, are derived by means of the dressing procedure. Action of these symmetries on the dependent variables of the equation is presented.
Pogrebkov, Andrei K.
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Linearizability of Nonlinear Equations on a Quad-Graph by a Point, Two Points and Generalized Hopf-Cole Transformations [PDF]
, 2011 In this paper we propose some linearizability tests of partial difference equations on a quad-graph given by one point, two points and generalized Hopf-Cole transformations.
Levi, Decio, Scimiterna, Christian
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High order multiscale analysis of discrete integrable equations [PDF]
Open Communications in Nonlinear Mathematical PhysicsIn this article we present the results obtained applying the multiple scale expansion up to the order $\varepsilon^6$ to a dispersive multilinear class of equations on a square lattice depending on 13 parameters. We show that the integrability conditions
Rafael Hernandez Heredero +2 more
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Well-posedness and maximum principles for lattice reaction-diffusion equations
Advances in Nonlinear Analysis, 2017 Existence, uniqueness and continuous dependence results together with maximum principles represent key tools in the analysis of lattice reaction-diffusion equations.
Slavík Antonín +2 more
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Yang-Baxter Maps from the Discrete BKP Equation [PDF]
, 2010 We construct rational and piecewise-linear Yang-Baxter maps for a general N-reduction of the discrete BKP ...
Kakei, Saburo +2 more
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Multidimensional Toda Lattices: Continuous and Discrete Time [PDF]
, 2016 In this paper we present multidimensional analogues of both the continuous- and discrete-time Toda lattices. The integrable systems that we consider here have two or more space coordinates.
Aptekarev, Alexander I. +3 more
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Differential Calculus on h-Deformed Spaces [PDF]
, 2017 We construct the rings of generalized differential operators on the ${\bf h}$-deformed vector space of ${\bf gl}$-type. In contrast to the $q$-deformed vector space, where the ring of differential operators is unique up to an isomorphism, the general ...
Herlemont, Basile, Ogievetsky, Oleg
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Conservation laws of some lattice equations
, 2012 We derive infinitely many conservation laws for some multi-dimensionally consistent lattice equations from their Lax pairs. These lattice equations are the Nijhoff-Quispel-Capel equation, lattice Boussinesq equation, lattice nonlinear Schr\"{o}dinger ...
Cheng, Jun-wei, Zhang, Da-jun
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