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Singularity analysis and integrability of a Burgers-type system by Foursov
Exactly Solvable and Integrable Systems (nlin.SI) Mathematical Physics (math-ph) Analysis of PDEs (math.AP)
2010/11/10
We apply the Painleve test for integrability of partial differential equations to a system of two coupled Burgers-type equations found by Foursov, which was recently shown by Sergyeyev to possess infi...
Integrability Test for Discrete Equations via Generalized Symmetries
Exactly Solvable and Integrable Systems (nlin.SI)
2010/11/10
In this article we present some integrability conditions for partial difference equations obtained using the formal symmetries approach. We apply them to find integrable partial difference equations c...
On the Complete Integrability of Nonlinear Dynamical Systems on Discrete Manifolds within the Gradient-Holonomic Approach
Exactly Solvable and Integrable Systems (nlin.SI) Mathematical Physics (math-ph)
2010/11/10
A gradient-holonomic approach for the Lax type integrability analysis of differentialdiscrete dynamical systems is devised. The asymptotical solutions to the related Lax equation are studied, the rela...